Dark Matter and Gauged Baryon Number
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1 Dark Matter and Gauged Baryon Number Sebastian Ohmer Collaborators: Pavel Fileviez Pérez and Hiren H. Patel P. Fileviez Pérez, SO, H. H. Patel, Phys.Lett.B735(2014)[arXiv: ] P.Fileviez Pérez, SO, Phys.Rev.D90(2014) [arxiv: ] SO, H. H. Patel, [arxiv: ] MPIK Heidelberg 12. June 2015
2 Motivation Gauging Baryon and Lepton Number Leptobaryons as Dark Matter Conclusions Sebastian Ohmer (MPIK) 12. June / 21
3 Motivation Motivation Baryon and lepton number classical symmetries in standard model Sebastian Ohmer (MPIK) 12. June / 21
4 Motivation Motivation Baryon and lepton number classical symmetries in standard model Proton lifetime yrs. Sebastian Ohmer (MPIK) 12. June / 21
5 Motivation Motivation Baryon and lepton number classical symmetries in standard model Proton lifetime yrs. Great desert M GUT GeV Sebastian Ohmer (MPIK) 12. June / 21
6 Motivation Motivation Baryon and lepton number classical symmetries in standard model Proton lifetime yrs. Great desert M GUT GeV Low scale unification possible! P.Fileviez Pérez, SO, Phys.Rev.D90(2014) Sebastian Ohmer (MPIK) 12. June / 21
7 Gauging Baryon and Lepton Number Gauging Baryon and Lepton Number Promote global symmetries to local symmetries SU(3) C SU(2) L U(1) Y U(1) B U(1) l P.Fileviez Pérez, M.B.Wise, Phys.Rev.D82(2010) [arxiv: ] Sebastian Ohmer (MPIK) 12. June / 21
8 Gauging Baryon and Lepton Number Gauging Baryon and Lepton Number Promote global symmetries to local symmetries SU(3) C SU(2) L U(1) Y U(1) B U(1) l P.Fileviez Pérez, M.B.Wise, Phys.Rev.D82(2010) [arxiv: ] Theory with right-handed neutrinos not anomaly-free A SM 1 (SU(2) 2 L U(1) B ) = 3/2, A SM 2 (U(1) 2 Y U(1) B ) = 3/2 A SM 3 (SU(2) 2 L U(1) l ) = 3/2, A SM 4 (U(1) 2 Y U(1) l ) = 3/2 Sebastian Ohmer (MPIK) 12. June / 21
9 Gauging Baryon and Lepton Number Gauging Baryon and Lepton Number Promote global symmetries to local symmetries SU(3) C SU(2) L U(1) Y U(1) B U(1) l P.Fileviez Pérez, M.B.Wise, Phys.Rev.D82(2010) [arxiv: ] Theory with right-handed neutrinos not anomaly-free A SM 1 (SU(2) 2 L U(1) B ) = 3/2, A SM 2 (U(1) 2 Y U(1) B ) = 3/2 A SM 3 (SU(2) 2 L U(1) l ) = 3/2, A SM 4 (U(1) 2 Y U(1) l ) = 3/2 Minimal number of new fermionic degrees of freedom: 8 Sebastian Ohmer (MPIK) 12. June / 21
10 Gauging Baryon and Lepton Number Leptobaryons (SU(2) L, U(1) Y, U(1) B, U(1) l ) Leptobaryon model VA M. Duerr, P. Fileviez Pérez, M. B. Wise Phys.Rev.Lett.110(2013) [arxiv: ] Leptobaryon model A P. Fileviez Pérez, SO, H. H. Patel Phys.Lett.B735(2014) [arxiv: ] Ψ L (2, ±1/2, 3/2, 3/2), Ψ R (2, ±1/2, 3/2, 3/2), η L (1, ±1, 3/2, 3/2), η R (1, ±1, 3/2, 3/2), χ L (1, 0, 3/2, 3/2), χ R (1, 0, 3/2, 3/2) Ψ L (2, 1/2, 3/2, 3/2), Ψ R (2, 1/2, 3/2, 3/2), Σ L (3, 0, 3/2, 3/2), χ L (1, 0, 3/2, 3/2) Sebastian Ohmer (MPIK) 12. June / 21
11 Gauging Baryon and Lepton Number Introducing Leptobaryons New fermions with baryon and lepton number are introduced Sebastian Ohmer (MPIK) 12. June / 21
12 Gauging Baryon and Lepton Number Introducing Leptobaryons New fermions with baryon and lepton number are introduced Two new scalars needed to break U(1) B U(1) L S B (1, 0, 3, 3) and S L (1, 0, 0, 2) Sebastian Ohmer (MPIK) 12. June / 21
13 Gauging Baryon and Lepton Number Introducing Leptobaryons New fermions with baryon and lepton number are introduced Two new scalars needed to break U(1) B U(1) L Here, v L v B neglect U(1) L S B (1, 0, 3, 3) and S L (1, 0, 0, 2) Sebastian Ohmer (MPIK) 12. June / 21
14 Gauging Baryon and Lepton Number Stability of the proton Gauging baryon number proton stable breaking U(1) B proton unstable Is the proton unstable after breaking U(1) B? Sebastian Ohmer (MPIK) 12. June / 21
15 Gauging Baryon and Lepton Number Stability of the proton Gauging baryon number proton stable breaking U(1) B proton unstable Only B = ±3 interactions Possible higher order operator that is allowed mediating proton decay c B Λ 15 (QQQL)3 S B Breaking U(1) B at low scales consistent with measured proton lifetime Sebastian Ohmer (MPIK) 12. June / 21
16 Gauging Baryon and Lepton Number Stability of the proton Gauging baryon number proton stable breaking U(1) B proton unstable Only B = ±3 interactions Possible higher order operator that is allowed mediating proton decay c B Λ 15 (QQQL)3 S B Breaking U(1) B at low scales consistent with measured proton lifetime No desert is needed! Sebastian Ohmer (MPIK) 12. June / 21
17 Leptobaryons as Dark Matter Leptobaryons as Dark Matter L = y Ψ Ψ R Ψ L S B y χ χ L χ L S B y Σ TrΣ 2 LS B Sebastian Ohmer (MPIK) 12. June / 21
18 Leptobaryons as Dark Matter Leptobaryons as Dark Matter L = y Ψ Ψ R Ψ L S B y χ χ L χ L S B y Σ TrΣ 2 LS B λ 1 Ψ R Hχ L λ 2 H Ψ L χ L λ 3 H Σ L Ψ L λ 4 Ψ R Σ L H + h.c., Sebastian Ohmer (MPIK) 12. June / 21
19 Leptobaryons as Dark Matter Leptobaryons as Dark Matter Leptobaryon Spectrum L = y Ψ Ψ R Ψ L S B y χ χ L χ L S B y Σ TrΣ 2 LS B λ 1 Ψ R Hχ L λ 2 H Ψ L χ L λ 3 H Σ L Ψ L λ 4 Ψ R Σ L H + h.c., Sebastian Ohmer (MPIK) 12. June / 21
20 Leptobaryons as Dark Matter Leptobaryons as Dark Matter L = y Ψ Ψ R Ψ L S B y χ χ L χ L S B y Σ TrΣ 2 LS B λ 1 Ψ R Hχ L λ 2 H Ψ L χ L λ 3 H Σ L Ψ L λ 4 Ψ R Σ L H + h.c., Breaking U(1) B induces Z 2 symmetry Ψ L Ψ L, Ψ R Ψ R, Σ L Σ L, χ L χ L Sebastian Ohmer (MPIK) 12. June / 21
21 Leptobaryons as Dark Matter Leptobaryons as Dark Matter L = y Ψ Ψ R Ψ L S B y χ χ L χ L S B y Σ TrΣ 2 LS B λ 1 Ψ R Hχ L λ 2 H Ψ L χ L λ 3 H Σ L Ψ L λ 4 Ψ R Σ L H + h.c., Breaking U(1) B induces Z 2 symmetry Ψ L Ψ L, Ψ R Ψ R, Σ L Σ L, χ L χ L Lightest leptobaryon automatically stable Sebastian Ohmer (MPIK) 12. June / 21
22 Leptobaryons as Dark Matter Dark Matter Annihilation Resonant annihilation channels Both velocity suppressed due to Majorana nature of χ Sebastian Ohmer (MPIK) 12. June / 21
23 Leptobaryons as Dark Matter Dark Matter Annihilation Resonant annihilation channels Both velocity suppressed due to Majorana nature of χ Non-resonant annihilation channels Sebastian Ohmer (MPIK) 12. June / 21
24 Leptobaryons as Dark Matter Dark Matter Thermal Abundance DM h resonant non-resonant m Χ GeV Resonant annihilation light dark matter Non-resonant annihilation heavy dark matter SO, H. H. Patel, [arxiv: ] Sebastian Ohmer (MPIK) 12. June / 21
25 Leptobaryons as Dark Matter Non-Resonant Dark Matter Five free parameters: m χ, m ZB, α B, m S, θ Calculate dark matter abundance in limit θ 0 Α m S GeV Z B Sebastian Ohmer (MPIK) 12. June / 21
26 Leptobaryons as Dark Matter Non-Resonant Dark Matter Five free Vacuum parameters: Metastability m χ, m ZB, α B, m S, θ Calculate dark matter abundance in limit θ 0 Leptobaryons destabilize Α vacuum in S B direction 2500 Solve one-loop MS renormalization group equation for the baryonic Higgs quartic self-coupling 2000 Demand self-consistency m S GeV Z B Sebastian Ohmer (MPIK) 12. June / 21
27 Leptobaryons as Dark Matter Non-Resonant Dark Matter Five free parameters: m χ, m ZB, α B, m S, θ Calculate dark matter abundance in limit θ 0 Α m S GeV vacuum metastable Z B Sebastian Ohmer (MPIK) 12. June / 21
28 Leptobaryons as Dark Matter Non-Resonant Dark Matter Direct Detection Bounds on θ Five free parameters: m χ, m ZB, α B, m S, θ Calculate dark matter abundance in limit θ 0 Α m S GeV vacuum metastable Z B Sebastian Ohmer (MPIK) 12. June / 21
29 Leptobaryons as Dark Matter Non-Resonant Dark Matter 2500 Α B m S GeV vacuum metastable m ZB GeV Constrain mixing angle by direct detection experiments Find bound θ 0.09 LHC Higgs signal strength measurements θ 0.35 Sebastian Ohmer (MPIK) 12. June / 21
30 Leptobaryons as Dark Matter Gauged Baryon Number at the LHC Leptobaryons too heavy to produce at LHC m χ m ZB m S Test baryonic symmetry breaking mechanism Search for Z B via dijets resonances Leptophobic absence of dilepton resonances SO, H. H. Patel, [arxiv: ] Sebastian Ohmer (MPIK) 12. June / 21
31 Leptobaryons as Dark Matter Baryonic Higgs Decays WW Α B 0.005, m S 1 TeV, θ 10 3 inherits standard model Higgs decays 0.20 ZZ Br S B ZΓ ΓΓ HH tt DM direct SM Higgs sig Θ SO, H. H. Patel, [arxiv: ] Sebastian Ohmer (MPIK) 12. June / 21
32 Leptobaryons as Dark Matter Baryonic Higgs Decays Br S B WW 0.20 ZZ ZΓ ΓΓ HH Α B 0.005, m S 1 TeV, tt DM direct SM Higgs sig Θ θ 10 3 inherits standard model Higgs decays θ < 10 3 loop mediated decays to electroweak standard model gauge bosons SO, H. H. Patel, [arxiv: ] Sebastian Ohmer (MPIK) 12. June / 21
33 Leptobaryons as Dark Matter Baryonic Higgs Decays Α B 0.005, m S 1 TeV, Br S B WW 0.20 ZZ ZΓ ΓΓ HH tt DM direct SM Higgs sig Θ Interplay of θ 10 3 inherits standard model Higgs decays θ < 10 3 loop mediated decays to electroweak standard model gauge bosons Leptobaryons leave footprint in loops SO, H. H. Patel, [arxiv: ] Sebastian Ohmer (MPIK) 12. June / 21
34 Leptobaryons as Dark Matter Baryonic Higgs Decays Α B 0.005, m S 1 TeV, Br S B WW 0.20 ZZ ZΓ ΓΓ HH tt DM direct SM Higgs sig Θ Interplay of θ 10 3 inherits standard model Higgs decays θ < 10 3 loop mediated decays to electroweak standard model gauge bosons Leptobaryons leave footprint in loops Distinguish models with different fermionic content SO, H. H. Patel, [arxiv: ] Sebastian Ohmer (MPIK) 12. June / 21
35 Leptobaryons as Dark Matter Baryonic Higgs Decays Α B 0.005, m S 1 TeV, Br S B WW 0.20 ZZ ZΓ ΓΓ θ 10 3 inherits Comparing models standard model Higgs decays Branching ratios of S B depends on leptobaryons θ < 10 3 loop Model presented here (leptobaryon model A) HH tt DM direct SM Higgs sig. Model presented by M. Duerr (leptobaryon model VA) Θ Interplay of mediated decays to electroweak standard model gauge bosons Leptobaryons leave footprint in loops Distinguish models with different fermionic content SO, H. H. Patel, [arxiv: ] Sebastian Ohmer (MPIK) 12. June / 21
36 Conclusions Conclusions Standard Model and proton stability as motivation for gauged baryon and lepton number Introduce model with minimal fermionic degrees of freedom and minimal number of multiplets (leptobaryons) Non-resonant dark matter annihilation (m χ m ZB m S ) Bound on mixing angle from direct detection constraints (θ 0.09) Infer leptobaryons via loop decays at LHC Future work: multicomponent dark matter, electroweak baryogenesis and low scale lepton number violation Sebastian Ohmer (MPIK) 12. June / 21
37 Backup Dijet Constraints Sebastian Ohmer (MPIK) 12. June / 21
38 Backup Baryonic Higgs Production Σ Prod fb gg S B VBF Z B S B W ± S B Z S B Α B 0.005, Θ ±0.05, M ZB 1.2 TeV MSTW 2002 LO s 14 TeV m S GeV S B inherits standard model Higgs production channels SO, H. H. Patel, [arxiv: ] Sebastian Ohmer (MPIK) 12. June / 21
39 Backup Baryonic Higgs Production Α B 0.005, m S 1 TeV, M Z 1.2 TeV Σ Prod fb MSTW 2002 LO s 14 TeV Z B S B 0.01 VBF gg S B Z S B W ± S B Θ DM direct SM Higgs sig. For small mixing angles ( θ < 0.02) associated production dominates Loop suppressed contributions take over SO, H. H. Patel, [arxiv: ] Sebastian Ohmer (MPIK) 12. June / 21
40 Backup Baryon Asymmetry with Leptobaryons Baryon Asymmetry with Leptobaryons Baryon asymmetry in the Universe Leptogenesis Leptobaryons carry SU(2) L charge and modify sphalerons Final baryon asymmetry as function of initial B L asymmetry B f = (B L) SM 0.32 (B L) SM B SM f = (B L) SM 0.35 (B L) SM P.Fileviez Pérez, SO, H.H.Patel, Phys.Lett.B735(2014) J.A.Harvey, M.S.Turner, Phys.Rev.D42(1990) Sebastian Ohmer (MPIK) 12. June / 21
41 Backup Low Scale Unfication Low Scale Unification Standard Model as low energy effective theory L c L l L l L H 2 + c B Λ L Λ 2 q L q L q L l L B + c F Λ 2 ( q L γ µ q L )( q L γ µ q L ) +..., F with Λ L < GeV, Λ B > GeV, and Λ F > 10 4 TeV Gauged baryon and lepton number forbid first two operators Is unification of the gauge couplings at Λ GUT 10 4 TeV possible? Sebastian Ohmer (MPIK) 12. June / 21
42 Backup Low Scale Unfication Evolution of Gauge Couplings with Leptobaryons IΑ1 SM M 60-1 Αi HΑ1 L-1-1 IΑ3 SM M -1 HΑ2 L-1 30 IΑ2 SM M HΑ3 L Sebastian Ohmer (MPIK) Log10 HM GeVL June / 21
43 Backup Low Scale Unfication Evolution adding four Generations of Leptobaryons Α 1 SM 1 Αi Α 2 1 Α 2 SM 1 Α 3 SM Α 1 1 Α Log 10 M GeV P.Fileviez Pérez, SO, Phys.Rev.D90(2014) Sebastian Ohmer (MPIK) 12. June / 21
44 Backup Low Scale Unfication Unification Scales n F M U (TeV) k Table: Solutions for unification scale M U with M F = 500 GeV. P.Fileviez Pérez, SO, Phys.Rev.D90(2014) Sebastian Ohmer (MPIK) 12. June / 21
45 Backup Low Scale Unfication Low Scale Unification Αi HΑ LL-1 HΑ2 L-1 HΑ1 L-1 HΑ B L HΑ3 L LGUT~ 10 4 TeV 3 Sebastian Ohmer (MPIK) 4 HΑ B L-1 HM Z L = 25.2 HΑ LL-1 HM Z L = Log10 HM GeVL 7 P.Fileviez Pérez, SO, Phys.Rev.D90(2014) 12. June / 21
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