Two Higgs Doublet Model: Past and Future

1. Two Higgs Doublet Model: Past and Future February 21, 2014, EWSB-Flavours-LHC @ Guwahati

2. 2HDM: Past & Future EWSB-Flavour-LHC • Intro:Flav H ➾ EWSB Soni; H+; Enhanced “Murky”; Top-Higgs • Let’s Do H+: b → sg(g) • “Murky Mode” @ 10%: b → ctn &b → sg ➥ B → D(*)tn; tn • FCNH: Model III & t → ch0 • LHC • Conclusion ➾ More on “Lost Opportunities” (from my past dabbles) and Good Pheno Link

3. The “God” Particle: the Origin of Mass Fermion: Repeated Doublets Higgs: Second Doublet Flavour Sector mF~lFυ Weinberg, 1967 mV~gυ (Agent of) EWSB B.E.H., 1964 VL“seen” since 1983

4. 2HDM Will focus on Flavour Connection p.s. parameters in Higgs sector always give me the shudders …

5. Thanks, Soni! WSH, Soni, Steger, b → sg PLB’87 WSH, Soni, Steger, b → sg* PRL’87 WSH, Soni, Bd & Bs Mixing PLB’87 WSH, Willey, Soni, b → sℓ+ℓ- PRL’87 4G Introduced me to B Physics. But I missed “large QCD corrections” by focusing too much on New Physcs… Bertolini, Borzumati, Masiero, PRL’87 Deshpande, Trampetic, Eilam, Singer, PRL’87 ➥ Operator Analysis: Culmination in M. Misiak!

6. Thanks, Soni! WSH, Soni, Steger, b → sg PLB’87 WSH, Soni, Steger, b → sg* PRL’87 WSH, Soni, Bd & Bs Mixing PLB’87 WSH, Willey, Soni, b → sℓ+ℓ- PRL’87 4G Introduced me to B Physics. Timelike Lightlike Spacelike

7. Before summer 1987, before moving from Pitt to Munich, saw this paper ... and said to Ray Willey, “We can easily do this, too.” b → sg Turned out they focus on large tanb … and missed a crucial sign. H+effect

8. Usual 2HDM Framework: NFC

9. H+ Couplings in Model I/II “SUSY” (mindset: ~ mt/mb)

10. • Ca. 1990: Bs.l. (semileptonic BR) and NC (charm counting) problem. Could there be Enhanced “Murky” Modes? ➥ Polish synergy: B → D(*)tn; B →tn • 1992: CDF bound of mt > 91 GeV Could top be still lighter? t → ch0 Non-NFC: Model III

11. 2HDM: Past & Future EWSB-Flavour-LHC • Intro:Flav H ➾ EWSB Soni; H+; Enhanced “Murky”; Top-Higgs • Let’s Do H+: b → sg(g) • “Murky Mode” @ 10%: b → ctn &b → sg ➥ B → D(*)tn; tn • FCNH: Model III & t → ch0 • LHC • Conclusion ➾ More on “Lost Opportunities” (from my past dabbles) and Good Pheno Link

12. Let’s Do H+: b → sg(g)

13. b → sg(g) logarithmic vs power GIM suppression in SM QCD corr. brings in large log

14. ξ2 = cot2b, ξξ′= ξ2(Model I), -1 (Model II) why does ξ′ enter? fig. stolen from Hermann, Misiak, Stenihauser

15. ξ2 = cot2b, ξξ′= ξ2(Model I), -1 (Model II) why does ξ′ enter? fig. stolen from Hermann, Misiak, Stenihauser

16. ξ2 = cot2b, ξξ′= ξ2(Model I), -1 (Model II) NNLO fig. stolen from Hermann, Misiak, Stenihauser, JHEP’12

17. State of the Art Hermann, Misiak, Stenihauser, JHEP’12 [1208.2788] Can be weakened by BSM Exp 1s SM 1s WSH & Willey NPB’89

18. “Murky Mode” @ 10%: b → ctn &b → sg ➥ B → D(*)tn; tn (mn

19. The Polish Connection/Synergy b → ctn part based on Krawczyk and Pokorski, PRL’88 SM ~ 3% ~ 0.2%

20. ca. 1991 Sol. 2: b → ctn @ 10% Sol. 1: b → sg @ 10% charm counting charm counting ~ SM ~ SM Great Pheno If True !

21. PLB’92 7 s-wave enhanced 5 3 Form Factors tr. long. scalar ➥ t polarization Flip Kalinowski, PLB’90

22. ALEPH Exclusion of b → ctn @ 10%; and then … b →tn + X = (4.08 ± 0.76 ± 0.62)% PLB’93 (2.75 ± 0.30 ± 0.37)% PLB’95 (2.43 ± 0.20 ± 0.25)% EPJC’01 ➙ SM-like, rule out enhanced b → ctn = (1.05 ± 18)% saturate inclusive (PDG’13) expected = (1.64 ± 15)% a crisp result: no new hadronic effect beyond fB within SM cf.

23. Crisp B →tn Surprise

24. anybody out there? cottage industry When First Evidence in 2006, citations soared. A Driver for Super B Factory

25. An Illustration towards 2015+ Stole from my own FPCP2012 Talk No serioussign of Godot in FPCP ... Roderjohann; Soni • Old Tensions: e.g. Or, But, B →mn almost touched by BaBar/Belle. Super B Factory (2015 for Belle 2) would unravel it “immediately”. Totally different systematics! Lüth Which One ? Hara Finally underway in my own group …

26. FCNH: Model III & t → ch0 11/1991 Became relevant recently at the LHC

27. 2HDM III: “Natural” FC Neutral Higgs 2HDM Framework: NFC FCNH from B Phys.

28. FCNH: t → ch0& Model III Thy Shall Not Mix 4G – 2HDM – FCNH ! “a3”

29. FCNH: t → ch0& Model III S/P S/P t → ch0/ t → bW* h0→ tc/ h0→ bb & tt 1% benchmark

30. Mass Pro-found if Found FCNH: verboten in SM & 2HDM I/II Glashow-Weinberg 1977 Outline • BaBar Anomaly,2HDM-III&tch0 Coupling • B Physics & H →ttConstraints • t→ch0Search at LHC c ► h0 ► ZZ* gg WW* t bb C.Kao talk Fajfer, Kamenik, Nisandzic, Zupan, PRL 2012 Crivellin, Greub, Kokulu, PRD 2012; 1303.5877 KCHS CHKK Kao,Cheng,WSH,Sayre,PLB 2012 Chen, WSH, Kao, Kohda, 1304.8037 CGK

31. BaBar “Anomaly” BaBar, PRL 2012 Very (too) Large!

32. CGK considered Decoupling Limit: SMH 2HDM-III (General) Yukawa Interactions Crivellin, Greub, Kokulu, PRD 2012 [we use notation of Mahmoudi and Stal, PRD 2010 “Standard” Exotic 23 To consider t→ch0: FCNH • Need Nondecoupling: h0 mixes in cos(b-a) frac. of H0 • Not only rbb, but rtt turn out small (next page)  deviate from CGK [left with mH+ pockets •rct ~ 1, implying rtt and rcc need be considered!

33. With Regrets, “detach” from BaBar anomaly B & H → tt Constraints mH+ pockets remain t→ch0Search at LHC How large can B(t → ch0) be? If rct~ 1, what constraint we have on cos(b-a) ? N.B. From stt(bar) measurement with dileptons, one infers B(t → ch) cannot be larger than few %.

34. Summary of Constained 2HDM-III rcc, rtt rct New Sector to be probed at the LHC

35. No Evidence of Excess Jets in ZZ* … ? Any tt(bar) → chbW? Illustration Simple CLs estimate gives (95% C.L.) B(t → ch) < 1.5% Is there bias even in ZZ*? 2.2% Best done directly by the Experiments ATLAS 4ℓ + 4j evt (backup) Craig et al., PRD 2012: < 2.7% (can improve) KCHS’12: Can probe down to 1%

36. Comments ∙ gg + 4j, gg + jj + ln : [gg in Higgs window] Because of background concerns, evts perhaps rejected by Dh (VBF)  Even the study of such BG may be interesting; b/t tags if found. ATLAS announced at Higgs Hunting, Orsay, week after EPS: t → cHgg< 0.83% at 95 C.L. ATLAS-CONF-2013-081 ∙ WW* + jets, WW* + jets + W : [no Higgs Mass] Astounding: % level bound year after Higgs discovery ! Can be Improved CMS announced at SUSY2013: t → chmult-ℓ< 1.28%at 95 C.L. CMS PAS-SUS-13-002

37. 2HDM H+ Search at LHC LHC Search has Started ! a BaBar-centric View Eli Ben-Haim @ EPSHEP2013

38. t → bH+Search at LHC ATLAS JHEP’12 CMS JHEP’12

39. t → bH+ & H+→ tb at LHC ATLAS-CONF-2013-081 entered H+→ tb t → bH+: getting there

40. finally getting there

41. Conclusion: 2HDM I, II & III BaBar throws in B → D(*)tn monkey wrench ➥ Rule out 2HDM II ? Haisch0805.2141 need Belle-II (2015+) B →tn b → sg FCNH t → ch0 Search Underway 2015+ Looks Bright finally getting there

43. Is “the Higgs” the Agent of BEH Mech.? Outline EWSB 12/2013 Dilaton : Goldstone boson of SSB of Scale Invariance

44. υ/F

45. How does Dilatonfake Higgs? H → ZZ* →eemm cg but, no convincing evidence for VBF (Vector Boson Fusion) or VH (Higgsstrahlung off V) so far Dilaton υ/F ➙ Check Dilaton 2015+ ! cgυ/F ~ SM Higgs cgcg~ SM Higgs Leading Processes cg cg fortuitous, maybe … Dilaton H →gg

46. B →tn Satus

47. Data-constrained 2HDM-III ~ SM Higgs →tt : rtt small b → sg : rbb tiny Nonperturb. rct needed With Regrets, “detach” from BaBar anomaly Because of chiral mt/mb and KM enhancement, rbb tiny! mH+ pockets remain

48. Example: Clean Sample of ZZ*→4ℓ Consistency of 15-20 evts ~ SM w/ little BG, for both CMS/ATLAS ~ 22 pb With 126 GeV dominantly SMH, i.e. sin(b-a) ≃ 1 (near Decoupling), ZZ* (and WW*) Rate hard to change. The width of 126 GeV Higgs can be enhanced by rcc as not measured. Gluon Fusioncan be enhanced by rtt, even though damped by cos(b-a). Cf.: stt(bar)~ 220 pb, if t → ch 2%, then tt(bar) → chbW is at 9 pb! Could we have seen it already!?

49. One ATLAS eemm + 4j Event! “Passed VBF Selection” Is there bias even in ZZ*? h = -2.20 h = 1.19 ATLAS-CONF-2013-013, (extra) Fig. 38 [thanks to Bill Murray is there a b?