Collider Signatures of the Left-Right Higgs Sector

Transcription

1 Collider Signatures of the Left-Right Higgs Sector Bhupal Dev Washington University in St. Louis 5th Workshop on High Energy Physics Phenomenology IISER Bhopal December 8, 207

2 B L breaking Natural way to generate neutrino mass. Local B L symmetry. Associated Higgs field leaves a physical neutral scalar component. Important to find this B L counterpart to the SM Higgs. Experimentally realistic only if B L breaking scale is within multi-tev. Mass of the new Higgs field is still largely unrestricted. Important to scan over the entire allowed range (leave no stone unturned). Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/207 2 / 45

3 B L breaking Natural way to generate neutrino mass. Local B L symmetry. Associated Higgs field leaves a physical neutral scalar component. Important to find this B L counterpart to the SM Higgs. Experimentally realistic only if B L breaking scale is within multi-tev. Mass of the new Higgs field is still largely unrestricted. Important to scan over the entire allowed range (leave no stone unturned). Distinct signatures depending on whether the scale is above or below m h. For masses m h, production is (typically) kinematically suppressed at the LHC. (Many studies on heavy Higgs searches) For masses m h, potentially large mixing with the SM Higgs (disfavored by the LHC Higgs data). Mass range m h largely unexplored so far. Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/207 2 / 45

4 Left-Right Symmetric Model Provides a natural framework for type-i seesaw embedding. Based on the gauge group SU(2) L SU(2) R U() B L. [Pati, Salam (PRD 74); Mohapatra, Pati (PRD 75); Senjanović, Mohapatra (PRD 75)] The main ingredients of seesaw (right-handed neutrinos with Majorana mass) are an essential part of the theory (and not put in by hand ): ( ) ( ul Q L = 2,, ) ( ) ( P ur Q d R =, 2, ) L 3 d R 3 ( ) ( ) νl Ψ L = (2,, ) P NR Ψ e R = (, 2, ) L e R Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/207 3 / 45

5 Left-Right Symmetric Model Provides a natural framework for type-i seesaw embedding. Based on the gauge group SU(2) L SU(2) R U() B L. [Pati, Salam (PRD 74); Mohapatra, Pati (PRD 75); Senjanović, Mohapatra (PRD 75)] The main ingredients of seesaw (right-handed neutrinos with Majorana mass) are an essential part of the theory (and not put in by hand ): ( ) ( ul Q L = 2,, ) ( ) ( P ur Q d R =, 2, ) L 3 d R 3 ( ) ( ) νl Ψ L = (2,, ) P NR Ψ e R = (, 2, ) L e R Can be realized at v R 5 TeV scale, with many observable effects. Heavy gauge bosons W R with spectacular signals at the LHC (and beyond). [Keung, Senjanović (PRL 83)] New contributions to 0νββ and lepton flavor violation. [Riazuddin, Marshak, Mohapatra (PRD 8); Hirsch, Klapdor-Kleingrothaus, Panella (PLB 96); Tello, Nemevsek, Nesti, Senjanović, Vissani (PRL 0)] Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/207 3 / 45

6 Minimal scalar sector SU(2) L SU(2) R U() B L R (, 3, 2) R (, 3, 2) SU(2) L U() Y Φ (2, 2, 0) Φ (2, 2, 0) U() EM ( 2 + R ++ R 0 R 2 + R ( φ 0 φ + 2 φ φ 0 2 ) H 0 3, H±± 2 ) h, H 0, A0, H± Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/207 4 / 45

7 Minimal scalar sector SU(2) L SU(2) R U() B L R (, 3, 2) R (, 3, 2) SU(2) L U() Y Φ (2, 2, 0) Φ (2, 2, 0) U() EM ( 2 + R ++ R 0 R 2 + R ( φ 0 φ + 2 φ φ 0 2 ) H 0 3, H±± 2 ) h, H 0, A0, H± Eight physical scalars with rich phenomenology. [Gunion, Grifols, Mendez, Kayser, Olness (PRD 89); Dutta, Eusebi, Gao, Ghosh, Kamon (PRD 4); Bambhaniya, Chakrabortty, Gluza, Jeliński, Kordiaczyńska (PRD 4, 5); Maiezza, Nemevsek, Nesti (PRL 5); BD, Mohapatra, Zhang (JHEP 6);...] Left-handed L can be decoupled from the TeV scale physics. [Chang, Mohapatra, Parida (PRL 84), Deshpande, Gunion, Kayser, Olness (PRD 9)] Allows gauge coupling g R g L at the TeV scale. Lower limit on g R /g L tan θ w [Brehmer, Hewett, Kopp, Rizzo, Tattersall (JHEP 5); BD, Mohapatra, Zhang (JHEP 6)] Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/207 4 / 45

8 Scalar Potential [ ] V (Φ, R ) = µ 2 Tr(Φ Φ) µ 2 2 Tr( ΦΦ ) + Tr( Φ Φ) µ 2 3 Tr( R R ) [ +λ Tr(Φ Φ) ] { 2 [ ] 2 [ ] } 2 + λ2 Tr( ΦΦ ) + Tr( Φ Φ) [ ] +λ 3 Tr( ΦΦ )Tr( Φ Φ) + λ 4 Tr(Φ Φ) Tr( ΦΦ ) + Tr( Φ Φ) +ρ [Tr( R R ) ] 2 + ρ2 Tr( R R )Tr( R R ) +α Tr(Φ Φ)Tr( R R ) + [ α 2 e iδ2 Tr( Φ Φ)Tr( R R ) + H.c. ] +α 3 Tr(Φ Φ R R ). [More discussion in A. Patra s talk] Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/207 5 / 45

9 Physical scalar masses Assume CP conservation and ξ φ 0 2 / φ0 = κ /κ m b /m t, ɛ v EW /v R = κ 2 + κ 2 /v R scalars components mass squared h H 0 φ 0 Re ( ) 4λ α2 ρ λ κ 2 ( ) φ 0 Re 2 α 3( + 2ξ 2 )v 2 R +4 2λ 2 + λ 3 + 4α2 2 α 3 4ρ κ 2 A 0 φ 0 Im 2 α 3( + 2ξ 2 )v 2 R +4 (λ3 2λ2) κ2 H ± φ ± 2 α 3( + 2ξ ( 2 )v 2 R + 2 α3κ2 ) H Re R 4ρ v 2 R + α 2 ρ 6α2 2 α 3 4ρ κ 2 H ±± 2 ±± R 4ρ 2v 2 R +α3κ2 Bidoublet scalars Almost degenerate masses Triplet scalars Couple to quarks only through mixings: Hadrophobic states Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/207 6 / 45

10 Constraints on the Bidoublet Scalars Bhupal Dev (Washington U.) LR Higgs atfigure Collider3.3: Illustration of the CEPC-SPPC ring sited 03/3/207 in Qinghuangdao. 7 / The 45 sm Contribute to tree-level FCNCs. b s b s H 0 /A0 H 0 /A0 s b 38 s b Severe limits on bidoublet mass: M H 0,A 0,H± (NPB 07); Bertolini, Maiezza, Nesti (PRD 4)] No hope of finding them at the LHC. A good motivation for FCC-hh. 0 TeV [Zhang, An, Ji, Mohapatra

11 Production of H 0, A 0 b H 0 /A 0 b b g g (a) b g b b b b H 0 /A 0 b H 0 /A 0 b H 0 /A 0 g (b) (c) (d) b Figure. Representative Feynman diagrams for the dominant production processes of H 0 and A 0 from bottom-quark annihilation. Formally, (b) and (c) are part of the NLO corrections to (a), and (d) is part of the NNLO correction to (a) in the inclusive production cross section for pp! H 0 /A 0 + X, ignoring the final state jets in X. 0 Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/207 8 / 45

12 Cross Section for H 0, A 0 0 s = 00 TeV LO NLO NNLO 0.00 σ [fb] M H 0 A 0 [TeV] Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/207 9 / 45

13 3. Representative Feynman diagrams for the dominant production processes o Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/207 0 / 45 Production of H ± g t t g b b H + b H + g t t b t (a) W j j q (b) j W R Z (R) H ± b H + q j (c) (d)

14 Cross Section for H ± s = 00 TeV H ± t (LO) H ± t (NLO) H ± jj (W ) H ± jj (VBF) σ [fb] M H ± [TeV] Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/207 / 45

15 Discovery Channel for H 0 /A 0 scalar discovery channel SM background σ SM [fb] H 0/A0 b b b b 500 H 0/A0 H 0 hh0 3 hhh hhh 6b ZZZ 6b 0.9 H ± H ± t ttb ttb bbbjjlν Bi-doublet Mass [TeV] H 0 /A 0 bb H 0 6b H ± t bbbjjlν 6 For H ± S/ S +B, another alternative: pp H±± 2 H tri-lepton+met. Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/207 2 / 45

16 Constraints on Doubly-charged Scalars LHC multilepton search limits on doubly-charged scalar: M H2 ±± GeV q Z/γ H ++ 2 l + i l + i ±± 00% Φ e ± e ± CMSPreliminary fb (3 TeV) q H 2 l j ±± 00% Φ e ± µ ± l j ±± 00% Φ µ ± µ ± ±± 00% Φ e ± τ ± l + i ±± 00% Φ µ ± τ ± Observed exclusion 95% CL q W ± H ++ 2 l + i νj ±± 00% Φ τ ± τ ± Benchmark Expected exclusion 95% CL Associated Production Pair Production Combined q H l j Benchmark 2 Benchmark 3 Benchmark ±± Φ Mass (GeV) Figure 9: Summary of expected and observed limits for each production mode and the combined limit. The shaded region represents the excluded mass points and the thick solid line represents the expected exclusion with the hashed region indicating the direction. Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/207 3 / 45

17 Production of H ±± 2 e 7. Representative Feynman diagrams for the dominant production of H ±± 2 : (a) D roduction; (b) Higgs-portal pair production; (c) heavy VBF; and (d) Higgsstrahlung. Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/207 4 / 45 q H 2 g H 2 /Z/Z R h q g H ++ H ++ 2 (a) (b) q j q 2 W R W R H ±± 2 W R W ± R q j q H ±± (c) (d) 2

18 Cross Section for H ±± 2 at LHC H ++ 2 H -- 2 (DY) H ++ 2 H -- 2 (h) H ±± 2 jj (0.6) H ±± 2 jj (.0) H ±± 2 jj (.5) H ±± 2 W R (0.6) H ±± 2 W R (.0) H ±± 2 W R (.5) σ [fb] s = 4 TeV M H2 ±± [GeV] Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/207 5 / 45

19 3σ Sensitivity for H ±± 2 at 4 TeV.0 s = 4 TeV, L = 3 ab M H2 ±± [TeV] 0.6 LHC8 excl. H ++ 2 H-- 2 H ±± 2 jj (0.6) H ±± 2 jj (.0) v R [TeV] Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/207 6 / 45

20 Cross Section for H ±± 2 at 00 TeV H ++ 2 H -- 2 (DY) H ++ 2 H -- 2 (h) H ±± 2 jj (0.6) H ±± 2 jj (.0) H ±± 2 jj (.5) H ±± 2 W R (0.6) H ±± 2 W R (.0) H ±± 2 W R (.5) σ [fb] s = 00 TeV M H2 ±± [TeV] Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/207 7 / 45

21 3σ Sensitivity for H ±± 2 at 00 TeV M H2 ±± [TeV] s = 00 TeV L = 30 ab LHC8 excl. H ++ 2 H-- 2 H ±± 2 jj (0.6) H ±± 2 jj (.0) H ±± 2 jj (.5) H ±± 2 W R (0.6) H ±± 2 W R (.0) H ±± 2 W R (.5) v R [TeV] Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/207 8 / 45

22 Distinction from MSSM Higgs Sector Field MSSM LR model H 0, A0 b b, τ + τ (high tan β) b b tt (low tan β) H + t bt b, t b τν W + R W l + l + 4j t L b R H 0 /A0 τ τ mode is suppressed by either the Dirac Yukawa coupling or the left-right mixing. New decay modes (absent/suppressed in MSSM): H 0 W + R W, H + W + R Z, H0 3 hh. Doubly-charged scalar. [BD, Mohapatra, Zhang (JHEP 6)] Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/207 9 / 45

23 Light neutral scalar H 3 At the leading order [mixing constrained to be very small] m 2 H 3 4ρ v 2 R Mixing with the SM Higgs [note the inverse dependence on the VEV ratio] ( ) 4λ ɛ 2 2α ɛ v 2α ɛ 4ρ R 2 = sin θ α v R 2λ v EW Mixing with the heavy doublet scalar H [inducing FCNC couplings] sin θ 2 4α 2 α 3 v EW v R H 3 talks to the SM particles through: the mixing angles sin θ,2: hadrons, l + l, γγ; RH gauge coupling: γγ, through the W R (and H ±, H±± 2 ) loop. Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/ / 45

24 Mass dependence Mass dependence on the quartic couplings at the tree level m 2 H 3 4ρ v 2 R sin 2 θ m 2 h, 0-2 quartic coupling α theoretical limit m H quartic coupling ρ 2 > 0 MeV 0 MeV 00 MeV GeV 0 GeV 00 GeV To have a GeV H 3, the parameter ρ GeV 2 /4v 2 R 0 8 for v R = 5 TeV. Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/207 2 / 45

25 Radiative Effects Mass dependence on the parameters at the -loop level ( m 2 H3 ) loop 3 2π 2 [ 3 α ρ2 2 8f g 4 R + (g 2 R + g 2 BL) 2 ] v 2 R H3 H3 H3 H3 Φ Φ vr vr vr vr H3 H3 H3 H3 H3 H3 V R V R N i vr vr vr vr vr vr For m H3 GeV and v R few TeV, the parameters above are tuned at the level of GeV/ v R 4π 0 2. Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/ / 45

26 Decay All the couplings to SM quarks and leptons are proportional to the linear combinations of sin θ,2. Heavy particle loops for H 3 γγ suppressed by v EW /v R. [ Γ(H 3 q q) = 3m H 3 6π Γ(H 3 l + l ) = m H 3 6π + i,j i,j i,j Γ(H 3 γγ) = α2 m 3 H 3 024π 3 2 Γ(H 3 gg) = G F α 2 s (m H 3 )m 3 H π 3 Y u, ij 2 β 3 2 (m H 3, m ui, m uj )Θ(m H3 m ui m uj ) Y d, ij 2 β 3 2 (m H 3, m di, m dj )Θ(m H3 m di m dj ) Y e, ij 2 β 3 2 (m H 3, m ei, m ej )Θ(m H3 m ei m ej ), A 0(τ ± v H )+ 4 2 A 0(τ ±± R v H ) R f f N f C v Q f A /2 (τ f ) + A (τ WR ), EW v R f =q,l 2 3 f f A /2 (τ f ), 4 f =q ], [ ] A0(0) = /3 A (0) = 7 Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/ / 45

27 Decay Length sin θ sin θ km 00 m 0 m m 0 cm cm 0. cm m H3 [GeV] km 00 m 0 m m 0 cm cm 0. cm m H3 [GeV] Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/ / 45

28 Branching ratios log0 BR sin θ H3 γγ H3 ℓ + ℓ H3 gg H3 qq mh3 [GeV] Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/ / 45

29 Branching ratios sin θ H 3 l + l - H 3 γγ H 3 qq H 3 gg m H3 [GeV] log 0 BR Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/ / 45

30 K (and B) meson mixing Effective FCNC coupling for K 0 K 0 mixing from mixing with heavy doublet scalar H and SM Higgs h L H3 = G F 4 sin 2 θ2 2 m 2 K m2 + im H H3 Γ H3 3 [ ( i m i λ RL i ) 2 O 2 + ( sin θ 2 sin θ 2 + ξ sin θ, i m i λ LR i ) 2Õ2 + 2( i m i λ LR i [ξ = φ 0 2 / φ0, h H mixing ] )( i ] m i λ RL i )O 4 m i = {m u, m c, m t}, O 2 = [ s( γ 5)d][ s( γ 5)d], Õ 2 = [ s( + γ 5)d][ s( + γ 5)d], O 4 = [ s( γ 5)d][ s( + γ 5)d]. λ LR i = V L,i2 V R,i, λ RL i = V R,i2 V L,i Resonance effect when m H3 is close to the Kaon mass: q 2 m 2 + im H H3 Γ H3 q 2 m 2 3 K Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/ / 45

31 Flavor-changing meson decay s b H 3 l + (hadron, γ) l (hadron, γ) Stringent limits from the down-type quark sector K πχχ, B Kχχ, [χ = hadron, l, γ] Visible decays : H 3 decaying inside detector spatial resolution d j d ih 3, H 3 χχ Invisible decays : H 3 decaying outside detector size d j d ih 3, H 3 any (L H3 > R detector ) Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/ / 45

32 List of meson decay limits Expt. meson decay H 3 decay E H3 L H3 BR/N event NA48/2 [ 09] K + π + H 3 H 3 e + e 30 GeV < 0. mm NA48/2 [ ] K + π + H 3 H 3 µ + µ 30 GeV < 0. mm NA62 [ 4] K + π + H 3 H 3 γγ 37 GeV < 0. mm E949 [ 09] K + π + H 3 any (inv.) 355 MeV > 4 m NA62 [ 05] K + π + H 3 any (inv.) 37.5 GeV > 2 m KTeV [ 03] K L π 0 H 3 H 3 e + e 30 GeV < 0. mm KTeV [ 00] K L π 0 H 3 H 3 µ + µ 30 GeV < 0. mm KTeV [ 08] K L π 0 H 3 H 3 γγ 40 GeV < 0. mm BaBar [ 03] B KH 3 H 3 l + l m B /2 < 0. mm Belle [ 09] B KH 3 H 3 l + l m B /2 < 0. mm LHCb [ 2] B + K + H 3 H 3 µ + µ 50 GeV < 0. mm BaBar [ 3] B KH 3 any (inv.) m B /2 > 3.5 m Belle II [ 0] B KH 3 any (inv.) m B /2 > 3 m LHCb [ 7] B s µµ BaBar [ 0] B d γγ Belle [ 4] B s γγ BaBar [ ] Υ γh 3 H 3 qq, gg m Υ /2 < 3.5 m [, 80] 0 6 CHARM [ 85] K πh 3 H 3 γγ 0 GeV [480, 55] m < 2.3 CHARM [ 85] B X s H 3 H 3 γγ 0 GeV [480, 55] m < 2.3 SHiP [ 5] K πh 3 H 3 γγ 25 GeV [70, 25] m < 3 SHiP [ 5] B X s H 3 H 3 γγ 25 GeV [70, 25] m < 3 DUNE [ 3] K πh 3 H 3 γγ 2 GeV [500, 507] m < 3 DUNE [ 3] B X s H 3 H 3 γγ 2 GeV [500, 507] m < 3 future prospects, flavor-conserving couplings only Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/ / 45

33 K ± meson limits sin θ cosmological limits K ± width K + π + νν [NA62] 00 m m m H3 [GeV] K + π + e + e - K + π + μ + μ - K + π + γγ 0.0 cm cm sin θ cosmological limits K ± width limits from 20% of Γ total (K ± ) K ± width K + π + νν [NA62] m H3 [GeV] K + π + e + e - K + π + μ + μ - K + π + γγ 00 m m K ± π ± e + e : NA48/2 [ 09] K ± π ± ν ν : E949 [ 09] K ± π ± µ + µ : NA48/2 [ ] K ± π ± ν ν : NA62 (prosepcts) K ± π ± γγ : NA62 [ 4] (dashed gray lines indicate the proper lifetime of H 3) 0.0 cm cm Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/ / 45

34 K 0 meson limits sin θ cosmological limits KL π 0 γγ K 0 mixing KL width 00 m m m H3 [GeV] KL π 0 e + e - KL π 0 μ + μ cm cm sin θ cosmological limits KL π 0 γγ K 0 mixing KL width m H3 [GeV] KL π 0 e + e - KL π 0 μ + μ - 00 m m K 0 K 0 mixing limits from 50% of experimental central value [ MeV] (large theoretical uncertainties) K L width limits from 20% of Γ total (K L ) K L π 0 e + e : KTeV [ 03] K L π 0 µ + µ : KTeV [ 00] K L π 0 γγ : KTeV [ 08] (dashed gray lines indicate the proper lifetime of H 3) 0.0 cm Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/207 3 / 45 cm

35 B meson limits sin θ cosmological limits BaBar B width [excl.] 00 m Belle B Kν ν Belle II LHCb m Bs μ + μ - Bs mixing Bd mixing m H3 [GeV] cm 0.0 cm sin θ cosmological limits B d γγ B s γγ BaBar B width [excl.] 00 m Belle B Kν ν Belle II LHCb m B s μ + μ - Υ γh 3 B s mixing B d mixing m H3 [GeV] B d(s) B d(s) mixing limits from CKM fitter [9.3 (2.7) 0 (9) MeV] [Charles et al 5] B width limits from 20% of Γ total (B) B Kl + l : BaBar [ 03], Belle [ 09], LHCb [ 2] B Kν ν : BaBar [ 3], Belle II (prospects) B s µ + µ : LHCb [ 7] B d(s) γγ : BaBar (Belle) [ 0 ( 4)] Υ γh 3 : BaBar [ ] (dashed gray lines indicate the proper lifetime of H 3) Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/ / 45 cm 0.0 cm

36 Beam dump experiments 0 - sin θ cosmological limits B width [incl.] K ± width CHARM [B] DUNE [B] SHiP [B] SHiP [K] CHARM [K] DUNE [K] KL width sin θ cosmological limits B width [incl.] K ± width KL width CHARM [B] DUNE [B] SHiP [B] SHiP [K] CHARM [K] DUNE [K] 00 m m cm 0.0 cm m H3 [GeV] 00 m m cm 0.0 cm m H3 [GeV] CHARM : N PoT = = K, B SHiP : N PoT = = K, B DUNE : N PoT = = K, B Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/ / 45

37 Higgs measurements and rare Z decay 0.50 Higgs inv. [LHC] Z γh 3 sin θ cosmological limits [ILC] K width B width [incl.] Higgs coupling [ILC] m h/ m H3 [GeV] The h H 3 mixing changes all the SM Higgs couplings by a factor of cos θ. [Falkowski, Gross, Lebedev (JHEP 5); Profumo, Ramsey-Musolf, Wainwright, Winslow (PRD 5)] Invisible decay h H 3H 3 (H 3 decaying outside detector) opens when m H3 < m h /2. LHC limits and ILC prospects [Peskin 2; Baer et al. 3] Rare decay Z γh 3 (H 3 γγ), induced by the SM fermion loops. [Jaeckel, Spannowsky (PLB 5)] Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/ / 45

38 Production of H 0 3 Production at the LHC g h g H 0 3 h h g H3 0 g H3 0 q (a) j q (b) V R V R V R H 0 3 V R q j q H3 0 (c) (d) Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/ / 45

39 Production at LHC (and FCC-hh) SM Higgs portal is highly suppressed by sin θ pp h ( ) hh 3 /H 3 H 3 ( sin θ ) Heavy VBF production & associated production: q j q V R V R V R H 3 V R σ [fb] q j q H 3 H 3JJ (0.6) H 3JJ (.0) H 3JJ (.5) (subleading) s = 4 TeV m H3 [GeV] σ [fb] H 3JJ (0.6) H 3JJ (.0) H 3JJ (.5) s = 00 TeV m H3 [GeV] Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/ / 45

40 Displaced photon signal 0 4 MATHUSLA USLA 00 Number of Events 0 LHC s = 4 TeV 3000 fb - John-Paul Chou David Curtin Henry Lubatti Ultra-Stable NeutraL PArticles m H3 [GeV] Mixing angles sin θ,2 are constrained to be very small ( 0 4 ) by the meson data. H 3 γγ, highly collimated diphoton signal, dominated by the W R loop, only suppressed by v R. H 3 tends to be long-lived if it is light: GeV mass = L 0 cm ( ) EH3 00 cm L 0 00 m m H3 Displaced vertex signal at the LHC. Lifetime frontier: MATHUSLA (MAssive Timing Hodoscope for Ultra-Stable NeutraL PArticles) [Chou, Curtin, Lubati (PLB 6)] Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/ / 45

41 Expected LLP sensitivities LHC [0.6] LHC [.0] LHC [.5] MATHUSLA [0.6] MATHUSLA [.0] s = 4 TeV 3000 fb LHC [0.6] LHC [.0] LHC [.5] MATHUSLA [0.6] MATHUSLA [.0] s = 4 TeV 3000 fb - sin θ sin θ m m H3 [GeV] cm LHC: Assuming 0 LLP signal events. 0.0 cm 0-6 m m H3 [GeV] MATHUSLA: Assuming 4 signal events (since virtually background-free). Effective solid angle very small, 0%. Thin -disk-like compared to the decay length of 00 m. Larger regions probable at FCC-hh and forward LLP detector therein. cm 0.0 cm Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/ / 45

42 Energy-Intensity frontier complementarity sin θ cosmological limits B Kχχ K πχχ B Kν ν Belle II K + π + νν NA62 CHARM [B] SHiP [B] CHARM [K] DUNE [K] Bs mixing K 0 mixing Bd mixing m H3 [GeV] MATHUSLA FCC forward detector LHC LLP searches FCC LLP searches sin θ cosmological limits B Kχχ K πχχ B Kν ν Belle II K + π + νν NA62 CHARM [B] SHiP [B] CHARM [K] DUNE [K] Υ γh 3 Bs mixing K 0 mixing Bd mixing m H3 [GeV] MATHUSLA FCC forward detector LHC LLP searches FCC LLP searches The LLP searches at LHC and MATHUSLA (and future 00 TeV collider FCC-hh) are largely complementary to the meson limits from beam-dump (including SHiP) H 3 mass ranges complementary. Mixing angles sin θ,2 complementary. (H 3 γγ does not depend on sin θ,2) Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/ / 45

43 L-R seesaw sensitivity 8 7 LHC [0.6] LHC [.0] LHC [.5] MATHUSLA [0.6] MATHUSLA [.0] MATHUSLA [.5] s = 4 TeV 3000 fb - M WR [TeV] m m cm 0.0 cm m H3 [GeV] Larger regions probable at FCC-hh and forward LLP detectors therein. Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/ / 45

44 L-R seesaw sensitivity m WR [TeV] s = 4 TeV 3000 fb - Mathusla[0.6] Mathusla[.0] Mathusla[.5] LHC [0.6] LHC [.0] LHC [.5] 00 m m cm 0.0 cm m N [GeV] Larger regions probable at FCC-hh and forward LLP detectors therein. Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/207 4 / 45

45 U() Case 0.00 hadrons leptons 0.00 BR γγ m H3 [GeV] γγ is no longer the dominant decay mode. Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/ / 45

46 U() Sensitivity s = 4 TeV 3000 fb cm sin θ 0-4 cm m 0-6 LHC [gauge] LHC [scalar] MATHUSLA [gauge] MATHUSLA [scalar] 00 m m H3 [GeV] Production can be through Z portal or Higgs portal. Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/ / 45

47 Constraints from Leptogenesis N H/A N N H/A Figure. Feynman diagram for the scattering NN! HH, AA induced by the Yukawa couplings 5 0 f 4 H,A in Eq. (2.). perturbative limit v R = 4 TeV perturbative limit v R = 0 TeV involved in the dilution of RHNs through the processes NN! S i! S j S k (i, j, k being 0scalar 4 indices, see e.g. the diagrams in Fig. 7) and2 play 0 4 an important role in leptogenesis, particularly when the Yukawa coupling f is comparatively smaller. To capture the most important consequence of the presence of a (light) scalar/pseudoscalar in the type-i seesaw leptogenesis, we neglect the model-dependent scalar interactions in this section, and consider only the t-channel process NN! HH/AA, mediated by the Yukawa coupling f 000in Eq. (2.), 3 as shown in Fig It should be noted that even if the new scalar develops a non-vanishing vacuum expectation value (VEV), which is expected to be higher than the electroweak (EW) 4 0 VEV 5 m at v EW ' 74 GeV, N [GeV] m before the EW phase transition the heavy scalar does N [GeV] not mix with the SM Higgs in the early universe. Therefore, in addition to the RHN mass m N (and Figure 2. the leptogenesis-relevant Contours of the CP-asymmetry quantities such as log the 0 " e ective CP, as functions neutrino[bd, mass of the Mohapatra, em), RHN there mass arezhang only m N (NPB and the 7)] scalar mass two mfree H parameters in gaugedinu() the B e ective L model, theory, with i.e. em the= scalar 50 mev massand m H v(m R A = ) and 4 TeV the (left) e ective and 0 TeV (right). The Yukawa colored coupling regions f H(A) could in Eq. generate (2.). the observed lepton asymmetry and not falsified by the processes Bhupal Dev NN (Washington! H 3 U.) H 3, H 3 Z R, Z R Z R andlrnn Higgs! at Collider f f. The gray bands on the right and 03/3/207 at the top 44 / 45 m H3 [GeV] perturbative limit m H3 [GeV] perturbative limit

48 Conclusion light scalar in minimal left-right model neutral component from SU(2) R -triplet mixings to SM Higgs and flavor-changing heavy doublet are constrained to be small mostly decays into diphoton (through W R loop) long-lived particle ( 0. to 0 GeV) high intensity frontier SHiP: B KH 3, H 3 γγ high energy frontier LHC+MATHUSLA: LLP searches W R H 3W R, H 3 γγ Testing the seesaw mechanism via the LLP searches (can be generalized to other U() B L models) A new probe of the origin of neutrino mass mechanism Bhupal Dev (Washington U.) LR Higgs at Collider 03/3/ / 45