FERMION PORTAL DARK MATTER
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1 FERMION PORTAL DARK MATTER Joshua Berger SLAC UC Davis Theory Seminar! w/ Yang Bai: , March 10,
2 A HOLE IN THE SM Van Albada et. al. Chandra + Hubble What else can we learn about Dark Matter? Planck Collaboration 2
3 THE SEARCH IS ON SM DM SM DM Direct detection SuperCDMS LUX Collaboration 3
4 THE SEARCH IS ON SM Indirect detection DM SM DM AMS-02 Collaboration 4
5 THE SEARCH IS ON SM DM SM Collider DM ATLAS Collaboration 5
6 WHAT S IN THE BLOB? Indirect detection SM DM SM sparticle φ? DM Direct detection Irrelevant operator?! Mediators from UV?! Somewhere in between! Collider 6
7 WAIT, WHY NOT EFT? monojet 1 p 2 T, M p T p 2 T M 4, M p T Behavior changes for light mediator! Busoni, De Simone, Morgante, Riotto Collision energy Mediator mass 7
8 Neutrino portal: L L H χ R 8 A SIMPLIFIED FRAMEWORK Aim for minimal UV bias! Renormalizable interactions with SM, aka Portal! Portals of old:! Higgs portal: (H H)(φ*φ)" Gauge portal: F μν F μν!
9 THE FERMION PORTAL Two categories:! Part 1 - Quark portal: q χ φ" Part 2 - Lepton portal: l χ φ See also:! Chang, Edezhath, Hutchinson, Luty, ! An, Wang, Zhang, ! DiFranzo, Nagao, Rajaraman, Tait,
10 QUARK PORTAL 10
11 FOUR CASES Depending on Lorentz representation of DM! Dirac fermion DM (Scalar mediator)! ~ limit of MSSM Majorana fermion DM (Scalar mediator)! Complex scalar DM (Fermionic mediator)! Real scalar DM (Fermionic mediator) 11
12 THE INTERACTIONS Fermionic DM: L = λ i q i χ φ i + h.c.! χ: DM, φ i : Scalar triplet mediator! Scalar DM: L = λ i q i ψ i X + h.c.! X: DM, ψ i : Fermionic triplet mediator! One flavor at a time: DM exp t constraints only 12
13 CONSTRAINTS OVERVIEW Direct detection! Dirac & Complex: Spin independent! Majorana: Spin dependent! Collider! Constraints from both Jets + MET and Monojets! Abundance via WIMP miracle 13
14 FERMION PORTAL AS WIMP For weak-scale mediator, DM can be thermal relic! <σv> = s + p v 2! Dirac DM: s-wave annihilation allowed! Majorana, Complex DM: p-wave suppression 14
15 THERMAL ABUNDANCE Dirac fermion dark matter 2000 Majorana fermion dark matter mχ GeV mχ GeV Λ u from left to right: 0.5 Λ u 0.5, 0.75, 1.0, m Φ GeV m Φ GeV Ωχh 2 = ±
16 COLLIDER PRODUCTION g u u φ u χ u χ 100 LHC 8 TeV m Χ 10 GeV u χ 80 u φ u g χ Σ pp ΦΦ fb m Φ 400 GeV ū 20 m Φ 500 GeV m Φ 600 GeV g g φ u φ u χ χ Λ u u 16
17 EVENT SHAPE g u u χ u φ u χ φ u χ u χ u g Fraction of Events m Χ 10 GeV, m Φ 400 GeV m Χ 10 GeV, m Φ 700 GeV m Χ 10 GeV, m Φ 1000 GeV Fraction of Events m Χ 10 GeV, m Φ 400 GeV m Χ 10 GeV, m Φ 700 GeV m Χ 10 GeV, m Φ 1000 GeV E T miss GeV E T miss GeV 17
18 DIRAC DM LIMITS need low mass monojets win near degeneracy Σ cm Jets MET Monojet Xenon10 Thermal relic Xenon100 mχ GeV Monojet Jets MET Thermal relic Λ 1 SI Λ 1, SI Xenon m Χ GeV m Φ GeV direct detection extremely powerful 18
19 MAJORANA DM LIMITS Scattering off proton coannihilation Σ cm Monojet m Φ 100 GeV Jets MET Thermal relic Λ 1, SD, p PICASSO SIMPLE COUPP mχ GeV COUPP Thermal relic Jets MET Monojet Λ 1 SD, p m Χ GeV m Φ GeV DD resonant enhancement near degeneracy 19
20 MAJORANA DM LIMITS Scattering off neutron Σ cm Monojet m Φ 100 GeV Jets MET Thermal relic Λ 1, SD, n CDMS X100 mχ GeV Monojet Xenon100 Thermal relic Λ 1 SD, n Jets MET m Χ GeV scattering off neutrons wins m Φ GeV
21 COMPLEX DM LIMITS Σ cm Jets MET Monojet Xenon10 Thermal relic mx GeV Jets MET Thermal relic Monojet Λ 1 SI Xenon m X GeV Λ 1, SI 0 Xenon m Ψ GeV thermal relic for smaller masses (p-wave suppression) 21
22 QUARK PORTAL WRAP UP Quark portal provides a simple framework for DM phenomenology studies! Parameter space being complementarily probed by both collider searches & DD! Specific kinematic features may help at colliders 22
23 LEPTON PORTAL 23
24 SOME NEW CASES Consider coupling to each generation in turn! Now: strong, but different constraints on all! Assume flavor diagonal couplings 24
25 SOME NEW CONSTRAINTS DD from loop-generated photon coupling! Collider from dilepton + MET! ID from high energy positrons! (g-2)μ contraint (or explanation?) 25
26 REMINDER: THERMAL RELIC PARAMETER SPACE Story is the same as for quark portal! Dirac DM: s-wave annihilations! Majorana, Complex DM: p-wave annihilations 26
27 1 LOOP. Dim 5:! Breaks chiral sym.! Dim 6:! q q Several operators 27
28 THE OPERATORS Dirac O1 = [ µ O2 = [i (1 µ (1 5 ) + h.c.]fµ 5 ) + h.c.]f µ Agrawal, Blanchet, Chacko, Kilic C,P even: charge radius, magnetic dipole; C,P odd: anapole Majorana µ 5 O1 = [ + h.c.]fµ Only anapole allowed Complex O= µx XF µ Only charge radius allowed 28
29 FERMION CASE c 1 = 2 e 64 2 m log m2 e m 2, c 2 = 2 e m 2 XN = c 2 1e 2 Z 2 µ2 XN A 2 c1 c2 from log enhancement! Majorana case: only v-suppressed anapolecharge coupling 29
30 SCALAR CASE C = 2 e 64 2 m log m2 e m 2 XN = C 2 e 2 Z 2 µ2 XN A 2 Unsuppressed charge radius-charge coupling 30
31 COLLIDER CONSTRAINTS Σ p p ΦΦ or ΨΨ fb Φ 8 TeV Φ 14 TeV Ψ 8 TeV Ψ 14 TeV Σ fb 10 GeV Μ Μ 14 TeV m Χ 10 GeV, m Φ 400 GeV diboson background fitted M T2 tail m Φ or m Ψ GeV M T2 GeV F (M T 2 )= N 0 [ M 2 T 2 M 2 W ]2 + 2 M 4 T 2 2 W /M 2 W 31
32 CURRENT LIMITS 32
33 POSITRON AMS Parametrize the transfer function to go from injection spectrum to flux! Three different sets of standard astrophysical assumptions! Compare bin-by-bin to total positron flux and excluded if there is a 2σ excess in any bin 33
34 AMS-02 LIMITS Dirac fermion dark matter m c 50 GeV, m f = 100 GeV, l e = Dirac fermion dark matter m c 50 GeV, m f = 100 GeV, l m = 1 Positron fraction Positron fraction E e HGeVL E e HGeVL 34
35 INDIRECT DETECTION ELECTRON PORTAL Dirac fermion dark matter Λ e Complex scalar dark matter Λ e mχ GeV 150 mx GeV m Φ GeV m Ψ GeV 35
36 INDIRECT DETECTION MUON PORTAL Dirac fermion dark matter Λ Μ Complex scalar dark matter Λ Μ mχ GeV 150 mχ GeV m Φ GeV m Φ GeV 36
37 MUON g a Μ Λ Μ 1 a Μ Λ Μ mχ GeV 200 mx GeV m Φ GeV m Ψ GeV Dirac DM Complex Scalar DM 37
38 COMBINED FERMION RESULTS mχ GeV Dirac AMS2 Μ AMS2 e Λ fb 1 14 TeV LHC Μ LUX thermal e WIMP nucleon Σ cm Dirac Thermal AMS2 Μ 100 fb 1 14 TeV LHC 20 fb 1 8 TeV LHC Λ 1 LUX m Φ GeV m Χ GeV 38
39 COMBINED SCALAR RESULTS mx GeV Complex Scalar Λ 1 thermal LUX m Ψ GeV 100 fb 1 14 TeV LHC muon electron WIMP nucleon Σ cm Complex Scalar Thermal 100 fb 1 14 TeV LHC muon m X GeV LUX Λ 1 39
40 LEPTON PORTAL WRAP UP Lepton portal models have a rich array of signatures, with parameter space waiting to be explored! All three methods of DM search (+ g-2) provide important constraints 40
41 CONCLUSIONS 41
42 STATUS REPORT Effective theories may not be sufficient to make predictions for all DM searches! The fermion portal framework is one possible simple alternative! It exhibits complementarity between various searches for both quark and lepton couplings 42
43 FUTURE PROGRESS More complete study of collider constraints! Distinctive features in interaction spectra! From experiment: More data from LUX, AMS-02 = pulsars?, new g-2, LHC13+, ILC? 43
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