How to Modify the Higgs Mass and Couplings in Supersymmetry (with Technicolor) Spencer Chang University of Oregon ITP SUSY Mini-Workshop 2014

Work w/ Azatov, Craig, Galloway, Luty Talk Outline

Supersymmetry and Technicolor Combined

Induced Electroweak Symmetry Breaking: Higgs Mass and Naturalness Implications

Higgs, Techni-states Phenomenology

2 SUSY + Technicolor

+

Supersymmetry plus technicolor is an interesting combination Dimopoulos, Raby Dine, Fischler, Srednicki If technicolor initiates Simmons .... EWSB at a scale f << v, Azatov, Galloway, Luty can induce EWSB in .... elementary Higgs sector,

vu, vd >> f

3 Tadpole Couplings

V 4⇥f 3 Tr[( H H )] + c.c. d d u u

Ψ

Hu

Ψ f 4 Standard EWSB EWSB induced by via Mexican Hat linear tadpole

v v

Mechanism Standard Tadpole

Unstable/Stable Mass Term/Quartic Linear Term/ Mass Terms

Higgs Mass 2λv2 M2

5 SUSY (Un)Naturalness

Hu Hu† t

!

t

!

Hu Hu† H H† m u u m2 y4 ln t m2 y2m2 h t Hu t t mt e MSSM unnaturalness due to Higgs mass being log relatede to SUSY mass scale In MSSM + TC Higgs mass gains linear dependence on SUSY scale due to properties of induced EWSB

6 Higgs Phenomenology

42⌅f 3(⇤ cos + ⇤ sin ) ⇥m2 = d u h 2 2 vu + vd

mh 10 Can substantially increase for e.g. 8 Higgs mass 125 GeV 6 b

130 tan With ~ O(.1) and f ~ 80 GeV 4 125 can get m = 125 GeV without 2 120 h 115 110 105 radiative corrections 110 0 200 400 600 800 1000 mA 7 Couplings

New couplings allow further modifications beyond type-II 2HDM as well

8 (Non)Decoupling

3 2 2 8⇤2f (⇥u cos +⇥d sin ) mH + mh 2 2 sin 2 sin 2⇥vu+vd = sin 2⇥ m2 m2 H h

Decoupling limit of MSSM, when mH →∞ sets -=/2, where h0 has SM couplings

New term allows decoupling limit for gauge bosons, but decouples slower for fermion couplings which can be enhanced or suppressed

9 Higgs phenomenology Two benchmarks

Lighter Higgs fixed to 125 GeV, mA allowed to vary

a Blue , cb Red , ct Green a Blue , cb Red , ct Green 1.4 1.4 1.2 WW/ZZ 1.2 1.0 H L H L H L 1.0 H L H L H L 0.8 b¯b/¯ 0.8 0.6 0.6 0.4 tt¯ 0.4 0.2 0.2 0.0 0.0 0 200 400 600 800 1000 0 200 400 600 800 1000 mA mA Moderate tan Largish tan

Notice delayed decoupling limit for bottom quark coupling in right benchmark 10 Higgs pheno (cont.)

BR BRSM: bb tt Solid , gg Dashed , WW ZZ Dotted BR BRSM: bb tt Solid , gg Dashed , WW ZZ Dotted 2.5 1.4 1.2 2.0 ê ê H L H L ê H L ê ê H L H L ê H L 1.0 ¯ bb/¯ 1.5 0.8 0.6 1.0 0.4 0.5 0.2 WW/ZZ 0.0 0.0 200 400 600 800 1000 200 400 600 800 1000 mA mA Moderate tan Largish tan

Production largely unaffected However, branching ratios to gauge bosons can be enhanced due to reduction in fermion width 11 Pseudoscalars

Pseudoscalar phenomenology is particularly interesting

There are pseudos from MSSM Higgs as well as technicolor would-be goldstones

12 Pseudoscalars

Pseudoscalar Masses Technipion Fraction 1000 1.0 800 0.8 600 0.6 400 0.4 200 0.2 0 0.0 0 200 400 600 800 1000 0 200 400 600 800 1000 mA mA

Decoupling limit, decouples MSSM pseudoscalar

Techni-pseudo still mixes at order f/v since mass eigenstate is orthogonal to true goldstone

13 Pseudoscalar phenomenology same two benchmarks

A1 s*BR pb to tt solid , tt dashed , Zh dotted A1 s*BR pb to tt solid , tt dashed , Zh dotted 10 10 CMS 1 H L H L H L H L ¯ 1 H L H L H L H L

0.1 Zh 0.1

0.01 tt¯ 0.01

0.001 0.001 200 400 600 800 1000 200 400 600 800 1000 mA Two mA A2 s*BR pb to tt solid , tt dashed , Zh dotted A2 s*BR pb to tt solid , tt dashed , Zh dotted 10 CP-odd 10 CMS tt H L H L H L H L 1 H L H L H L H L scalars 1

0.1 0.1 Interesting 0.01 0.01 Modes 0.001 0.001 200 400 600 800 1000 tt, Zh 200 400 600 800 1000 mA mA 14 Techni-pheno

Techni-states are an efficient way to produce techni-pseudos (albeit UV model dependent)

We model techni-rho production ala Falkowski, Grojean, et.al.

Interestingly, techni-rho couplings to SM are through mixing with W, Z, which does not explicitly depend on f

15 New Parameter space

+ + + Light mass range r s*BR pb to W Z solid , H 1 A1 dashed 1.0 of techni-hadrons is 0.8 motivated in these H L H L H L 0.6 CMS WZ scenarios 0.4

0.2 Standard WZ 0.0 400 500 600 700 800 900 1000 resonance search mr may not be sufficient

Leads to longer cascades, e.g. + H+,A W +h, Zh 1 1 16 Conclusion

Higgs mass and couplings can be changed in a SUSY+Technicolor hybrid model

Can help to address fine tuning in SUSY and broaden allowed Higgs couplings

17 Conclusion (cont.)

Higgs, pseudoscalars and techni-hadron phenomenology have rich structure and are worth looking for!

18 Looking forward to LHC Run 2!

19 Thanks!!!!

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