Neutrino Masses and Dark Matter in Gauge Theories for Baryon and Lepton Numbers

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1 Neutrino Masses and Dark Matter in Gauge Theories for Baryon and Lepton Numbers DPG Frühjahrstagung 014 in Mainz Based on Phys. Rev. Lett. 110, (013), Phys. Rev. D 88, (R) (013), arxiv: [hep-ph], accepted in Phys. Lett. B. With P. Fileviez Pérez (MPIK), M. Lindner (MPIK), M. B. Wise (Caltech). Michael Duerr Max-Planck-Institut für Kernphysik, Heidelberg

2 Motivation: B and L broken? B and L accidental global symmetries in the SM. Violation of B: Baryon asymmetry of the Universe: B. Viren, arxiv:hep-ex/ (n B n B )/n γ Proton decay (ΔB = 1, ΔL = odd): γ γ π 0 P + e τ p yrs. Violation of L: ν oscillation experiments: ΔL e = 0, ΔL μ = 0, ΔL τ = 0. Total lepton number could be conserved (test with 0νββ). dl dl L e L e L L Michael Duerr (MPIK Heidelberg) Gauge theories for B and L DPG Mainz, 4 March 014

3 The Big Desert S. Weinberg, Phys. Rev. Lett. 49 (1979) 1566 c 5 Λ L LLHH Wikipedia c 6 Λ B QQQL Low scale Electroweak scale (Λ EW 10 GeV) Wikipedia High scale e.g. GUT scale (Λ GUT GeV) Michael Duerr (MPIK Heidelberg) Gauge theories for B and L DPG Mainz, 4 March 014 3

4 The Big Desert S. Weinberg, Phys. Rev. Lett. 49 (1979) 1566 c5 ΛL c5 LLHH ΛL c6 ΛB Wikipedia Low scale Electroweak scale (ΛEW 10 GeV) Michael Duerr (MPIK Heidelberg) Wikipedia Gauge theories for B and L LLHH QQQL High scale e.g. GUT scale (ΛGUT 1015 GeV) DPG Mainz, 4 March 014 3

5 Aim of This Talk Define a consistent gauge theory for baryon and lepton numbers that can be broken at a low scale. Michael Duerr (MPIK Heidelberg) Gauge theories for B and L DPG Mainz, 4 March 014 4

6 Aim of This Talk Define a consistent gauge theory for baryon and lepton numbers that can be broken at a low scale. Neutrino masses Dark matter (Baryon asymmetry) (Signals at the LHC) Michael Duerr (MPIK Heidelberg) Gauge theories for B and L DPG Mainz, 4 March 014 4

7 Baryonic and Leptonic Anomalies New gauge group: SU(3) C SU() L U(1) Y U(1) B U(1) L Purely baryonic anomalies: A 1 SU(3) U(1) B, A SU() U(1) B, A3 U(1) Y U(1) B, A 4 U(1)Y U(1) B, A5 (U(1) B ), A 6 U(1) 3 B. Field SU(3)C SU()L U(1)Y U(1)B U(1)L QL R dr ll νr er H Purely leptonic anomalies: A 7 SU(3) U(1) L, A8 SU() U(1) L, A9 U(1) Y U(1) L, A 10 U(1)Y U(1) L, A11 (U(1) L ), A 1 U(1) 3 L. Mixed anomalies: A 13 U(1) B U(1) L, A14 U(1) L U(1) B, A 15 (U(1) Y U(1) L U(1) B ). Michael Duerr (MPIK Heidelberg) Gauge theories for B and L DPG Mainz, 4 March 014 5

8 Baryonic and Leptonic Anomalies New gauge group: Field SU(3)C SU()L U(1)Y U(1)B U(1)L SU(3) C SU() L U(1) Y U(1) B U(1) L Purely baryonic anomalies: A 1 SU(3) U(1) B, A SU() U(1) B, A3 U(1) Y U(1) B, A 4 U(1)Y U(1) B, A5 (U(1) B ), A 6 U(1) 3 B. Purely leptonic anomalies: A 7 SU(3) U(1) L, A8 SU() U(1) L, A9 U(1) Y U(1) L, A 10 U(1)Y U(1) L, A11 (U(1) L ), A 1 U(1) 3 L. Mixed anomalies: A 13 U(1) B U(1) L, A14 U(1) L U(1) B, A 15 (U(1) Y U(1) L U(1) B ). QL 3 R 3 1 dr ll νr er H 1 SM + righthanded ν A = A 3 = 3, A 8 = A 9 = 3 Michael Duerr (MPIK Heidelberg) Gauge theories for B and L DPG Mainz, 4 March 014 5

9 Possible Solutions Sequential/Mirror family: P. Fileviez Pérez, M. B. Wise, arxiv: [hep-ph] Ruled out: new quarks change gluon fusion production; Landau poles of the new Yukawas near the weak scale. Vector-like fermions: P. Fileviez Pérez, M. B. Wise, arxiv: [hep-ph] Ruled out: new charged leptons reduce BR of H γγ by a factor of 3. One family of leptoquarks: P. V. Dong, H. N. Long, arxiv: [hep-ph] F L (3,, 0, 1, 1), j R (3, 1, 1, 1, 1), k R (3, 1, 1, 1, 1). Ruled out: stable charged fields. Michael Duerr (MPIK Heidelberg) Gauge theories for B and L DPG Mainz, 4 March 014 6

10 New Solution: Vector-Like Leptoquarks Field SU(3) C SU() L U(1) Y U(1) B U(1) L Ψ L Ψ R η R η L χ R χ L M. Duerr, P. Fileviez Pérez, M. B. Wise, arxiv: [hep-ph] (PRL) Michael Duerr (MPIK Heidelberg) Gauge theories for B and L DPG Mainz, 4 March 014 7

11 Vector-Like Leptoquarks: Interactions Responsible for the new fermion masses: L h 1 Ψ L Hη R + h Ψ L Hχ R + h 3 Ψ R Hη L + h 4 Ψ R Hχ L + λ 1 Ψ L Ψ R S BL + λ η R η L S BL + λ 3 χ R χ L S BL + 1 χ L χ L S BL + χ R χ R S BL + h.c. with S BL (1, 1, 0, 3, 3) Neutrino masses: L ν = Y ν l L Hν R + λ R ν Rν R S L + h.c. with S L (1, 1, 0, 0, ) Michael Duerr (MPIK Heidelberg) Gauge theories for B and L DPG Mainz, 4 March 014 8

12 Vector-Like Leptoquarks: Further Aspects Symmetry breaking: S BL breaks U(1) B and U(1) L (ΔB = ±3, ΔL = ±3), S L contributes to breaking of U(1) L (ΔL = ±). Fermionic sector: no proton decay 4 neutral and 4 charged new chiral fermions after symmetry breaking. No coupling to the SM fermions no new source of flavor violation. Lightest new fermion automatically stable DM candidate. Michael Duerr (MPIK Heidelberg) Gauge theories for B and L DPG Mainz, 4 March 014 9

13 Simple Example: Baryon Number Only Gauge group: G SM U(1) B Additional fields for an anomaly-free theory: Ψ L (1,, 1/, B 1 ), Ψ R (1,, 1/, B ), η R (1, 1, 1, B 1 ), η L (1, 1, 1, B ), χ R (1, 1, 0, B 1 ), χ L (1, 1, 0, B ), New Higgs for spontaneous breaking of baryon number: S B (1, 1, 0, 3) Condition from anomaly cancellation: B 1 B = 3. M. Duerr, P. Fileviez Pérez, arxiv: [hep-ph] Michael Duerr (MPIK Heidelberg) Gauge theories for B and L DPG Mainz, 4 March

14 Spontaneous Symmetry Breaking Relevant interactions of the new fields (for B 1 = B ): L λ 1 Ψ L Ψ R S B + λ η R η L S B + λ 3 χ R χ L S B + h.c. S B = 0: L M Ψ Ψ L Ψ R + M η η R η L + m χ χ R χ L + h.c. Remnant Z stabilizes the DM candidate: Ψ L,R Ψ L,R, η L,R η L,R, nd χ L,R χ L,R Michael Duerr (MPIK Heidelberg) Gauge theories for B and L DPG Mainz, 4 March

15 Baryonic Dark Matter Dirac DM, SM singlet-like: χ = χ R + χ L Coupling to the new gauge boson: L g B χγ μ Z μ B (B P L + B 1 P R )χ Annihilation and direct detection! Model has only four free parameters: M χ, M ZB, g B, and B 1 + B = fully testable by combining LHC, DM direct detection, DM relic density. Michael Duerr (MPIK Heidelberg) Gauge theories for B and L DPG Mainz, 4 March 014 1

16 Dark Matter Relic Density 0.13 M ZB = TeV χ q 0.1 Z B Ωχh χ Planck: Ω DM h = ± q M χ [GeV] g B [0.10, 0.5] g B [0.5, 0.50] Michael Duerr (MPIK Heidelberg) Gauge theories for B and L DPG Mainz, 4 March

17 Dark Matter Direct Detection < Ω χ h < 0.1 χ χ ZB σ SI χn [cm ] XENON100 LUX XENON1T N Planck: Ω DM h = ± N M χ [GeV] M ZB [0.5, 1.7] TeV M ZB [1.7, 5.0] TeV Michael Duerr (MPIK Heidelberg) Gauge theories for B and L DPG Mainz, 4 March

18 Left Right Symmetric Model G LR = SU() L SU() R U(1) B L SM fields Q L (, 1, 1/3) Q R (1,, 1/3) l L (, 1, 1) l R (1,, 1) Connects neutrino masses and spontaneous parity violation. Standard version uses hybrid version of type I and type II seesaw mechanism for neutrino masses. Pati, Salam, PRD 10 (1974) 75, Mohapatra, Pati, PRD 11 (1975) 558, Senjanovic, Mohapatra, PRD 1 (1975) 150 SU() L SU() R U(1) B U(1) L He, Rajpoot, PRD 41 (1990) 1636 Michael Duerr (MPIK Heidelberg) Gauge theories for B and L DPG Mainz, 4 March

19 Anomaly Cancellation: Type III Seesaw Anomalies that need to be cancelled: A 1 SU() L U(1) B = 3/ A SU() L U(1) L = 3/ A 3 SU() R U(1) B = 3/ A 4 SU() R U(1) L = 3/ H L S BL H L Simplest solution: type III seesaw fields ρ L (3, 1, 3/4, 3/4), ρ R (1, 3, 3/4, 3/4) Neutrino mass matrix: M 3+ ν m 1 m D D 0 m 1 0 m 3 m 4 D D = 0 0 m m 5 m 6 D D. m 1 m 3 m D D D m m 4 m D D D ν L ν L ρ 0 L ρ 0 L Two light sterile neutrinos. M. Duerr, P. Fileviez Pérez, M. Lindner, arxiv: [hep-ph] (PRD) Michael Duerr (MPIK Heidelberg) Gauge theories for B and L DPG Mainz, 4 March

20 Summary Simple extensions of the SM: É B and L are gauge symmetries broken at a low scale É no proton decay no need for a desert É Neutrino masses É Fermionic DM candidate É Testable at the LHC Michael Duerr (MPIK Heidelberg) Gauge theories for B and L DPG Mainz, 4 March

21 Summary Simple extensions of the SM: É B and L are gauge symmetries broken at a low scale É no proton decay no need for a desert É Neutrino masses É Fermionic DM candidate É Testable at the LHC Thank you! Michael Duerr (MPIK Heidelberg) Gauge theories for B and L DPG Mainz, 4 March

22 Backup slides Michael Duerr (MPIK Heidelberg) Gauge theories for B and L DPG Mainz, 4 March 014 1

23 New Gauge Boson at the LHC.5.0 CDFRunI CMS 0.13 fb 1 CMS 5 fb 1 gb UA CDF1.1 fb 1 ATLAS1 fb 1 CMS 4 fb 1 ATLAS 13 fb CMS 0 fb M Z'B (GeV) B. A. Dobrescu, F. Yu, arxiv: [hep-ph] Michael Duerr (MPIK Heidelberg) Gauge theories for B and L DPG Mainz, 4 March 014