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1

What is ?

David Morrissey TRIUMF

SNOLAB User Meeting

August 12-13, 2021 Our Goal

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[Flammarion Engraving 1888] Building Blocks

3 u ct γ quarks s d b g force +− W mediators νe νµ ντ leptons 0 e µ τ Z

Higgs

Elementary Particles Gravity = = Standard Model (SM) General Relativity (GR) Extrapolating the SM+GR

4 Does this …

u ct γ quarks s d b g force +− W mediators νe νµ ντ leptons 0 e µ τ Z

Higgs

… explain that? Extrapolating the SM+GR

5 Does this …

u ct γ quarks s d b g force +− W mediators νe νµ ντ leptons 0 e µ τ Z

Higgs

NO!… explain that? Evidence for Dark Matter

6 Evidence for Dark Matter

7 • Data: motions of visible matter suggest lots of matter that we can’t see.

• Theory #1: there is more matter out there than we can see: Dark Matter

• Theory #2: GR breaks down at large distances: Modified Gravity

• The dark matter explanation seems to work much better! But no known particle or matter has the right properties to be dark matter.

• What is dark matter? What is Dark Matter?

8 • We don’t know!

• Evidence for DM comes from its gravitational influence on regular matter. Gravity is universal, so our current data doesn’t tell us what DM is.

� ✓ What is Dark Matter?

9 • We don’t know!

• But dark matter must: • not interact too strongly with ordinary matter (“dark”) • be non-relativistic today and in the early Universe (“matter”) • obtain the observed cosmological density (determined from CMB+) • not interact too strongly with itself (for gravitational clumping)

• Detecting DM through non-gravitational interactions is (probably) needed!

Where and how do we start looking for it? What is Dark Matter?

10 • We don’t know!

• Some DM theories:

[E.K. Park, HEPAP DMSAG, 2007] What is Dark Matter?

11 • We don’t know!

• Some more DM theories:

theories!

[E.K. Park, HEPAP DMSAG, 2007] What is Dark Matter?

12 • We don’t know!

• Some more DM theories:

theories!

[E.K. Park, HEPAP DMSAG, 2007] What is Dark Matter?

13 • In most theories, DM corresponds to a new particle or field.

• Since there are so many theories, let’s organize by production mechanisms in the early universe.*

• A useful classification:

• Thermal DM: produced by thermal SM reactions in the hot early Universe

• Non-Thermal DM: produced in other ways not related to the SM plasma

* Note: I can’t cover everything! 14

Thermal Dark Matter Thermal Dark Matter

15

AAACAHicbVDLSsNAFJ34rPUVdeHCzWAR6qYkUtRlwY0LhQp9QRPKZDpph85MwsxEKCEbf8WNC0Xc+hnu/BsnbRbaeuDC4Zx7ufeeIGZUacf5tlZW19Y3Nktb5e2d3b19++Cwo6JEYtLGEYtkL0CKMCpIW1PNSC+WBPGAkW4wucn97iORikaipacx8TkaCRpSjLSRBvZxteWNtPE59DjSY8nTe9LJzgd2xak5M8Bl4hakAgo0B/aXN4xwwonQmCGl+q4Taz9FUlPMSFb2EkVihCdoRPqGCsSJ8tPZAxk8M8oQhpE0JTScqb8nUsSVmvLAdOZHqkUvF//z+okOr/2UijjRROD5ojBhUEcwTwMOqSRYs6khCEtqboV4jCTC2mRWNiG4iy8vk85Fzb2s1R/qlcZdEUcJnIBTUAUuuAINcAuaoA0wyMAzeAVv1pP1Yr1bH/PWFauYOQJ/YH3+AEdXlkA= Early Universe = hot soup of relativistic particles • (T & MeV)

As it expanded, it cooled off and some things happened:

SM dominates DM dominates

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100 GeV 1 MeV 50 keV 0.3 eV 200 µeV T Inflation and Reheating Higgs Boson Formation of Symmetry Formation of Now Light Nuclei Neutral Atoms Breaking (CMB photons released!)

• “Thermal DM” ⇒ was once in thermodynamic equilibrium with the SM Thermal Dark Matter

16

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As it expanded, it cooled off and some things happened:

SM dominates DM dominates

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100 GeV 1 MeV 50 keV 0.3 eV 200 µeV T Inflation Extrapolation and Reheating Higgs Boson Formation of Symmetry Formation of Now Light Nuclei Neutral Atoms Breaking (CMB photons released!)

• “Thermal DM” ⇒ was once in thermodynamic equilibrium with the SM Why Thermal Dark Matter?

17 • Thermal DM is created by collisions of SM particles.

• Thermal DM can develop the correct relic abundance during the subsequent expansion and cooling of the universe through freeze out.

• Thermal DM candidates arise in many theories that extend the SM.

• Thermal DM requires non-gravity interactions between DM and the SM. ⇒ an excellent target for dark matter searches in the laboratory! Thermal Dark Matter: Equilibration

18 • Thermal DM ⇔ was once in thermodynamic equilibrium with the SM • Equilibrium needs non-gravitational interactions between DM and the SM:

DM DM DM SM

time

SM SM DM SM 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 + SM DM + SM 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 + DM SM + SM $ $ kinetic equilibrium chemical equilibrium Thermal Dark Matter: Equilibration

19 • Thermal DM ⇔ was once in thermodynamic equilibrium with the SM • Kinetic equilibrium: DM and SM have the same temperature T.

Chemical equilibrium: number density of DM species of mass mAAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE1GPBi3hqwX5AG8pmO2nX7iZhdyOU0F/gxYMiXv1J3vw3btsctPXBwOO9GWbmBYng2rjut1NYW9/Y3Cpul3Z29/YPyodHLR2nimGTxSJWnYBqFDzCpuFGYCdRSGUgsB2Mb2d++wmV5nH0YCYJ+pIOIx5yRo2VGrJfrrhVdw6ySrycVCBHvV/+6g1ilkqMDBNU667nJsbPqDKcCZyWeqnGhLIxHWLX0ohK1H42P3RKzqwyIGGsbEWGzNXfExmVWk9kYDslNSO97M3E/7xuasIbP+NRkhqM2GJRmApiYjL7mgy4QmbExBLKFLe3EjaiijJjsynZELzll1dJ66LqXVXdxmWldp/HUYQTOIVz8OAaanAHdWgCA4RneIU359F5cd6dj0VrwclnjuEPnM8f2ZuM/g== is •

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 3 eq d p 1 2 2 n , (E = m + p , ~ = c = kB = 1) DM ⇠ (2⇡)3 eE/T 1

Z ⌥ p

Bose-Einstein Relativistic or Energy Fermi-Dirac Thermal Dark Matter: Equilibration

20 • “Thermal” ⇒ DM that was once in thermodynamic equilibrium with the SM • Kinetic equilibrium: DM and SM have the same temperature T.

Chemical equilibrium: number density of DM species of mass mAAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE1GPBi3hqwX5AG8pmO2nX7iZhdyOU0F/gxYMiXv1J3vw3btsctPXBwOO9GWbmBYng2rjut1NYW9/Y3Cpul3Z29/YPyodHLR2nimGTxSJWnYBqFDzCpuFGYCdRSGUgsB2Mb2d++wmV5nH0YCYJ+pIOIx5yRo2VGrJfrrhVdw6ySrycVCBHvV/+6g1ilkqMDBNU667nJsbPqDKcCZyWeqnGhLIxHWLX0ohK1H42P3RKzqwyIGGsbEWGzNXfExmVWk9kYDslNSO97M3E/7xuasIbP+NRkhqM2GJRmApiYjL7mgy4QmbExBLKFLe3EjaiijJjsynZELzll1dJ66LqXVXdxmWldp/HUYQTOIVz8OAaanAHdWgCA4RneIU359F5cd6dj0VrwclnjuEPnM8f2ZuM/g== is •

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 3 eq d p 1 n , (E = m2 + p2, = c = k = 1) DM 3 E/T ~ B ⇠ (2⇡) e 1 Z ⌥ p T 3 ; m T ⌧ ⇠ 8 3/2 m/T (mT ) e ; m T < : Thermal Dark Matter: Freeze Out

21 • Chemical equilibrium of DM is lost as the Universe cools. Reaction rate for DM annihilation DM + DM → SM + SM : • 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

Rann = annv nDM (scattering probability) x (target density)

h i ⇠

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 AAACFXicbVDLSgMxFM34rPVVdekmWAQXUmdU1GVBFy4UqvQFnXHIpOk0NMkMSUYpQ3/Cjb/ixoUibgV3/o1pOwttPXDhcM693HtPEDOqtG1/WzOzc/MLi7ml/PLK6tp6YWOzrqJEYlLDEYtkM0CKMCpITVPNSDOWBPGAkUbQOx/6jXsiFY1EVfdj4nEUCtqhGGkj+YX9KnTDEHI/HUD3loZdjaSMHqDwU1dyeHE9OKjeHUFXUQ4dv1C0S/YIcJo4GSmCDBW/8OW2I5xwIjRmSKmWY8faS5HUFDMyyLuJIjHCPRSSlqECcaK8dPTVAO4apQ07kTQlNBypvydSxJXq88B0cqS7atIbiv95rUR3zryUijjRRODxok7CoI7gMCLYppJgzfqGICypuRXiLpIIaxNk3oTgTL48TeqHJeekZN8cF8tXWRw5sA12wB5wwCkog0tQATWAwSN4Bq/gzXqyXqx362PcOmNlM1vgD6zPHyl8nZQ= 3 3 m/T T m nDM/T 1 T m n /T e ) ⇠ ⌧ ) DM ⇠

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 • Equilibrium requires R >H 1/⌧ ann ' universe Thermal Dark Matter: Freeze Out

22 • For moderate DM-SM interaction strength:

AAAB9XicbVBNSwMxEJ2tX7V+VT16CRbBU91VUY8FPXhQqNAvaLclm6ZtaJJdkqxSlv4PLx4U8ep/8ea/MW33oK0PBh7vzTAzL4g408Z1v53M0vLK6lp2PbexubW9k9/dq+kwVoRWSchD1QiwppxJWjXMcNqIFMUi4LQeDK8nfv2RKs1CWTGjiPoC9yXrMYKNldqyk7SUQDf345NK+6yTL7hFdwq0SLyUFCBFuZP/anVDEgsqDeFY66bnRsZPsDKMcDrOtWJNI0yGuE+blkosqPaT6dVjdGSVLuqFypY0aKr+nkiw0HokAtspsBnoeW8i/uc1Y9O78hMmo9hQSWaLejFHJkSTCFCXKUoMH1mCiWL2VkQGWGFibFA5G4I3//IiqZ0WvYui+3BeKN2lcWThAA7hGDy4hBLcQhmqQEDBM7zCm/PkvDjvzsesNeOkM/vwB87nD3Ihkdo= 3 nDM/T

R H Freeze Out ann

R H ann ⌧

AAAB6nicbVDLSgNBEOyNrxhfUY9eBoPgKe6KqMeAFw8eIpoHJEuYncwmQ+axzMwKYcknePGgiFe/yJt/4yTZgyYWNBRV3XR3RQlnxvr+t1dYWV1b3yhulra2d3b3yvsHTaNSTWiDKK50O8KGciZpwzLLaTvRFIuI01Y0upn6rSeqDVPy0Y4TGgo8kCxmBFsnPQRnoleu+FV/BrRMgpxUIEe9V/7q9hVJBZWWcGxMJ/ATG2ZYW0Y4nZS6qaEJJiM8oB1HJRbUhNns1Ak6cUofxUq7khbN1N8TGRbGjEXkOgW2Q7PoTcX/vE5q4+swYzJJLZVkvihOObIKTf9GfaYpsXzsCCaauVsRGWKNiXXplFwIweLLy6R5Xg0uq/79RaV2l8dRhCM4hlMI4ApqcAt1aACBATzDK7x53Hvx3r2PeWvBy2cO4Q+8zx+2H410 AAAB6nicbVA9SwNBEJ2LXzF+RS1tFoNgFe9E1DJgY2ERMV+QHGFvs5cs2ds7dueEcOQn2FgoYusvsvPfuEmu0OiDgcd7M8zMCxIpDLrul1NYWV1b3yhulra2d3b3yvsHLROnmvEmi2WsOwE1XArFmyhQ8k6iOY0CydvB+Gbmtx+5NiJWDZwk3I/oUIlQMIpWevDOGv1yxa26c5C/xMtJBXLU++XP3iBmacQVMkmN6Xpugn5GNQom+bTUSw1PKBvTIe9aqmjEjZ/NT52SE6sMSBhrWwrJXP05kdHImEkU2M6I4sgsezPxP6+bYnjtZ0IlKXLFFovCVBKMyexvMhCaM5QTSyjTwt5K2IhqytCmU7IheMsv/yWt86p3WXXvLyq1uzyOIhzBMZyCB1dQg1uoQxMYDOEJXuDVkc6z8+a8L1oLTj5zCL/gfHwDkDuNWw== 1/m 1/T

time Thermal Dark Matter: Freeze Out

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 26 3 23 n 3 10 cm /s • Dark Matter “relic density from freeze out: DM ⇥ nobs ' annv

AAAB9XicbVBNSwMxEJ2tX7V+VT16CRbBU91VUY8FPXhQqNAvaLclm6ZtaJJdkqxSlv4PLx4U8ep/8ea/MW33oK0PBh7vzTAzL4g408Z1v53M0vLK6lp2PbexubW9k9/dq+kwVoRWSchD1QiwppxJWjXMcNqIFMUi4LQeDK8nfv2RKs1CWTGjiPoC9yXrMYKNldqyk7SUQDf345NK+6yTL7hFdwq0SLyUFCBFuZP/anVDEgsqDeFY66bnRsZPsDKMcDrOtWJNI0yGuE+blkosqPaT6dVjdGSVLuqFypY0aKr+nkiw0HokAtspsBnoeW8i/uc1Y9O78hMmo9hQSWaLejFHJkSTCFCXKUoMH1mCiWL2VkQGWGFibFA5G4I3//IiqZ0WvYui+3BeKN2lcWThAA7hGDy4hBLcQhmqQEDBM7zCm/PkvDjvzsesNeOkM/vwB87nD3Ihkdo= h i 3 nDM/T Freeze Out

v h iann

AAAB6nicbVDLSgNBEOyNrxhfUY9eBoPgKe6KqMeAFw8eIpoHJEuYncwmQ+axzMwKYcknePGgiFe/yJt/4yTZgyYWNBRV3XR3RQlnxvr+t1dYWV1b3yhulra2d3b3yvsHTaNSTWiDKK50O8KGciZpwzLLaTvRFIuI01Y0upn6rSeqDVPy0Y4TGgo8kCxmBFsnPQRnoleu+FV/BrRMgpxUIEe9V/7q9hVJBZWWcGxMJ/ATG2ZYW0Y4nZS6qaEJJiM8oB1HJRbUhNns1Ak6cUofxUq7khbN1N8TGRbGjEXkOgW2Q7PoTcX/vE5q4+swYzJJLZVkvihOObIKTf9GfaYpsXzsCCaauVsRGWKNiXXplFwIweLLy6R5Xg0uq/79RaV2l8dRhCM4hlMI4ApqcAt1aACBATzDK7x53Hvx3r2PeWvBy2cO4Q+8zx+2H410 1/m 1/T

time Thermal Dark Matter: Freeze Out

24 • Thermal DM can produce the observed abundance by Freeze Out!

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 26 3 • Requirement: v 3 10 cm /s h ann i' ⇥ This is determined by particle physics. • e.g.

DM SM 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 4 gDM mediator annv 2 h i'mDM DM SM Thermal Dark Matter: WIMPs

25 • Special case: WIMP = Weakly Interacting Massive Particle

AAAB/HicdVDLSgMxFM34rPU12qWbYBFcDZl2bLss6EIEoYJ9QKeUTJq2ocnMkGSEYai/4saFIm79EHf+jelDUNEDF07OuZfce4KYM6UR+rBWVtfWNzZzW/ntnd29ffvgsKWiRBLaJBGPZCfAinIW0qZmmtNOLCkWAaftYHI+89t3VCoWhbc6jWlP4FHIhoxgbaS+XRj1M18KeHE9hb5iAiKn3LeLyEGVahWVzfPMq5VLniE1zzUcug6aowiWaPTtd38QkUTQUBOOleq6KNa9DEvNCKfTvJ8oGmMywSPaNTTEgqpeNl9+Ck+MMoDDSJoKNZyr3ycyLJRKRWA6BdZj9dubiX953UQPa72MhXGiaUgWHw0TDnUEZ0nAAZOUaJ4agolkZldIxlhiok1eeRPC16Xwf9IqOW7FQTdesX61jCMHjsAxOAUuqII6uAQN0AQEpOABPIFn6956tF6s10XrirWcKYAfsN4+AT5Rk+U= • weak interactions between DM and SM predict gDM 0.3 ⇠

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 • correct freeze out density then follows for m 100 3000 GeV DM ⇠ New particles in this mass range are motivated by Higgs quantum stability! •

⇒ “WIMP Miracle”

• Some WIMP candidates: • lightest superpartner in supersymmetry (LSP) • lightest odd particle in any theory with a new DM parity (LKP, LTP,…) • heavier friends of the SM Freeze Out Beyond WIMPS

26

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 • Freeze Out works over a wide mass range: 10 MeV . mDM . 100 TeV

WIMP AAAB/XicbZDLSgMxFIYz9Vbrbbzs3ASL4KrOSFGXBQVFECrYC7TDkEkzbWiSGZKMUIfBV3HjQhG3voc738Z02oW2/hD4+M85nJM/iBlV2nG+rcLC4tLySnG1tLa+sbllb+80VZRITBo4YpFsB0gRRgVpaKoZaceSIB4w0gqGF+N664FIRSNxr0cx8TjqCxpSjLSxfHuP+2lXcnh5mx3ncEWamW+XnYqTC86DO4UymKru21/dXoQTToTGDCnVcZ1YeymSmmJGslI3USRGeIj6pGNQIE6Ul+bXZ/DQOD0YRtI8oWHu/p5IEVdqxAPTyZEeqNna2Pyv1kl0eO6lVMSJJgJPFoUJgzqC4yhgj0qCNRsZQFhScyvEAyQR1iawkgnBnf3yPDRPKu5ppXpXLddupnEUwT44AEfABWegBq5BHTQABo/gGbyCN+vJerHerY9Ja8GazuyCP7I+fwCdfZS4 mDM/GeV

AAAB7XicbVBNSwMxEJ2tX7V+VT16CRbBU8mKqMeCF/FUwX5Au5Zsmm1js8mSZIWy9D948aCIV/+PN/+NabsHbX0w8Hhvhpl5YSK4sRh/e4WV1bX1jeJmaWt7Z3evvH/QNCrVlDWoEkq3Q2KY4JI1LLeCtRPNSBwK1gpH11O/9cS04Ure23HCgpgMJI84JdZJTR8/ZHjSK1dwFc+AlomfkwrkqPfKX92+omnMpKWCGNPxcWKDjGjLqWCTUjc1LCF0RAas46gkMTNBNrt2gk6c0keR0q6kRTP190RGYmPGceg6Y2KHZtGbiv95ndRGV0HGZZJaJul8UZQKZBWavo76XDNqxdgRQjV3tyI6JJpQ6wIquRD8xZeXSfOs6l9Uz+/OK7XbPI4iHMExnIIPl1CDG6hDAyg8wjO8wpunvBfv3fuYtxa8fOYQ/sD7/AHUdY6u AAAB7XicbVBNSwMxEJ2tX7V+VT16CRbBU9ktRT0WvIinCvYD2rVk02wbm02WJCuUpf/BiwdFvPp/vPlvzLZ70NYHA4/3ZpiZF8ScaeO6305hbX1jc6u4XdrZ3ds/KB8etbVMFKEtIrlU3QBrypmgLcMMp91YURwFnHaCyXXmd56o0kyKezONqR/hkWAhI9hYqe25D2ltNihX3Ko7B1olXk4qkKM5KH/1h5IkERWGcKx1z3Nj46dYGUY4nZX6iaYxJhM8oj1LBY6o9tP5tTN0ZpUhCqWyJQyaq78nUhxpPY0C2xlhM9bLXib+5/USE175KRNxYqggi0VhwpGRKHsdDZmixPCpJZgoZm9FZIwVJsYGVLIheMsvr5J2repdVOt39UrjNo+jCCdwCufgwSU04Aaa0AICj/AMr/DmSOfFeXc+Fq0FJ585hj9wPn8A13+OsA== AAAB7XicbVBNSwMxEJ3Ur1q/qh69BIvgqexKUY8FL+Kpgv2Adi3ZNNtGs8mSZIWy9D948aCIV/+PN/+NabsHbX0w8Hhvhpl5YSK4sZ73jQorq2vrG8XN0tb2zu5eef+gZVSqKWtSJZTuhMQwwSVrWm4F6ySakTgUrB0+Xk399hPThit5Z8cJC2IylDzilFgntXzvPqtN+uWKV/VmwMvEz0kFcjT65a/eQNE0ZtJSQYzp+l5ig4xoy6lgk1IvNSwh9JEMWddRSWJmgmx27QSfOGWAI6VdSYtn6u+JjMTGjOPQdcbEjsyiNxX/87qpjS6DjMsktUzS+aIoFdgqPH0dD7hm1IqxI4Rq7m7FdEQ0odYFVHIh+IsvL5PWWdU/r9Zua5X6TR5HEY7gGE7BhwuowzU0oAkUHuAZXuENKfSC3tHHvLWA8plD+AP0+QPaiY6y AAAB7XicbVBNSwMxEJ2tX7V+VT16CRbBU9mVUj0WvIinCvYD2rVk02wbm02WJCuUpf/BiwdFvPp/vPlvzLZ70NYHA4/3ZpiZF8ScaeO6305hbX1jc6u4XdrZ3ds/KB8etbVMFKEtIrlU3QBrypmgLcMMp91YURwFnHaCyXXmd56o0kyKezONqR/hkWAhI9hYqe25D2l9NihX3Ko7B1olXk4qkKM5KH/1h5IkERWGcKx1z3Nj46dYGUY4nZX6iaYxJhM8oj1LBY6o9tP5tTN0ZpUhCqWyJQyaq78nUhxpPY0C2xlhM9bLXib+5/USE175KRNxYqggi0VhwpGRKHsdDZmixPCpJZgoZm9FZIwVJsYGVLIheMsvr5L2RdWrV2t3tUrjNo+jCCdwCufgwSU04Aaa0AICj/AMr/DmSOfFeXc+Fq0FJ585hj9wPn8A3ZOOtA== AAAB7nicbVDLSgNBEOyNrxhfUY9eBoPgxbAbgnoMeBFPEcwDkjXMTibJkNnZZaZXCEs+wosHRbz6Pd78GyfJHjSxoKGo6qa7K4ilMOi6305ubX1jcyu/XdjZ3ds/KB4eNU2UaMYbLJKRbgfUcCkUb6BAydux5jQMJG8F45uZ33ri2ohIPeAk5n5Ih0oMBKNopZbnPqYXlWmvWHLL7hxklXgZKUGGeq/41e1HLAm5QiapMR3PjdFPqUbBJJ8WuonhMWVjOuQdSxUNufHT+blTcmaVPhlE2pZCMld/T6Q0NGYSBrYzpDgyy95M/M/rJDi49lOh4gS5YotFg0QSjMjsd9IXmjOUE0so08LeStiIasrQJlSwIXjLL6+SZqXsXZar99VS7S6LIw8ncArn4MEV1OAW6tAABmN4hld4c2LnxXl3PhatOSebOYY/cD5/AEJEjuc= 2 0 2 4 6 10 10 10 10 10 Freeze Out DM New forces connecting DM to the SM are needed to get the right freeze out

AAACE3icdZDLSgMxFIYzXmu9jbp0EyyCiA4ZW22XBQVFEBTsBTrDkEnTGkxmhiQjlKHv4MZXceNCEbdu3Pk2ZmoFFf0h8PGfc8g5f5hwpjRC79bE5NT0zGxhrji/sLi0bK+sNlWcSkIbJOaxbIdYUc4i2tBMc9pOJMUi5LQVXh/m9dYNlYrF0aUeJNQXuB+xHiNYGyuwt0WQeVLAo7Mh9BQT0EXI29n1dsooB09gfSVFdkybw8AuIQcdVKuoDJGzX6mV9yoGahXXMHQdNFIJjHUe2G9eNyapoJEmHCvVcVGi/QxLzQinw6KXKppgco37tGMwwoIqPxvdNISbxunCXizNizQcud8nMiyUGojQdOY7qt+13Pyr1kl1r+ZnLEpSTSPy+VEv5VDHMA8IdpmkRPOBAUwkM7tCcoUlJtrEWDQhfF0K/4fmnuMeOOiiUqqfjuMogHWwAbaAC6qgDk7AOWgAAm7BPXgET9ad9WA9Wy+frRPWeGYN/JD1+gGtA5w4 density for masses outside the WIMP range of m 100 3000 GeV . DM ⇠ • Idea: dark matter might be part of a larger dark sector! Beyond WIMPS: Dark Sectors

27 • Idea: (thermal) dark matter might be part of a larger dark sector!

e.g. Dark Matter coupled to a (massive)

−2

ε 10 e (g-2) NA48/2 A1 HL-LHC −3 CMS 10 E774 LHCb SM APEX DM BaBar mu3e (phase1) −4 NA64(e) Belle II 10 mu3e (phase2) HPS -1 -1

AAAB73icbVA9SwNBEJ2LXzF+RS1tFoNgFe4kqGXAxsIigvmA5Ah7m7lkyd7eubsnhCN/wsZCEVv/jp3/xk1yhSY+GHi8N8PMvCARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKXjVDFssljEqhNQjYJLbBpuBHYShTQKBLaD8c3Mbz+h0jyWD2aSoB/RoeQhZ9RYqdPDRHMRy3654lbdOcgq8XJSgRyNfvmrN4hZGqE0TFCtu56bGD+jynAmcFrqpRoTysZ0iF1LJY1Q+9n83ik5s8qAhLGyJQ2Zq78nMhppPYkC2xlRM9LL3kz8z+umJrz2My6T1KBki0VhKoiJyex5MuAKmRETSyhT3N5K2IgqyoyNqGRD8JZfXiWti6p3Wa3d1yr1uzyOIpzAKZyDB1dQh1toQBMYCHiGV3hzHp0X5935WLQWnHzmGP7A+fwBUsGQMw== LHCb: 15 fb (solid), 300 fb (dotted) E141 −5 10 18 20 AAAB/XicbVDLSgMxFM3UV62v8bFzEyyCqzJTBV0W3HRZwT6gM5RMmmljM0lIMkIdqr/ixoUibv0Pd/6NaTsLbT1w4XDOvdx7TyQZ1cbzvp3Cyura+kZxs7S1vbO75+4ftLRIFSZNLJhQnQhpwignTUMNIx2pCEoiRtrR6Hrqt++J0lTwWzOWJEzQgNOYYmSs1HOPHgMiNWWCB3KIuBFJdjfpuWWv4s0Al4mfkzLI0ei5X0Ff4DQh3GCGtO76njRhhpShmJFJKUg1kQiP0IB0LeUoITrMZtdP4KlV+jAWyhY3cKb+nshQovU4iWxngsxQL3pT8T+vm5r4Kswol6khHM8XxSmDRsBpFLBPFcGGjS1BWFF7K8RDpBA2NrCSDcFffHmZtKoV/7xSvbko1+p5HEVwDE7AGfDBJaiBOmiAJsDgATyDV/DmPDkvzrvzMW8tOPnMIfgD5/MHqrGWBg== DarkQuest: 10 pot (solid), 10 pot (dotted) ✏ε ✏ FASER nu-Cal NA62-dump −6 10 FASER2CHARM

γ X −7 10 E137 SHiP 10−8 SN1987A SM DM 10−9 10−3 10−2 10−1 1 10 102 103 m (GeV) m[Lafranchi,A' [GeV] AAAB+3icbVDLSgMxFM34rPU11qWbYBHqpsxUQZcFF3ZZwT6gHYZMmmlDk8yQZMQyjJ/ixoUibv0Rd/6NmXYW2nogcDjnXu7JCWJGlXacb2ttfWNza7u0U97d2z84tI8qXRUlEpMOjlgk+wFShFFBOppqRvqxJIgHjPSC6U3u9x6IVDQS93oWE4+jsaAhxUgbybcr3O8/1YYc6Ynk6S3pZue+XXXqzhxwlbgFqYICbd/+Go4inHAiNGZIqYHrxNpLkdQUM5KVh4kiMcJTNCYDQwXiRHnpPHsGz4wygmEkzRMaztXfGyniSs14YCbzkGrZy8X/vEGiw2svpSJONBF4cShMGNQRzIuAIyoJ1mxmCMKSmqwQT5BEWJu6yqYEd/nLq6TbqLsX9cbdZbXZKuoogRNwCmrABVegCVqgDToAg0fwDF7Bm5VZL9a79bEYXbOKnWPwB9bnD7GrlDs= X Pospelov, Schuster 2020] Beyond Thermal Freeze Out

28 • Asymmetric DM: more DM than anti-DM, nearly all anti-DM annihilates (Analogous to the density of regular matter, but why an asymmetry?)

• Super-WIMP DM: a thermal particle freezes out and then decays to DM

• Self-Heating (Cannibal) DM: relic density from 3 → 2 self-annihilation

• Freeze-In DM: DM is never thermalized but created by SM collisions

• …

• All these mechanisms rely on DM interactions with matter beyond gravity! Dark Matter Detection (Thermal)

29 • We want non-gravitational evidence for dark matter! This is expected for thermal dark matter. Direct

• Three main approaches: DM DM Indirect, Freeze Out

1. Direct Detection → scattering of local DM in detectors Collider 2. Indirect Detection → cosmic rays and more from DM SM SM 3. Colliders → create DM in energetic collisions “shake it, break it, make it” Dark Matter Detection (Thermal)

30 • We want non-gravitational evidence for dark matter! This is expected for thermal (WIMP) dark matter. Direct • Three main approaches: DM DM

1. Direct Detection Indirect → scattering of local DM in detectors Collider 2. Indirect Detection → cosmic rays and more from DM SM SM 3. Colliders → create DM in energetic collisions “shake it, break it, make it” Dark Matter Direct Detection (Thermal)

31 • Searches for DM-nuclear scattering have not seen anything yet. • For spin-independent elastic scattering on nuclei:

background

DM [Schumann, 1903.03026] Dark Matter Direct Detection (Thermal)

32 • Searches for DM-nuclear scattering have not seen anything yet. • For spin-independent elastic scattering on nuclei:

WIMP region

neutrino background

DM [Schumann, 1903.03026] Dark Matter Direct Detection (Thermal)

33 • Searches for DM-nuclear scattering have not seen anything yet. • For spin-independent elastic scattering on nuclei:

WIMP-like region

WIMP region

neutrino background

DM [Schumann, 1903.03026] Direct Detection Beyond Thermal

34 • Previous SI bounds zoomed out and compared with other limits: -6 ) 10 2 cmb gas clouds mica (cm nx σ 10-16 skylab imp

cdms 10-26 cr mini xqc dama cr xe cresst

10-36 news-g, cresst, , cdms

, lux, 10-46

SI nucleon scattering cross section cross section scattering SI nucleon 0.01 100.00 106 1010 1014 1018 1022 1026

mDM (GeV) [Bhoonah et al. 2018] Dark Matter Direct Detection (Thermal)

35 • Searches for DM-nuclear scattering have not seen anything yet. • For spin-dependent elastic scattering on nuclei:

DM DM [Schumann, 1903.03026] Dark Matter Direct Detection (Thermal)

36 • Searches for DM-electron scattering have not seen anything yet. • These are sensitive to lower masses due to kinematics.

DM DM

[SENSEI, 2004.11378] 37

Non-Thermal Dark Matter Non-Thermal Dark Matter

38 • DM does not have to be thermal - no guarantees!

• Non-thermal usually implies tiny interactions between DM and SM.

• e.g. heavy particle produced with “just so” abundance in inflation → not a very compelling production story

• e.g. primordial black holes (PBHs) 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 16 10 → hard to create enough of them, only allowed for MBH [10 , 10 ] M 2 • e.g. (QCD , axion-like particles = ALPs) → well-motivated and potentially detectable Non-Thermal Dark Matter

39 • DM does not have to be thermal - no guarantees!

• Non-thermal usually implies tiny interactions between DM and SM.

• e.g. heavy particle produced with “just so” abundance in inflation → not a very compelling production story

• e.g. primordial black holes (PBHs) 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 16 10 → hard to create enough of them, only allowed for MBH [10 , 10 ] M 2 • e.g. axions (QCD axion, axion-like particles = ALPs) → well-motivated and potentially detectable Axion-(Like) Dark Matter

40 • Axion = pseudoscalar boson associated with approximate symmetry breaking Can be DM if they couple very feebly to the SM and are non-thermal! •

Va Axion DM Formation

axion field is displaced from its minimum • a fixed by Hubble expansion

• field starts to oscillate coherently as the AAAB9XicbVBNS8NAEJ3Ur1q/qh69LBbBU0mkqMeClx4r2FZoY9lsJ+3S3STsbpQS+j+8eFDEq//Fm//GbZuDtj4YeLw3w8y8IBFcG9f9dgpr6xubW8Xt0s7u3v5B+fCoreNUMWyxWMTqPqAaBY+wZbgReJ8opDIQ2AnGNzO/84hK8zi6M5MEfUmHEQ85o8ZKDw3SE6i15pLIPu2XK27VnYOsEi8nFcjR7Je/eoOYpRIjwwTVuuu5ifEzqgxnAqelXqoxoWxMh9i1NKIStZ/Nr56SM6sMSBgrW5Ehc/X3REal1hMZ2E5JzUgvezPxP6+bmvDaz3iUpAYjtlgUpoKYmMwiIAOukBkxsYQyxe2thI2ooszYoEo2BG/55VXSvqh6l9Xaba1Sb+RxFOEETuEcPLiCOjSgCS1goOAZXuHNeXJenHfnY9FacPKZY/gD5/MH4zqSJg== expansion slows down H . ma oscillation energy gravitates like matter a • and acts as DM

⇒ axions are “wave like” dark matter QCD Axions

41 • QCD (= strong force) has a problem with too much CP violation.

• Can be solved with a light axion field a AAAB6XicdVBNS8NAEJ3Ur1q/qh69LBbBU0ja2PZY8OLBQxX7AW0om+2mXbrZhN2NUEr/gRcPinj1H3nz37hpK6jog4HHezPMzAsSzpR2nA8rt7a+sbmV3y7s7O7tHxQPj9oqTiWhLRLzWHYDrChngrY005x2E0lxFHDaCSaXmd+5p1KxWNzpaUL9CI8ECxnB2ki3uDAolhzbqdZqTgU59oVXr5Q9Q+qeazhybWeBEqzQHBTf+8OYpBEVmnCsVM91Eu3PsNSMcDov9FNFE0wmeER7hgocUeXPFpfO0ZlRhiiMpSmh0UL9PjHDkVLTKDCdEdZj9dvLxL+8XqrDuj9jIkk1FWS5KEw50jHK3kZDJinRfGoIJpKZWxEZY4mJNuFkIXx9iv4n7bLtVm3vxis1rldx5OEETuEcXKhBA66gCS0gEMIDPMGzNbEerRfrddmas1Yzx/AD1tsnb+eNWw== that couples to the gluon.

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 ↵s a a aµ⌫ Gµ⌫ G L 8⇡ fa • Axion mass and potential come from QCD confinement.

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 e m f 107 GeV m ⇡ ⇡ 1 eV a ⇠ f ⇠ f a ✓ a ◆ • Realistic axion theories also predict photon and fermion couplings.

AAAClXicdVFbb9MwFHbCbZRbGQ888GJRIQ2BqmTL1rwgDYoqHiYxJLpNqkt04jitNTuxYgdUWflH/Bre+Dc4TSoBgiPZ+s53bvZ3UiW4NkHw0/Nv3Lx1+87e3cG9+w8ePho+3r/QZV1RNqelKKurFDQTvGBzw41gV6piIFPBLtPraRu//Moqzcvis9kotpSwKnjOKRhHJcPvRIJZUxD2rMGY6FppZjDJK6CWgFBraGxMFG/I6450fp6Ac6eJBbICKfvbUbPEElmTom7IN54xw0XG7Kz5smPxq77zNMm7NgdEQWU4iMSlYHjppqRQ2bzpem4rd/g4T4ajYBycTCbBEQ7Gx1F8dBg5EEehwzgcB1sbod7Ok+EPkpW0lqwwVIDWizBQZmnbkVSwZkBqzRTQa1ixhYMFSKaXdqtqg184JsN5WblTGLxlf6+wILXeyNRlthrqv2Mt+a/YojZ5vLS8ULVhBe0G5bXApsTtinDGK0aN2DgAtOLurZiuwelm3CIHToTdT/H/wcXhODwZR5+i0elZL8ceeoaeowMUogk6RR/QOZoj6u17sffWe+c/9d/47/1Zl+p7fc0T9If5H38BM3zNXA== ↵ a µ⌫ Cf µ 5 Ca Fµ⌫ F + (@µa) f¯ f L 8⇡ fa fa e QCD Axion Direct Detection

42 • Direct detection of axions is very different from WIMP(-like) DM.

• Use the photon coupling!

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 ↵ a µ⌫ ↵ a Ca Fµ⌫ F = Ca E~ B~ 8⇡ fa 8⇡ fa · • Search for axions via conversion within resonant cavities: AAAB9XicbVC7TsMwFL0pr1JeBUYWiwqJqUoQAsYiFgaGItGH1IbKcZ3Wqu1EtgNUUf+DhQGEWPkXNv4Gp80ALUeydHzOvfLxCWLOtHHdb6ewtLyyulZcL21sbm3vlHf3mjpKFKENEvFItQOsKWeSNgwznLZjRbEIOG0Fo6vMbz1QpVkk78w4pr7AA8lCRrCx0n1XYDNUIr18srdJr1xxq+4UaJF4OalAjnqv/NXtRyQRVBrCsdYdz42Nn2JlGOF0UuommsaYjPCAdiyVWFDtp9PUE3RklT4KI2WPNGiq/t5IsdB6LAI7maXU814m/ud1EhNe+CmTcWKoJLOHwoQjE6GsAtRnihLDx5ZgopjNisgQK0yMLapkS/Dmv7xImidV76x6entaqd3kdRThAA7hGDw4hxpcQx0aQEDBM7zCm/PovDjvzsdstODkO/vwB87nDx3KkvU= Axione Axion

E Field Light QCD Axion Direct Detection

43 • Direct detection of axions is very different from WIMP(-like) DM.

• Search for axions via conversion within resonantADMX Achieved andcavities: Projected Sensitivity Cavity Frequency (GHz)

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 1 10 100 ↵ a ~ ~ Ca E B Non RF-cavity Techniques 10-10

L 8⇡ fa · ) -1 White Dwarf and Bounds

10-13 | (GeV

Axion γγ ADMX ADMX ADMX a Published Upgrade in HF R&D Limits Progress Target "Hadronic" Coupling 10-14 Sensitivity

Minimum Coupling

10-15 Axion

Too Much Dark Matter ADMX Next Generation Target E Field Axion Coupling |g 10-16

Light 10 100 1000 Axion Mass (µeV) [ADMX 2013] QCD Axion Direct Detection

44 • Direct detection of axions is very different from WIMP(-like) DM.

• Search for axions via conversion within resonant cavities:

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 ↵ a Ca E~ B~ L 8⇡ fa · Axion

E Field Light [ADMX 2019] (QCD) Axion Direct Detection

45 • Direct searches for WIMP-like DM can also be sensitive to axions!

AAAB/nicbVDLSgMxFL1TX7W+RsWVm2ARXJUZKeqyIIILFxXsA9pSMmmmDU0yQ5IRylDwV9y4UMSt3+HOvzHTzkJbDyQczrmXnJwg5kwbz/t2Ciura+sbxc3S1vbO7p67f9DUUaIIbZCIR6odYE05k7RhmOG0HSuKRcBpKxhfZ37rkSrNIvlgJjHtCTyULGQEGyv13aMbhLqaCXsLbEZKpGPanPbdslfxZkDLxM9JGXLU++5XdxCRRFBpCMdad3wvNr0UK8MIp9NSN9E0xmSMh7RjqcSC6l46iz9Fp1YZoDBS9kiDZurvjRQLrScisJNZRr3oZeJ/Xicx4VUvZTJODJVk/lCYcGQilHWBBkxRYvjEEkwUs1kRGWGFibGNlWwJ/uKXl0nzvOJfVKr31XLtLq+jCMdwAmfgwyXU4Bbq0AACKTzDK7w5T86L8+58zEcLTr5zCH/gfP4AFdeU/Q== • Axions can be created in the Sun with E keV and escape to us. WIMP-like DM searches are sensitive to recoils⇠ in this energy range.

• XENON1T even sees an excess in electron recoils with an axion-consistent shape.

[XENON, 2006.09721] What is Dark Matter

46 • We don’t know!

• Thermal dark matter motivates searches in direct detection, indirect detection, and colliders.

• Non-thermal dark matter may also be detectable in the lab.

• A diverse range of probes are needed to test the many possibilities.

• Discovering Dark Matter would teach us about particle physics as well as the evolution of the very early Universe! 47

Thank you Merci www..ca Follow us @TRIUMFLab 48

Extra Slides DM Evidence #1: Galaxy Rotation

49 • Many galaxies look like rotating pancakes of stars. Compare rotation velocity to visible matter enclosed:

30 kpc

• More matter is needed! (Vera Rubin 1970) DM Evidence #2: Galaxy Clusters

50 • Galaxies are often found within self-gravitating galaxy clusters.

• Virial Theorem:

AAACZHicdVFBa9swGJW9bu2ybnVXdhoUsdCyk5HTrMmxMMZ2GaRlSQtxZmRFTkVk2UifC0F1f+RuO+6y3zElcaDdug8ET+99T5/0lJZSGCDkp+c/2Xr6bHvneevF7stXe8H+65EpKs34kBWy0FcpNVwKxYcgQPKrUnOap5JfpvOPS/3yhmsjCvUNFiWf5HSmRCYYBUclgY0lVTPJ8afEzoWqcazX++O72Ij8Djf67ei2UeK4dezWxnfzvZPYGZX1P8ZMU2Y/f00sFFDXm0H2YtNZJ0GbhOS01yMnmIQfuv2TTteBfjdyGEchWVUbNTVIgh/xtGBVzhUwSY0ZR6SEiaUaBHPnteLK8JKyOZ3xsYOK5txM7CqkGh85ZoqzQrulAK/Y+w5Lc2MWeeo6cwrX5m9tST6mjSvI+hMrVFkBV2w9KKskhgIvE8dToTkDuXCAMi3cXTG7pi4ccP/SciFsXor/D0adMDoNyXm3fTZo4thBb9E79B5FqIfO0Bc0QEPE0C9v2wu8fe+3v+sf+G/Wrb7XeA7Qg/IP/wACQLm7 E V h kini⇠h| |i

2 GMtot v h gali⇠ R h i few Mpc • More mass is needed to explain the observed velocities! (Fritz Zwicky 1933) DM Evidence #3: CMB

51 • CMB = Cosmic Microwave Background = 2.725 K photons left from Big Bang

• Temperature fluctuations in the CMB depend on energy content of Universe.

100 (a) Baryons (b) Matter

80

60

40

20

0.02 0.04 0.06 0.1 0.2 0.3 0.4 0.5 10 100 1000 10 100 1000 l l [Planck 2013] [Wayne Hu]

• Data fits to 30% of energy in matter, but only 5% in regular matter (baryons)! Evidence for Dark Matter DM Evidence 52

grav. lens CMB galaxy cluster galaxy

Earth → Sun Sun Earth cat

atom

nucleus nucleon

electron, quark, … Energy Content of the Universe

53 • Energy content of the Universe now:

[Ben Finney 2012]

• Only 5% of matter seems to come from stuff in the Standard Model!

• Missing matter = “Dark Matter” What is Dark Matter?

54 • We don’t know!

Some DM theories: • Thermal DM • Thermal DM is a good place to start!

• But keep in mind Non-Thermal too!

[E.K. Park, HEPAP DMSAG, 2007] Dark Matter Near Us

55 • If DM exists, we should be surrounded by it.

DM Halo

Us Galactic Disc 100 pc 8.5 kpc

20 kpc 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 3 ⇢ 0.3 GeV/cm • In our local region: DM ' 3 v 300 km/s 10 c h DMi' ' Dark Matter Detection in the Lab

56 • If DM is all around us and interacts with the SM, it might be detectable!

• Direct Detection: (elastic) scattering in a detector.

DM

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 T = E E0 DM DM ~q = p~ p~ 0 Detector DM DM

AAAB83icdVDLSgMxFM34rPVVdekmWIQKMmTase2y4MZlxb6gM5RMmrahmcyYZApl6G+4caGIW3/GnX9j+hBU9MCFwzn3cu89QcyZ0gh9WGvrG5tb25md7O7e/sFh7ui4paJEEtokEY9kJ8CKciZoUzPNaSeWFIcBp+1gfD332xMqFYtEQ09j6od4KNiAEayN5N0VGpfehJL0fnbRy+WRjcqVCipBZF+51VLRNaTqOoZDx0YL5MEK9V7u3etHJAmp0IRjpboOirWfYqkZ4XSW9RJFY0zGeEi7hgocUuWni5tn8NwofTiIpCmh4UL9PpHiUKlpGJjOEOuR+u3Nxb+8bqIHVT9lIk40FWS5aJBwqCM4DwD2maRE86khmEhmboVkhCUm2sSUNSF8fQr/J62i7ZRtdOvma/VVHBlwCs5AATigAmrgBtRBExAQgwfwBJ6txHq0XqzXZeuatZo5AT9gvX0CnzORew== Response: S(T,~q) Dark Matter Detection in the Lab

57 • If DM is all around us and interacts with the SM, it might be detectable!

• The most common detection strategy is to look for nuclear recoils.

DM

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 E = E E0 R DM DM Nucleus ~q = p~DM p~DM0 (A,Z)

scintillation, heat, ionization, … DM-Nucleus Kinematics

58 AAAB/XicbVDLSgMxFL1TX7W+xsfOTbAIbqwzKuqy4EZcVbAP6Iwlk6ZtaDIzJJlCHYq/4saFIm79D3f+jWk7C209cLmHc+4lNyeIOVPacb6t3MLi0vJKfrWwtr6xuWVv79RUlEhCqyTikWwEWFHOQlrVTHPaiCXFIuC0HvSvx359QKViUXivhzH1Be6GrMMI1kZq2XuDE4I85CkmTHOdh/T4bNSyi07JmQDNEzcjRchQadlfXjsiiaChJhwr1XSdWPsplpoRTkcFL1E0xqSPu7RpaIgFVX46uX6EDo3SRp1Imgo1mqi/N1IslBqKwEwKrHtq1huL/3nNRHeu/JSFcaJpSKYPdRKOdITGUaA2k5RoPjQEE8nMrYj0sMREm8AKJgR39svzpHZaci9Kzt15sXybxZGHfTiAI3DhEspwAxWoAoFHeIZXeLOerBfr3fqYjuasbGcX/sD6/AG2pZN8 3 • Typical local DM velocity is v/c 10 ⇠ AAAB63icbVBNS8NAEJ3Ur1q/qh69LBbBU0lE1GPBS48VTFtoQ9lsN83S3U3Y3Qgl9C948aCIV/+QN/+NmzYHbX0w8Hhvhpl5YcqZNq777VQ2Nre2d6q7tb39g8Oj+vFJVyeZItQnCU9UP8Saciapb5jhtJ8qikXIaS+c3hd+74kqzRL5aGYpDQSeSBYxgk0hDUnMRvWG23QXQOvEK0kDSnRG9a/hOCGZoNIQjrUeeG5qghwrwwin89ow0zTFZIondGCpxILqIF/cOkcXVhmjKFG2pEEL9fdEjoXWMxHaToFNrFe9QvzPG2QmugtyJtPMUEmWi6KMI5Og4nE0ZooSw2eWYKKYvRWRGCtMjI2nZkPwVl9eJ92rpnfTdB+uG612GUcVzuAcLsGDW2hBGzrgA4EYnuEV3hzhvDjvzseyteKUM6fwB87nDwMujj0=

AAAB9XicbVDLSgMxFL1TX7W+qi7dBIvgqsyIqMuKm66kgn1gOy2ZNG1Dk8yQZJQy9D/cuFDErf/izr8x085CWw8EDufcyz05QcSZNq777eRWVtfWN/Kbha3tnd294v5BQ4exIrROQh6qVoA15UzSumGG01akKBYBp81gfJP6zUeqNAvlvZlE1Bd4KNmAEWys1O1e9x46ApuREsnttFcsuWV3BrRMvIyUIEOtV/zq9EMSCyoN4VjrtudGxk+wMoxwOi10Yk0jTMZ4SNuWSiyo9pNZ6ik6sUofDUJlnzRopv7eSLDQeiICO5km1IteKv7ntWMzuPITJqPYUEnmhwYxRyZEaQWozxQlhk8swUQxmxWREVaYGFtUwZbgLX55mTTOyt5F2b07L1WqWR15OIJjOAUPLqECVahBHQgoeIZXeHOenBfn3fmYj+acbOcQ/sD5/AGQ6JKU AAAB63icbVBNS8NAEJ3Ur1q/qh69LBbBU0lE1GPBS48VTFtoQ9lsN83S3U3Y3Qgl9C948aCIV/+QN/+NmzYHbX0w8Hhvhpl5YcqZNq777VQ2Nre2d6q7tb39g8Oj+vFJVyeZItQnCU9UP8Saciapb5jhtJ8qikXIaS+c3hd+74kqzRL5aGYpDQSeSBYxgk0hDUnMRvWG23QXQOvEK0kDSnRG9a/hOCGZoNIQjrUeeG5qghwrwwin89ow0zTFZIondGCpxILqIF/cOkcXVhmjKFG2pEEL9fdEjoXWMxHaToFNrFe9QvzPG2QmugtyJtPMUEmWi6KMI5Og4nE0ZooSw2eWYKKYvRWRGCtMjI2nZkPwVl9eJ92rpnfTdB+uG612GUcVzuAcLsGDW2hBGzrgA4EYnuEV3hzhvDjvzseyteKUM6fwB87nDwMujj0= A Z N

AAAAB9XicbVDLSgMxFL1TX7W+qi7dBIvgqsyIqMuKm66kgn1gOy2ZNG1Dk8yQZJQy9D/cuFDErf/izr8x085CWw8EDufcyz05QcSZNq777eRWVtfWN/Kbha3tnd294v5BQ4exIrROQh6qVoA15UzSumGG01akKBYBp81gfJP6zUeqNAvlvZlE1Bd4KNmAEWys1O1e9x46ApuREsnttFcsuWV3BrRMvIyUIEOtV/zq9EMSCyoN4VjrtudGxk+wMoxwOi10Yk0jTMZ4SNuWSiyo9pNZ6ik6sUofDUJlnzRopv7eSLDQeiICO5km1IteKv7ntWMzuPITJqPYUEnmhwYxRyZEaQWozxQlhk8swUQxmxWREVaYGFtUwZbgLX55mTTOyt5F2b07L1WqWR15OIJjOAUPLqECVahBHQgoeIZXeHOenBfn3fmYj+acbOcQ/sD5/AGQ6JKU Z N

AAAB7nicbVA9SwNBEJ2LXzF+RS1tFoNgFe5E1DJgY2ERwXxAcoS9zVyyZG/v3N0LhCM/wsZCEVt/j53/xk1yhSY+GHi8N8PMvCARXBvX/XYKa+sbm1vF7dLO7t7+QfnwqKnjVDFssFjEqh1QjYJLbBhuBLYThTQKBLaC0e3Mb41RaR7LRzNJ0I/oQPKQM2qs1OqOkWVP01654lbdOcgq8XJSgRz1Xvmr249ZGqE0TFCtO56bGD+jynAmcFrqphoTykZ0gB1LJY1Q+9n83Ck5s0qfhLGyJQ2Zq78nMhppPYkC2xlRM9TL3kz8z+ukJrzxMy6T1KBki0VhKoiJyex30ucKmRETSyhT3N5K2JAqyoxNqGRD8JZfXiXNi6p3VXUfLiu1+zyOIpzAKZyDB9dQgzuoQwMYjOAZXuHNSZwX5935WLQWnHzmGP7A+fwBq+iP0g==

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 ~q q =2µN v cos ✓ ,µN = mMN /(m + MN )

2 q MN µN ER = . (200 keV) AAAB7XicbVDLSgNBEOz1GeMr6tHLYBA8hV0R9SIEvHiMYB6QLGF2MpuMmZ1ZZnqFEPIPXjwo4tX/8ebfOEn2oIkFDUVVN91dUSqFRd//9lZW19Y3Ngtbxe2d3b390sFhw+rMMF5nWmrTiqjlUiheR4GSt1LDaRJJ3oyGt1O/+cSNFVo94CjlYUL7SsSCUXRS44Z02EB0S2W/4s9AlkmQkzLkqHVLX52eZlnCFTJJrW0HforhmBoUTPJJsZNZnlI2pH3edlTRhNtwPLt2Qk6d0iOxNq4Ukpn6e2JME2tHSeQ6E4oDu+hNxf+8dobxdTgWKs2QKzZfFGeSoCbT10lPGM5QjhyhzAh3K2EDaihDF1DRhRAsvrxMGueV4LLi31+Uq7U8jgIcwwmcQQBXUIU7qEEdGDzCM7zCm6e9F+/d+5i3rnj5zBH8gff5A94RjrY= 2MN 100 GeV 100 GeV DM = ✓ ◆ ⇣ ⌘ DM-Nucleus Interactions

59 • DM-quark interaction → DM-nucleon interaction → DM-nucleus interaction

• In many theories, get DM-nucleon potential of:

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 (3) fn (~x);spin-independent (SI) Vn(~x)= 8 (3) ~ ~ an (~x)(S Sn); spin-dependent (SD) < ·

: AAAAB7HicbVBNSwMxEJ2tX7V+VT16CRbBU9kVUY8VLz1JBbcttmvJptk2NJssSVYoS3+DFw+KePUHefPfmLZ70NYHA4/3ZpiZFyacaeO6305hZXVtfaO4Wdra3tndK+8fNLVMFaE+kVyqdog15UxQ3zDDaTtRFMchp61wdDP1W09UaSbFvRknNIjxQLCIEWys5D9e9x5ue+WKW3VnQMvEy0kFcjR65a9uX5I0psIQjrXueG5iggwrwwink1I31TTBZIQHtGOpwDHVQTY7doJOrNJHkVS2hEEz9fdEhmOtx3FoO2NshnrRm4r/eZ3URFdBxkSSGirIfFGUcmQkmn6O+kxRYvjYEkwUs7ciMsQKE2PzKdkQvMWXl0nzrOpdVN2780qtnsdRhCM4hlPw4BJqUIcG+ECAwTO8wpsjnBfn3fmYtxacfOYQ/sD5/AFKgY5d • For SI scattering, the nuclear cross section on nucleus Z N has the form

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 d A2 µ 2 N = N F (E ) 2 dE v2 µ n | N R | R ✓ n ◆ DM-nucleon Nuclear Response effective cross section Dark Matter Direct Detection (SI)

AAACBnicbVDLSsNAFL3xWesr6lKEwSK4kJKIqMuCC7usYB/QhDCZTtqhM0mYmQgldOXGX3HjQhG3foM7/8Zpm4W2Hhg4nHMud+4JU86Udpxva2l5ZXVtvbRR3tza3tm19/ZbKskkoU2S8ER2QqwoZzFtaqY57aSSYhFy2g6HNxO//UClYkl8r0cp9QXuxyxiBGsjBfaRCHKPDNgYeX1tYgK5jnfmSZHf0tY4sCtO1ZkCLRK3IBUo0AjsL6+XkEzQWBOOleq6Tqr9HEvNCKfjspcpmmIyxH3aNTTGgio/n54xRidG6aEokebFGk3V3xM5FkqNRGiSAuuBmvcm4n9eN9PRtZ+zOM00jclsUZRxpBM06QT1mKRE85EhmEhm/orIAEtMtGmubEpw509eJK3zqntZde4uKrV6UUcJDuEYTsGFK6hBHRrQBAKP8Ayv8GY9WS/Wu/Uxiy5ZxcwB/IH1+QNy6Jh8 60 • Near future searches for WIMP ( m & 10 GeV ) spin-independent DM: • XENONnT: 8.3 tonnes of liquid Xe at Gran Sasso (LNGS) • LZ: 7 tonnes of liquid Xe at Sanford (SURF) • PandaX-4T: 4 tonnes of liquid Xe at Jinping (CJPL) • DarkSide20k: 20 tonnes of liquid Ar at Gran Sasso (LNGS) • And beyond: • DARWIN: 40 tonnes of liquid Xe at (?) • ARGO: 300 tonnes of liquid Ar at SNOLAB (?)

AAACB3icbVBNS8NAEN34WetX1KMgi0XwICURUY8FD/ZYwX5AE8JmO2mX7iZhdyOU0JsX/4oXD4p49S9489+4bXPQ1gcDj/dmmJkXppwp7Tjf1tLyyuraemmjvLm1vbNr7+23VJJJCk2a8ER2QqKAsxiammkOnVQCESGHdji8mfjtB5CKJfG9HqXgC9KPWcQo0UYK7CMR5B4dsDH2OCilmMCu4515UuS30BoHdsWpOlPgReIWpIIKNAL7y+slNBMQa8qJUl3XSbWfE6kZ5TAue5mClNAh6UPX0JgIUH4+/WOMT4zSw1EiTcUaT9XfEzkRSo1EaDoF0QM1703E/7xupqNrP2dxmmmI6WxRlHGsEzwJBfeYBKr5yBBCJTO3YjogklBtoiubENz5lxdJ67zqXladu4tKrV7EUUKH6BidIhddoRqqowZqIooe0TN6RW/Wk/VivVsfs9Ylq5g5QH9gff4ARImY8A== • SuperCDMS, SBC, NEWS-G, SENSEI, … at lower masses ( m . 10 GeV ) Dark Matter Direct Detection

61 • Future projections (Spin-Independent):

neutrino background The Neutrino Floor

62

C 1 D 10 D M A M S 2 l IC i t 10 e (2 ) 012 ( 2 0 CoGeNT 3 1 10 3 (2012) )

CDMS Si 4 pb (2013) 10 5 DAMA SIMPLE (2012) 10 COUPP (2012) CRESST 6 ZEPLIN-III (2012) 10 CDMS II Ge (2009) 7 OH EDELWEISS (2011) 10 C ER Xenon100 (2012) EN 7 T 8 Be N LUX (2013) EU 10 Neutrinos TR TTERIN IN O SCA G 8 9 B Neutrinos 10 nucleon cross section

C 10 OHE 10

R 11 E 10 N ING T TER AT WIMP N O SC UTRIN 12 EU T NE REN 10 COHE T R G I N ERIN 13 O SCATT Atmospheric and DSNB Neutrinos 10 10 14 1 10 100 1000 104 [Billard, Figueroa-Feliciano, Strigari 2 hep-ph/1307.5458] WIMP Mass GeV c Primordial Black Holes as DM

63 • How are they formed?

• What is allowed?

AAACE3icbVDLSsNAFJ34rPUVdelmsAjioiZS1I1Q1EUXChXsA5oQJtNJO3QmCTMToYT8gxt/xY0LRdy6ceffOGm7sK0HLhzOuZd77/FjRqWyrB9jYXFpeWW1sFZc39jc2jZ3dpsySgQmDRyxSLR9JAmjIWkoqhhpx4Ig7jPS8gfXud96JELSKHxQw5i4HPVCGlCMlJY88ziAl9AR/chLHY5UX/C0flXLspNp7eYuyzyzZJWtEeA8sSekBCaoe+a3041wwkmoMENSdmwrVm6KhKKYkazoJJLECA9Qj3Q0DREn0k1HP2XwUCtdGERCV6jgSP07kSIu5ZD7ujO/Uc56ufif10lUcOGmNIwTRUI8XhQkDKoI5gHBLhUEKzbUBGFB9a0Q95FAWOkYizoEe/bledI8Ldtn5cp9pVS9ncRRAPvgABwBG5yDKqiBOmgADJ7AC3gD78az8Wp8GJ/j1gVjMrMHpmB8/QJmsp6R • f = ⇢PBH/⇢DM A Question: the Invisible Moon

64 Suppose we couldn’t “see” the moon with electromagnetic radiation. • e.g. thick, permanent cloud layer, … • How would we deduce its existence? What could we learn about its structure?

? A Question: the Invisible Moon

65 Suppose we couldn’t “see” the moon with electromagnetic radiation. • e.g. thick, permanent cloud layer, … • How would we deduce its existence? What could we learn about its structure? • Assumptions: • we can observe the sun • we understand Newtonian gravity (or General Relativity)

? A Question: the Invisible Moon

66 From the observation of tides, theoretical astronomers propose the • existence of a “Moon” orbiting the Earth with a 28 day period.

• How much more could we say? • mass? ? • distance? • size? microphysics? • (e.g. 50µm black hole? cheese?)

• Are there other observations we could use? Addendum: the Invisible Moon

67 • The IceCube neutrino telescope imaged the moon in neutrinos! They mostly observe atmospheric neutrinos produced by cosmic rays • hitting the atmosphere. • The moon can block some of these cosmic rays creating a “neutrino shadow”.

[IceCube 2013] Gratuitous Cat Pictures

68 Gratuitous Cat Pictures

69 Gratuitous Cat Pictures

70 Gratuitous Cat Pictures

71