Higgs Boson Mass In GMSB with MessengerMatter Mixing

Higgs Boson Mass In GMSB with Messenger-Matter Mixing Abdelhamid Albaid Wichita State University BEACH 2012 July 23 -28, 2012

Outline v Higgs Boson in Standard Model v Interesting Features of SUSY v Shortcomings of SUSY v Features of GMSB v Higgs Mass Bounds in minimal GMSB v The Objectives

Outline v GMSB with Messenger-Matter Mixing v Improved Higgs Boson mass in v Froggatt-Nielsen Mechanism v Flavor Violation v Summary

Higgs Boson in the Standard Model

v Supersymmetry (SUSY) is a promising scenario to solve the gauge hierarchy problem

SUSY Spectrum ØThe minimal version of supersymmetry is MSSM

SUSY Solves the instability in the Higgs mass As a consequence of supersymmetry Quadratic divergence will cancel

Interesting Features of Supersymmetry Ø Gauge coupling unification MSSM GUT

v SU(5) GUT Model

Ø sets upper bound on the lightest Higgs mass < 130 Ge. V Ø has dark matter candidate Ø provides a natural mechanism for EWSB

Shortcomings of MSSM Ø Many new free parameters: about 105 free parameters Ø New source of flavor violation (FV) Experimental upper bound Ø The degeneracy of the scalar fermion mass solves SUSY flavor problem

Features of GMSB

Features of GMSB

Higgs Mass Bounds in minimal GMSB Observation of SM-like Higgs particle severely constrains minimal gauge mediation models Maximal Mixing Condition:

Higgs Mass Bounds in minimal GMSB

The Objectives To construct GMSB model with messenger-matter mixing Ø that raises the lightest Higgs mass to about 125 Ge. V Ø that leads to supersymmetric particles of around sub-Te. V. The above objectives should be consistent with Ø flavor violation processes are suppressed in agreement with experiment. Ø the gravitino has a cosmological preferred sub-ke. V mass.

GMSB with Messenger-Matter Mixing, Messenger scale

GMSB with Messenger-Matter Mixing,

GMSB with Messenger-Matter Mixing,

GMSB with Messenger-Matter Mixing,

Improved Higgs Boson mass in

Froggatt-Nielsen Mechanism Ø U(1) flavor symmetry is assumed. Ø there is a SM singlet “ flavon” field Ø U(1) is broken at high scale by Ø The hierarchy of fermion masses and mixings can be explained as a power expansion of

Froggatt-Nielsen Mechanism v Fermion mass hierarchy v Fermion mass mixing Agree with quark mixing angles Agree with neutrino mixing angles

Flavor Violation Ø Messenger matter mixing induces flavor violation Ø Additional couplings Ø Mass Insertion Parameters: The messenger-matter couplings reintroduce the flavor violation are generated by the exotic Yukawa couplings.

Summary v Higgs boson mass of order 125 Ge. V is naturally realized in GMSB with messenger matter mixing v Relatively light SUSY spectrum is obtained v FCNC processes are sufficiently suppressed in agreement with experiment