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### Probing the scalar sector with ZZH

Debajyoti Choudhury, Anindya Datta, Katri Huitu,

hep-ph/0302141

outline:

Introduction

Models:

higher representations

radion (nonSUSY/SUSY)

Conclusions

LCWS Amsterdam, Katri Huitu

Introduction

- Assume that EWSB due to Higgs mechanism
- Light scalars not taking part in the EWSB can mix with Higgs
- In extensions of the Standard Model new scalars and new representations- spontaneous CP violation, - supersymmetry, - left-right model, - gauge unification,...
- What can a detected set of scalars tell about the model?
- Related works: Burgess et al, IJMP A17(2002) 1841; Ellis et al, PLB 502 (2001) 171; Kane et al PRD 64 (2001) 095013; Ambrosanio et al NPB 624 (2002) 3.

LCWS Amsterdam, Katri Huitu

ZZH coupling

Lagrangian:

- gets contribution from any nonsinglet VEV
- ZZH coupling essential in production:or gauge boson fusionuse to separate between models

LCWS Amsterdam, Katri Huitu

E.g. SU(5) GUT

The SM fermions in

contain neutral scalars

doublets

Y=1 triplet

in minimal SU(5) problems with realistic spectrum need more representations

These contain singlets, triplets (Y=0,1), 4-plets (Y=3/2,1/2), 5-plets (Y=2,1,0)

LCWS Amsterdam, Katri Huitu

A strong constraint from the r-parameter,

experimentally r 1. We demand r= 1.

Parametrize the ZZH coupling:

C 1 BSM Physics

4 max (T3i2 ) C 4 min (T3i2 )

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- fermions of the SM couple to doublets
- Yt increases with decreasing v1/2:

Yt RGE:

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Triplets Added

Georgi, Machachek,NPB 262 (1985) 463.

Triplets(3,0) and (3,1)

1 < C < 4

fine tuning

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Fiveplets added

(5,0) and (5,1) enhance

(5,2) suppresses

(5,0) and (5,2):

1 < C < 16

(5,0) and (5,1):

1 < C < 12

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Higgs mixing with radions

Randall, Sundrum, PRL 83 (1999) 3370, 4690.

5-dim universe, compactify on S1 / Z2

visible

hidden

y=

y=0

- massless fields: hmngravitongmn
- rc modulus T(x)

T(x) has zero potential stabilize,

radion e-k(T-rc), m O(1 TeV)

Goldberger, Wise, PRL 83 (1999)4922, PLB475 (2000)275.

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Giudice, Rattazzi, Wells, NPB 595 (2001) 250;

Csaki, Graesser, Kribs, PRD 63 (2001) 065002.

Diagonalize

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Couplings to physical scalars (V=general gauge boson):

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Supersymmetric RS model

To make contact with the superstring theory, the RS model may need to be supersymmetrized.

Extra dimensions may be connected with the supersymmetry breaking method:

Stabilization e.g. AMSB possible.

Luty, Sundrum,

PRD 62 (2000) 035008

We consider

J.A. Casas, J.R. Espinosa, I. Navarro, NPB 620 (2002) 195

Supplement MSSM with a radion T and

dilaton S in the bulk (susy breaking along FS):

LCWS Amsterdam, Katri Huitu

Coupling to the singlet radion from the trace of stress-energy tensor:

Diagonalize H10,H20,t sum of the squares of scalar couplings (normalized to SM value):

LCWS Amsterdam, Katri Huitu

Conclusions

- Sum of the ZZH couplings can be an efficient separator between models
- For scalars in higher representations of SU(2)L, the parameter and perturbativity of the top Yukawa-coupling constrain C
- In higher dimensions, the Higgs-curvature mixing may effect C strongly

LCWS Amsterdam, Katri Huitu

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