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What is Dark Matter?
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
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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 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
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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 •
AAACY3icdVHva9QwGE47nfOmrpt+EyF6KDd21LZXdwdyMNSBCMKE3Ta4XEuaS3fhmrZLUuEM7R/pN7/5xf/D3A9BRR94ycPzvC/J+yQpMyaV532z7K1bt7fv7Nxt7d67/2DP2T+4kEUlCB2RIivEVYIlzVhOR4qpjF6VgmKeZPQymb9d+pefqZCsyM/VoqQTjq9zljKClZFi50seayQ4fPexjjS9qeGLBknGG4hYrtBTlApM9DTqlbXuBKhkh1GvRt217NeaRvr05XkNES+hbw7YbZqmcwqHEMkboTSPgqMyCuoueo1mCRZDMpzHb4b+IUKt2Gl7rnfc73s96LmvwkEvCA0ZhL7h0He9Fdpgg7PY+YqmBak4zRXJsJRj3yvVRGOhGMlo3UKVpCUmc3xNx4bmmFM50auMavjcKFOYFsJUruBK/X1CYy7lgiemk2M1k397S/Ff3rhS6WCiWV5WiuZkfVFaZVAVcBk4nDJBicoWhmAimHkrJDNs8lPmW5Yh/NoU/p9cBK5/7IafwvbJh00cO+AxeAY6wAd9cALegzMwAgR8t7atPcuxfti79oH9aN1qW5uZh+AP2E9+Aq/ltLI= 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 : • AAACH3icdVDLSgMxFM34tr6qLt0Ei+BChozWthtB0IUboYpVoVOGO2lag0lmSDJCGfonbvwVNy4UEXf+jelDUNEDgcM553JzT5wKbiwhH97E5NT0zOzcfGFhcWl5pbi6dmmSTFPWoIlI9HUMhgmuWMNyK9h1qhnIWLCr+PZo4F/dMW14oi5sL2UtCV3FO5yCdVJUrJxHOSjVxwc4FKC6goWGdyWM1LtQj7QdFeWhlvj4tI9dQEbFEvFJpVole5j4++Xa3m7ZkVo5cBwHPhmihMaoR8X3sJ3QTDJlqQBjmgFJbSsHbTkVrF8IM8NSoLfQZU1HFUhmWvnwvj7eckobdxLtnrJ4qH6fyEEa05OxS0qwN+a3NxD/8pqZ7dRaOVdpZpmio0WdTGCb4EFZuM01o1b0HAGqufsrpjeggVpXacGV8HUp/p9c7vpBxSdn5dJhfVzHHNpAm2gbBaiKDtEJqqMGougePaJn9OI9eE/eq/c2ik5445l19APexycCW6Ol
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 ⌧
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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