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Pseudoscalar Portal to Dark Matter: Beyond Simplified Models Jose Miguel No King's College London J.M.N. PRD 93 (RC) 031701 (1509.01110) D. Goncalves, P. Machado, J.M.N. 1611.04593 M. Fairbairn, J.M.N., P. Tunney, 1704.xxxxx University College London 24/03/17

A Dark Matter Motivational Slide Abundant & Robust Evidence of Dark Matter! Galaxy Rotation Curves Gravitational Lensing CMB Bullet Cluster 1

A Dark Matter Motivational Slide Abundant & Robust Evidence of Dark Matter! t? i s i t a Wh... a e d i No 1

A Dark Matter Motivational Slide Abundant & Robust Evidence of Dark Matter! Traditional DM Poster Child: The WIMP (Weakly Interacting Massive Particle) Thermal Relic 1

A Dark Matter Motivational Slide Abundant & Robust Evidence of Dark Matter! Traditional DM Poster Child: The WIMP (Weakly Interacting Massive Particle) Thermal Relic DM Annihilation DM Direct Detection Probes of WIMP DM Interactions with the SM DM Scattering Relic Density (Early Universe) Indirect Detection (Now) SM? DM SM Colliders (LHC) DM Production 1

A Dark Matter Motivational Slide Abundant & Robust Evidence of Dark Matter! Traditional DM Poster Child: The WIMP (Weakly Interacting Massive Particle) Thermal Relic DM Annihilation Dark Matter Complementarity DM Direct Detection Probes of WIMP DM Interactions with the SM DM Scattering Relic Density (Early Universe) Indirect Detection (Now) SM? DM SM Colliders (LHC) DM Production 1

Dark Matter Complementarity for the WIMP Landscape Courtesy of Tim Tait 2

Dark Matter Complementarity for the WIMP Landscape Courtesy of Tim Tait (as much as possible!) Model independent approach(es) to DM searches EFT Add Only DM as new particle simple! Interactions between DM & SM via non-renormalizable operators Valid when M E * Relevant (experimental) Energy Scale Effective Scale of New Physics Connecting DM & SM 2

Dark Matter Complementarity for the WIMP Landscape EFT Consider DM in a HIDDEN SECTOR Singlet under SM Gauge Interactions De Simone, Jacques, Eur. Phys. J. C76 (2016) 7, 367 3

Dark Matter Complementarity for the WIMP Landscape EFT Consider DM in a HIDDEN SECTOR Singlet under SM Gauge Interactions Valid when M E * DM Direct Detection DM LHC Searches E MeV E TeV De Simone, Jacques, Eur. Phys. J. C76 (2016) 7, 367 EFT fails when DM SM Mediator Accessible Busoni, De Simone, Morgante, Riotto, Phys. Lett. B728 (2014) 412 Buchmueller, Dolan, McCabe, JHEP 01 (2014) 025 3

Dark Matter Complementarity for the WIMP Landscape Consider DM in a HIDDEN SECTOR Singlet under SM Gauge Interactions Solution : Open up effective interaction Add DM & Mediator as new particles De Simone, Jacques, Eur. Phys. J. C76 (2016) 7, 367 EFT fails when DM SM Mediator Accessible Busoni, De Simone, Morgante, Riotto, Phys. Lett. B728 (2014) 412 Buchmueller, Dolan, McCabe, JHEP 01 (2014) 025 it! d d a Let's 3

Rationale of Simplified Models for Dark Matter Phenomenology Increase complexity 4

Rationale of Simplified Models for Dark Matter Phenomenology Increase complexity Dark Matter Pheno. Models Simple enough as sensible unit within (more) complicated model Complete enough to accurately capture relevant physics 4

Simplified Models for DM Searches I focus on Dirac Fermion DM + Spin - 0 Mediator Shoemaker, Vecchi, Phys. Rev. D86 (2012) 015023 Frandsen, Kahlhoefer, Preston, Sarkar, Schmidt-Hoberg, JHEP1207 (2012) 123 Buckley, Feld, Goncalves, Phys. Rev. D91 (2015) 015017 Vector/Axial-Vector Mediator Scalar Mediator Pseudoscalar Mediator Models defined after EWSB 5

Simplified Models for DM Searches Scalar Mediator The Issue is Pseudoscalar Mediator Gauge Invariance 6

Simplified Models for DM Searches Scalar Mediator The Issue is Pseudoscalar Mediator Gauge Invariance DM is SM Gauge Singlet Mediator Needs charge to couple to SM fermions Scalar Case: Restoring Gauge Invariance is Direct S mixes with SM Higgs boson SM Higgs Boson is also a Mediator! (two mediators) Kahlhoefer, Schmidt-Hoberg, Schwetz, Vogl, JHEP1602 (2016) 016 Bell, Busoni, Sanderson, JCAP1703 (2017) 015 6

Simplified Models for DM Searches Scalar Mediator The Issue is Pseudoscalar Mediator Gauge Invariance Need two-mediator interplay for correct DM Direct Detection bounds Bell, Busoni, Sanderson, JCAP1703 (2017) 015 6

Simplified Models for DM Searches Pseudoscalar Case DM Direct Detection signatures strongly suppressed w.r.t. Scalar Case yields Spin-Dependent DM-Nucleon cross section @ Tree-level yields Spin-Independent DM-Nucleon cross section @ One-loop LHC Searches are Key for Pseudoscalar Scenario Restoring Gauge Invariance is Not (as) Direct No pseudoscalar in SM for a to mix with. Mixing requires Higgs sector with two Doublets (2HDM) Nomura, Thaler, Phys. Rev D79 (2009) 075008 2HDM + a ( + DM ) (New Scalars) Ipek, McKeen, Nelson, Phys. Rev D90 (2014) 055021 JMN, Phys. Rev D93 (2016) 031701 Goncalves, Machado, JMN, ArXiv:1611.04593 7

Simplified Models for DM Searches Pseudoscalar Case DM Direct Detection signatures strongly suppressed w.r.t. Scalar Case yields Spin-Dependent DM-Nucleon cross section @ Tree-level yields Spin-Independent DM-Nucleon cross section @ One-loop LHC Searches are Key for Pseudoscalar Scenario Restoring Gauge Invariance is Not (as) Direct No pseudoscalar in SM for a to mix with. Mixing requires Higgs sector with two Doublets (2HDM) N ew Nomura, Thaler, Phys. Rev D79 (2009) 075008 2HDM + a ( + DM ) (New Scalars) Ipek, McKeen, Nelson, Phys. Rev D90 (2014) 055021 St at es JMN, Phys. Rev D93 (2016) 031701 Goncalves, Machado, JMN, ArXiv:1611.04593 2HDM ( + DM ) Berlin, Gori, Lin, Wang, Phys. Rev D92 (2015) 015005 (New Scalars) Rich (er) DM Sector (+ DM feels SM Gauge Interactions) SU(2) doublet (s) 7

Simplified Models for DM Searches question Complete enough to accurately describe DM phenomenology? 8

Simplified Models for DM Searches question Can the New States be pushed beyond LHC reach? 8

Simplified Models for DM Searches question Can the New States be pushed beyond LHC reach? Generally... 8

Simplified Models for DM Searches question Can the New States Mixing between a be pushed beyond LHC reach? and Scalar EW Multiplet New States (Mediator EW Partners) New States Only Decouple by Closing DM Portal: 8

2HDM + a Portal to Dark Matter Visible Sector Dark Sector Portal 125 GeV Higgs Assume Natural Flavour Conservation in 9

2HDM + a Portal to Dark Matter Visible Sector Dark Sector Portal Mixing Physical States 9

2HDM + a Portal to Dark Matter Allowed Mass range for New States Mass Splittings among bounded by 2HDM Unitarity Ginzburg, Ivanov, Phys. Rev D72 (2005) 115010 Mass Splittings also bounded by Unitarity ( if is kept fixed) a a Goncalves, Machado, JMN, ArXiv:1611.04593 W h Pert. Unitarity W Λ 8 10

2HDM + a Portal to Dark Matter LHC Signatures JMN, Phys. Rev D93 (2016) 031701 Goncalves, Machado, JMN, ArXiv:1611.04593 Bauer, Haisch, Kahlhoefer, ArXiv:1701.07427 h (Resonant) mono-h / mono-z 0 (mono-w) ( Assume a Decays invisibly) mono-z A B C 300 GeV 500 GeV 700 GeV ma = 80 GeV m = 30 GeV χ 11

2HDM + a Portal to Dark Matter Compare to 5% @ LHC XS for signal scales as tanβ -2 Mono-Z significantly more sensitive than mono-jet (w. syst) 12

Summary & Thoughts Dark Matter Strong Case to go beyond traditional simplified models for Dark Matter searches @ LHC Simple Argument DM from EW Multiplet Mediator from EW Multiplet DM Phenomenology neglecting rest of Multiplet misses relevant physics Neglecting States in Mediator Multiplet Misses Relevant DM Physics Pseudoscalar Mediator scenario: New LHC signatures Resonant mono-z 2HDM + a ( + DM ) Resonant mono-h LHC could probe DM interpretation of Galactic Center gamma ray excess In general, identifying minimal consistent model unit for Dark Matter phenomenology in each scenario is important 13

Dark Matter 14