Sterile neutrinos in the cosmos
Maria Archidiacono University of Milan
NF02 Mini-Workshop, September 25th, 2020 1 dof1 ∆χ dof2 profile ∆χ2 profile 10 10 102 90.0090.00 % % 2 2 5 5 95.0095.00 % % ∆χ ∆χ 99.0099.00 % % 2 2
10 108 8 2 2 6 26 dof2 ∆χ dof contours ∆χ contours Which sterile neutrinos? 4 4
] 10 2 2 2 1 1 10 108 8 1 dof 6 6 1 dof ) ) ) 2 4
4 [eV 2 2 2 ∆χ ∆χ 2 2 41 (eV 2 2 profile (eV profile (eV 0 0 m 41 10 108 8 ∆ • eV2 sterile6 6 neutrinos 1 2 new 2 new 4 4 m m m Δ
∆ 2 ∆ 2 Gallium −1 −1 10 108 8 68.27% CL (1σ) 6 6 4 4 95.45% CL (2σ) 99.73% CL (3 ) 2 2 σ −2 −2 −1 10 10 10 23456782345678 2345678 2345678 2345678 2345678 −3 −3 −2 −2 −1 −1 0 0 Motivation−2 −1 : Cosmology: Hot Dark Matter 5 5 10 10 10 10 1 10 10 10 10 2 2 10 10 10 10 sin 2sin(2!θ (2θ) ) ∆χ2∆χ2 2 sin 2 new14 new sin (2θee) (a) The reactor anomaly [81]. MiniBooNE(b) The gallium anomaly2018 [142].
2 ) 2 ) 2 10
2 10 (eV 2 41 (eV
m MiniBooNE 2 41 Δ
m 90% CL Δ 99% CL 10 10 KARMEN2 90% CL Karmen CCFR OPERA 90% CL Bugey
1 NOMAD 1
− 1 10 10−1 LSND 90% CL LSND 90% CL LSND 99% CL LSND 99% CL
− 2 10 −2 10−3 10−2 10−1 1 10 2 10−3 10−2 10−1 1 sin 2θeμ 2 sin 2θeμ (c) The LSND anomaly [121]. (d) The MiniBooNE anomaly [122].
Figure 12: Best-fit regions of the anomalies. (a) The regions allowed by the reactor anomaly • keV[81]. Thesterile blue and green linesneutrinos enclose the regions allowed at 90% and 95% CL. The red line excludes the region on the right at 99% CL. (b) The lines enclose the regions allowed by the gallium anomaly [142]. (c) The shaded regions are allowed by the LSND anomaly [121]. (d) The lines with the colors indicated in the legend enclose the regions allowed at different CL’s by the MiniBooNE anomaly [122]. Motivation: Cosmology: Warm Dark Matter
gamma is emitted after a mean capture time of14 about 200 µs.Toimprovetheprobabilityfor neutron captures and for better background discrimination,Bulbul the LS+ is sometimes2014 doped with gadolinium (Gd). In this case the gamma energy upon neutron capture is increased to about ) ) 155 -1 8 MeV. Moreover, due to the very high cross section-1 for thermal neutron capture for Gd and 157Gd, the coincidence time is significantly reduced. For typical Gd-concentrations at 0.8 XMM - MOS 3.51 ± 0.03 (0.05) XMM - PN
3.57 ± 0.02 (0.03) keV keV 1.2 Full Sample -1 27-1 Full Sample 0.7 6 Ms 2 Ms 1 0.6 Flux (cnts s Flux (cnts s 0.8 0.015 0.04
0.01 0.02 0.005 0 0 Residuals Residuals -0.005 -0.02 Kuhlen+ 2012 3 3.2 3.4 3.6 3.8 4 3 3.2 3.4 3.6 3.8 4 Energy (keV) Energy (keV) 2 ) ) -1 -1 XMM - MOS XMM - MOS Centaurus+
keV Rest of the Sample keV 3.57 keV 3.57 keV -1 -1 Coma + (69 Clusters) Ophiuchus 4.9 Ms 525.3 ks 0.25 Flux (cnts s Flux (cnts s 0.01
0.005
0 Residuals Residuals -0.005
3 3.2 3.4 3.6 3.8 4 Energy (keV) ) -1 0.75 XMM - PN 3.57 keV Rest of the Sample keV
-1 (69 Clusters) 1.8 Ms
0.5 Flux (cnts s
0.02
0 Residuals
-0.02 3 3.2 3.4 3.6 3.8 4 Energy (keV) Figure 6. 3 4keVbandoftherebinnedXMM-Newton spectra of the detections.The spectra were rebinned to make the excess at 3.57 keV more apparent. (APJ VERSION INCLUDES ONLY THE REBINNED MOS SPECTRUM OF THE FULL SAMPLE).⇠
nax dwarf galaxies (Boyarsky et al. 2010; Watson et al. at a 1 level. Since the most confident measurements 2012), as showin in Figure 13(a). It is in marginal ( 90% are provided by the highest signal-to-noise ratio stacked significance) tension with the most recent Chandra⇠limit MOS observations of the full sample, we will use the flux from M31 (Horiuchi et al. 2014), as shown in Figure at energy 3.57 keV when comparing the mixing angle 13(b). measurements for the sterile neutrino interpretation of For the PN flux for the line fixed at the best-fit MOS this line. energy, the corresponding mixing angle is sin2(2✓)= +1.2 +1.8 11 4.3 1.0 ( 1.7) 10 . This measurement is consistent with that obtained⇥ from the stacked MOS observations 3.2. Excluding Bright Nearby Clusters from the Sample eV sterile neutrinos Status 7 4 4/3 Gariazzo+ (2019) ⇢ = ⇢ 1+ N rad 8 11 e↵ " ✓ ◆ # Ne↵ = N⌫ + Ne↵ Ne↵ =3.045 + Ne↵ Allowed by Planck CMB Planck 2018 TTTEEE + lowE +0.36 Neff = 2.92 -0.37 (95%cl)
Light sterile neutrino problem
Oscillation Theoretical Cosmological experiments efforts observations (LOI: NuSte: Global Light Sterile BSM physics Neutrino fits; Gariazzo+) 3 Theoretical efforts BSM physics
LOI: Sterile Neutrinos with Non-Standard Interactions; Archidiacono, Hannestad+ Early Universe Late Universe 1 -1 0.9 Archidiacono+ 2014 ns ns èf 4 0.8 -1 -1 ns ns èf ns ns èf 10
0.7 ] 3 0.6 1000 eff 0.5 N d 0.4 Pseudoscalar P(k) [(Mpc/h) 0.3 100 best-fit Planck 2015 mν,s =0.1eV 0.2 mν,s =1eV 0.1 mν,s =3eV 10 0 −6 −5 10 10 0.001 0.01 0.1 1 g s k [h/Mpc]
4 Theoretical efforts BSM physics
LOI: Sterile Neutrinos with Non-Standard Interactions; Archidiacono, Hannestad+ Early Universe Late Universe 1 -1 0.9 Archidiacono+ 2014 ns ns èf 4 0.8 -1 -1 ns ns èf ns ns èf 10
0.7 ] 3 0.6 1000 eff 0.5 N d 0.4 Pseudoscalar P(k) [(Mpc/h) 0.3 100 best-fit Planck 2015 mν,s =0.1eV 0.2 mν,s =1eV 0.1 mν,s =3eV 10 0 −6 −5 10 10 0.001 0.01 0.1 1 g s k [h/Mpc] Future directions Cosmology Astrophysics Particle Physics
d u d u dR(L) uR(L)
GF eL ✏ eR F WR(L) (✓ ) ⌫ eR g N J J ⌫ ⌫ N H h i ⌫ ⇥ eL GF eL GF eL d u d 5 u d u
FIG. 1. Feynman diagrams for ordinary 0⌫ J Majoron decay (left), 0⌫ decay triggered by
3 an e↵ective operator of the form ⇤ (¯u d)(¯e ⌫) (center) and possible ultraviolet completion NP O O of the latter in a Left-Right symmetric model (right).
II. EFFECTIVE LONG-RANGE INTERACTIONS
We are interested in processes where right- and left-handed electrons are emitted along with a scalar considering as a first approach, only (V + A)and(V A)currents.The e↵ective Lagrangian can then be written as