TeV Scale LNV: 0νββ-Decay & Colliders I

Transcription

1 TeV Scale LNV: 0νββ-Decay & Colliders I M.J. Ramsey-Musolf U Mass Amherst Collaborators: Tao Peng, Peter Winslow; V. Cirigliano, M. Graesser, M. Horoi, P. Vogel ACFI Neutrino Workshop July 2017! 1

2 This talk: beyond the poster child 2

3 This talk: beyond the poster child 3

4 Themes for This Talk 4

5 Low-Energy / High-Energy Interplay Discovery Diagnostic Low energy High energy 5

6 Low-Energy / High-Energy Interplay Discovery Diagnostic Low energy High energy 6

7 Low-Energy / High-Energy Interplay Discovery Diagnostic Low energy High energy 7

8 Low-Energy / High-Energy Interplay Discovery Diagnostic? Low energy High energy 8

9 apple 0νββ-Decay: LNV? Mass Term? L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac LNV Physics A( Z,N) A( Z 2,N + 2) 9 36

10 apple 0νββ-Decay: LNV? Mass Term? L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac Impact of observation Total lepton number not conserved at classical level New mass scale in nature, Λ Key ingredient for standard baryogenesis via leptogenesis LNV Physics A( Z,N) A( Z 2,N + 2) 10 36

11 Ton Scale Experiments J. Wilkerson INT DBD Program June

12 apple 0νββ-Decay: LNV? Mass Term? L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac Impact of observation Total lepton number not conserved at classical level What s inside? New mass scale in nature, Λ Key ingredient for standard baryogenesis via leptogenesis LNV Physics A( Z,N) A( Z 2,N + 2) 12 12

13 LNV: Discoverable at the Energy Frontier LHC International Linear Collider ATLAS CMS Future Circular e + e - & pp Future Circular e + e - & pp Thanks: S. Gascon- Shotkin 13

14 Outline I. The Standard Mechanism : High Scale LNV II. TeV Scale LNV III. Simplified Models: Connecting DBD & Colliders IV. Summary V. Sub Weak Scale LNV (back up) 14

15 I. St d Mechanism : High Scale LNV 15

16 LNV Mass Scale & 0νββ-Decay A(Z,N)! Underlying! A(Z+2, N-2) + e - e - Physics 3 light neutrinos only: source of neutrino mass at the very high see-saw scale 3 light neutrinos with TeV scale source of neutrino mass > 3 light neutrinos 16

17 LNV Mass Scale & 0νββ-Decay A(Z,N)! Underlying! A(Z+2, N-2) + e - e - Physics 3 light neutrinos only: source of neutrino mass at the very high see-saw scale 3 light neutrinos with TeV scale source of neutrino mass > 3 light neutrinos 17

18 apple 0νββ-Decay: LNV? Mass Term? L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac Standard Mechanism Light mass generated at the conventional see-saw scale: Λ ~ GeV W ν M W 3 light neutrinos mediate decay process A( Z,N) A( Z 2,N + 2) 18 18

19 High Scale LNV Effective DBD neutrino mass (ev) Three active light neutrinos Current generation Ton Scale Current generation Inverted Normal Lightest neutrino mass (ev)! 19

20 Details See F. Deppisch talk. 20

21 II. TeV Scale LNV 21

22 LNV Mass Scale & 0νββ-Decay A(Z,N)! Underlying! A(Z+2, N-2) + e - e - Physics 3 light neutrinos only: source of neutrino mass at the very high see-saw scale 3 light neutrinos with TeV scale source of neutrino mass > 3 light neutrinos Two parameters: Effective coupling & effective heavy particle mass 22

23 apple 0νββ-Decay: LNV? Mass Term? L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac TeV LNV Mechanism mass generated at the TeV scale Low-scale see-saw Radiative m ν S F S m MIN << 0.01 ev but 0νββ-signal accessible with tonne-scale exp ts due to heavy particle exchange A( Z,N) A( Z 2,N + 2) 23 23

24 TeV LNV & Leptogenesis Standard thermal lepto Energy Scale (GeV) Fast ΔL = 2 int: erase L Deppisch et al 14,

25 TeV LNV & Leptogenesis Standard thermal lepto Energy Scale (GeV) Fast ΔL = 2 int: erase L Electroweak, resonant lepto, WIMPY baryo, ARS lepto Post-sphaleron, cold Deppisch et al 14, 15 Baryogenesis alternatives 25

26 apple 0νββ-Decay: TeV Scale LNV L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac General Classification: Helo et al, PRD ,

27 apple 0νββ-Decay: TeV Scale LNV L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac General Classification: Helo et al, PRD , e ~ F d ~ V d ~ F e SUSY: R Parity-Violation Sfermion Gaugino ~ q, ~ l ~ g, χ u u 27

28 apple 0νββ-Decay: TeV Scale LNV L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac General Classification: Helo et al, PRD , e e LRSM: Low-scale See-Saw W R N R W R Mass: standard see-saw but TeV scale + many other diagrams 28

29 apple Dirac 0νββ-Decay: TeV Scale LNV L mass = y L H R + h.c. L mass = y L c HH T L + h.c. LHC Production & 0νββ-Decay LHC: SS Dilepton + Dijet 76 Ge τ (0ν) LHC exclusion Helo et al, PRD ,

30 III. Simplified Models MRM LNV Dog Race 30

31 apple 0νββ-Decay: TeV Scale LNV L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac TeV Scale LNV d u 0νββ - decay d e e u Can it be discovered with combination of 0νββ & LHC searches? d nbb S + u e Simplified models LHC: pp! jj e - e - d F 0 S + e u 31

32 Simplified Models: Illustrative Case General considerations for collider - 0νββ decay interface 32

33 Simplified Models: Illustrative Case S: (1, 2, ½) F: (1, 0, 0) 33

34 apple 0νββ-Decay: TeV Scale LNV L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac Helo et al claim: ¼ ¼ g effðsþ ¼ðg 1 g 2 Þ 1=2 : Fig. 11 M effðsþ ¼ðm 4 S m c Þ 1=5 ; 34

35 apple 0νββ-Decay: TeV Scale LNV L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac Helo et al claim: EXO exclusion ¼ ¼ g effðsþ ¼ðg 1 g 2 Þ 1=2 : Future Xe: T 1/2 > yr Fig. 11 M effðsþ ¼ðm 4 S m c Þ 1=5 ; 35

36 apple 0νββ-Decay: TeV Scale LNV L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac Helo et al claim: EXO exclusion ¼ ¼ g effðsþ ¼ðg 1 g 2 Þ 1=2 : Future Xe: T 1/2 > yr Fig. 11 LHC: pp! jj e - e fb -1 : < 3 events M effðsþ ¼ðm 4 S m c Þ 1=5 ; 36

37 apple 0νββ-Decay: TeV Scale LNV L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac TeV Scale LNV 0νββ - decay LHC: pp! jj e - e - d d d d nbb S + F 0 S + u e e u u e e u Comparing 0νββ & LHC sensitivities (our work): LHC backgrounds Running effective op s to low energy Matching onto hadronic d.o.f. Long range NME contributions 37

38 apple 0νββ-Decay: TeV Scale LNV L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac Backgrounds: Charge flip Jet faking electron 38

39 apple 0νββ-Decay: TeV Scale LNV L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac Backgrounds: g e + e - Charge flip Z Jet faking electron e + g e - e + transfers most of p T to conversion e - ; Z / γ * + jets! apparent e - e - jj event 39

40 apple 0νββ-Decay: TeV Scale LNV L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac Backgrounds: Bin in η and apply charge flip prob 40

41 apple 0νββ-Decay: TeV Scale LNV L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac Backgrounds: Jet fakes (e.g., π + looks like e + ) 41

42 apple 0νββ-Decay: TeV Scale LNV L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac Backgrounds: Cuts H T MET M ll 42 41

43 apple 0νββ-Decay: TeV Scale LNV L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac Backgrounds: Cuts T. Peng, MRM, P. Winslow

44 apple 0νββ-Decay: TeV Scale LNV L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac Low energy: Matching d d S + F 0 S + u e e u Match onto O eff at Λ BSM d u e e d 0 nbb -decay as fu g e = C 1 ( ) 1/4 We use a prospec u 44

45 apple 0νββ-Decay: TeV Scale LNV L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac Low energy: Running 45

46 apple 0νββ-Decay: TeV Scale LNV L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac Low energy: QCD Running 46

47 apple 0νββ-Decay: TeV Scale LNV L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac Low energy: QCD Running Assuming C k = 1 at µ = 5 GeV! Effective DBD amplitude for O 1 substantially weaker for given LHC constraints 47

48 apple 0νββ-Decay: TeV Scale LNV L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac Low energy: Nuclear Matrix Elements: Long Range Effects Exploit Chiral Symmetry & EFT ideas 48

49 apple 0νββ-Decay: TeV Scale LNV L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac Low energy: Nuclear Matrix Elements: Long Range Effects Our work Exploit Chiral Symmetry & EFT ideas Helo et al 49

50 0ν ββ - decay in effective field theory π π π N N N N N N Tractable nuclear operators Systematic operator classification Prezeau, MJRM, Vogel PRD 68 (2003)

51 0ν ββ - decay in effective field theory Operator classification L(q,e) = G 2 F Λ ββ 14 j=1 C j (µ) ˆ O j ++ e Γ j e c + h.c. e.g. ˆ O 1+ ab = q L γ µ τ a q L q R γ µ τ b q R 0ν ββ - decay: a = b = + Prezeau, MJRM, Vogel PRD 68 (2003)

52 0ν ββ - decay in effective field theory Operator classification Match onto hadronic operators using chiral transformation properties Prezeau, MJRM, Vogel PRD 68 (2003) See also M. Graesser

53 0ν ββ - decay in effective field theory π π π N N N N N N K ππ p 2 K πnn p 1 K NNNN p 0 53

54 0ν ββ - decay in effective field theory π π π N N N N N N K ππ p 2 K πnn p 1 K NNNN p 0 O (p -2 ) for ˆ O O (p 0 ) for O ˆ

55 0ν ββ - decay in effective field theory π π π N N N N N N K ππ p 2 K πnn p 1 K NNNN p 0 O (p -2 ) for ˆ O O (p 0 ) for O ˆ

56 0ν ββ - decay in effective field theory π π π Illustrative model, RPV SUSY N N N N LRSM, No W L -W R mixing N LRSM, W L -W R mixing N K ππ p 2 K πnn p 1 K NNNN p 0 O (p -2 ) for ˆ O O (p 0 ) for O ˆ

57 0ν ββ - decay in effective field theory π π π N N N N N N K ππ p 2 Hadronic matrix K πnn p 1 elements: M. Graesser talk K NNNN p 0 O (p -2 ) for ˆ O O (p 0 ) for O ˆ

58 Rate 58

59 Rate Hadronic matrix element Nuclear matrix element Phase space 59

60 Putting Pieces Together 60

61 apple 0νββ-Decay: TeV Scale LNV L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac Benchmark Sensitivity: TeV LNV Present Tonne scale F S S A( Z,N) A( Z 2,N + 2) T. Peng, MRM, P. Winslow

62 apple 0νββ-Decay: TeV Scale LNV L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac Benchmark Sensitivity: TeV LNV Present Tonne scale F S S Nuc & had matrix elements A( Z,N) A( Z 2,N + 2) T. Peng, MRM, P. Winslow

63 apple 0νββ-Decay: TeV Scale LNV L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac Benchmark Sensitivity: TeV LNV Present LHC: ee jj Tonne scale S F S A( Z,N) A( Z 2,N + 2) T. Peng, MRM, P. Winslow

64 apple 0νββ-Decay: TeV Scale LNV L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac Benchmark Sensitivity: TeV LNV Present ~2018 Tonne scale S F S >2024 A( Z,N) A( Z 2,N + 2) T. Peng, MRM, P. Winslow

65 apple 0νββ-Decay: TeV Scale LNV & m ν L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac Implications for m ν : Controls m ν Schecter-Valle: non-vanishing mass at (multi) loop level Simplified model: possible (larger) one loop mass 65

66 apple 0νββ-Decay: TeV Scale LNV & m ν L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac Implications for m ν : Ton Scale Signal m ν (loop) A hypothetical scenario 66

67 apple 0νββ / LHC Interplay: Matrix Elements L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac Benchmark Sensitivity: TeV LNV F S S Assume GERDA present limit & different Nuc/Had MEs A( Z,N) A( Z 2,N + 2) T. Peng, MRM, P. Winslow

68 apple 0νββ / LHC Interplay: Matrix Elements L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac Benchmark Sensitivity: TeV LNV Challenge S F S Assume GERDA present limit & different Nuc/Had MEs A( Z,N) A( Z 2,N + 2) T. Peng, MRM, P. Winslow

69 LNV: pp at 100 TeV Preliminary Cut based analysis Machine learning M. Graesser, T. Peng, MJRM, P. Winslow in prog 69

70 V. Summary LNV interactions responsible for m ν may live at any scale from the conventional see-saw scale to the sub-gev scale TeV scale LNV is theoretically well-motivated and would have important implications for baryogenesis if it exists 0νββ-decay and collider searches provide complementary probes of this scenario Fully exploiting this inter-frontier interface requires careful analysis of backgrounds, running, matching, and nuclear physics dynamics 70

71 Back Up Slides 71

72 IV. Sub Weak Scale LNV 72

73 LNV Mass Scale & 0νββ-Decay A(Z,N)! Underlying! A(Z+2, N-2) + e - e - Physics 3 light neutrinos only: source of neutrino mass at the very high see-saw scale 3 light neutrinos with TeV scale source of neutrino mass > 3 light neutrinos 73

74 LNV Mass Scale & 0νββ-Decay Effective DBD neutrino mass (ev)! 3 light ν s light ν s Ton Scale light ν s 3 light ν s Lightest neutrino mass (ev)! 74

75 Sub Weak Scale LNV P. Mermod Mixing U αn E. Izzaguire & B. Shuve 75

76 Sub Weak Scale LNV P. Mermod Mixing U αn BAU from Leptogenesis Drewes et al 16 Lower bound < E. Izzaguire & B. Shuve 76

77 Sub Weak Scale LNV P. Mermod Mixing U αn Excluded E. Izzaguire & B. Shuve See also: Helo, Kovalenko & Hirsch 77

78 Sub Weak Scale LNV P. Mermod Mixing U αn Excluded Displaced LJ + µ 3 resolved prompt leptons E. Izzaguire & B. Shuve 78

79 Displaced Lepton Jets H. Russell, CERN LLP workshop, April 17 ATLAS JHEP11 (2014) 88 79

80 Displaced Lepton Jets H. Russell, CERN LLP workshop, April 17 ATLAS JHEP11 (2014) 88 80

81 Models 81

82 apple 0νββ-Decay: TeV Scale LNV L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac General Classification: Helo et al, PRD ,

83 apple 0νββ-Decay: TeV Scale LNV L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac General Classification: Helo et al, PRD , e ~ F d ~ V d ~ F e SUSY: R Parity-Violation Sfermion Gaugino ~ q, ~ l ~ g, χ u u 83

84 apple 0νββ-Decay: TeV Scale LNV L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac General Classification: Helo et al, PRD , e u ~ F d ~ V d ~ F LNV u e SUSY: R Parity-Violation Sfermion Gaugino ~ q, ~ l ~ g, χ 84

85 apple 0νββ-Decay: TeV Scale LNV L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac General Classification: Helo et al, PRD , e ~ F d ~ V d ~ F e SUSY: R Parity-Violation u LNV u 85

86 apple 0νββ-Decay: TeV Scale LNV L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac General Classification: Helo et al, PRD , e ~ F d ~ V d ~ F e SUSY: R Parity-Violation u LNV u 86

87 apple 0νββ-Decay: TeV Scale LNV L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac General Classification: Helo et al, PRD , e ~ F d ~ V d ~ F e SUSY: R Parity-Violation u LNV u 87

88 apple 0νββ-Decay: TeV Scale LNV L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac General Classification: Helo et al, PRD , e e LRSM: Type I See-Saw W R N R W R Mass: standard see-saw but TeV scale 88

89 apple 0νββ-Decay: TeV Scale LNV L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac General Classification: Helo et al, PRD , LRSM: Type II See-Saw e e L = g 2 h ij LC i " L L j +(L $ R)+h.c. Δ R W R W R 89

90 apple 0νββ-Decay: TeV Scale LNV L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac General Classification: Helo et al, PRD , Scalar Leptoquarks Mass: like RPV SUSY (loop) NLDBD: need fermion 90

91 apple 0νββ-Decay: TeV Scale LNV L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac What can we learn from the LHC? 91

92 apple 0νββ-Decay: TeV Scale LNV L mass = y L H R + h.c. L mass = y L c HH T L + h.c. Dirac LHC Production LHC: pp! jj e - e - LHC: pp! jjj e - e - 92