Beyond the MSSM Higgs with [formula omitted] effective operators

I Antoniadis,E Dudas,D.M Ghilencea,P Tziveloglou

doi:10.1016/j.nuclphysb.2011.02.005

Abstract

We continue the previous study of the MSSM Higgs Lagrangian extended by all effective operators of dimension d = 6 that can be present beyond the MSSM, consistent with its symmetries. By supersymmetry, such operators also extend the neutralino and chargino sectors, and the corresponding component fields Lagrangian is computed onshell. The corrections to the neutralino and chargino masses, due to these operators, are computed analytically in function of the MSSM corresponding values. For individual operators, the corrections are small, of a few GeV for the constrained MSSM (CMSSM) viable parameter space. We investigate the correction to the lightest Higgs mass, which receives, from individual operators, a supersymmetric correction of up to 4 (6) GeV above the 2-loop leading-log CMSSM value, from those CMSSM phase space points with: EW fine tuning Δ < 200 , consistent with WMAP relic density (3 σ), and for a scale of the operators of M = 10 ( 8 ) TeV , respectively. Applied to the CMSSM point of minimal fine tuning ( Δ = 18 ), such increase gives an upper limit m h = 120 ( 122 ) ± 2 GeV , respectively. The increase of m h from individual operators can be larger ( ∼ 10 – 30 GeV ) for those CMSSM phase space points with Δ > 200 ; these can now be phenomenologically viable, with reduced Δ, and this includes those points that would have otherwise violated the LEP2 bound by this value. The neutralino/chargino Lagrangian extended by the effective operators can be used in studies of dark matter relic density within extensions of the MSSM, by implementing it in public codes like micrOMEGAs.

Highlights

We continue a previous study of the MSSM Higgs Lagrangian extended by all effective operators of dimension d = 6 that can be present beyond the MSSM, consistent with its symmetries
Ignoring the d = 5 operator, the d = 6 operators could indicate that the MSSM Higgs, and, by supersymmetry, neutralino sector, are stable under ”new physics” corrections, since these are strongly suppressed, by ∼ 1/M 2 (M is the scale of new physics)
In this paper we considered the extension of the MSSM Higgs sector by all possible effective operators of dimension-five and dimension-six, allowed by the MSSM symmetries

Summary

E-mail addresses

As a first step in this direction, in this work we compute in component fields, for the first time, the most general extension of the MSSM Lagrangian in the neutralino and chargino sectors extended by all allowed d = 5 and d = 6 effective operators. Similar formulae exist for the heavier neutral Higgs mass m2H , and pseudoscalar m2A With these corrections one can examine the effect of combined dark matter and EW constraints on the scale of new physics that may be present in the MSSM. The chargino mass corrections in order 1/M 2 are presented in Appendix C and can be useful for phenomenological studies, in a global fit of MSSM with effective operators

Phenomenological implications

Conclusions