On the two-loop corrections to the Higgs mass in trilinear R-parity violation

Herbi K Dreiner,Kilian Nickel,Florian Staub

doi:10.1016/j.physletb.2015.01.047

Herbi K Dreiner, Kilian Nickel + Show 1 more

Open Access

https://doi.org/10.1016/j.physletb.2015.01.047

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Abstract

We study the impact of large trilinear R-parity violating couplings on the lightest CP-even Higgs boson mass in supersymmetric models. We use the publicly available computer codes SARAH and SPheno to compute the leading two-loop corrections. We use the effective potential approach. For not too heavy third generation squarks (m˜≲1 TeV) and couplings close to the unitarity bound we find positive corrections up to a few GeV in the Higgs mass.

Highlights

On July 4th, 2012 the discovery of the Higgs boson was announced at CERN [1,2]
It predicts a wide range of observables at the Large Hadron Collider (LHC), for which the first run has finished; Run II is expected to start in the Spring, 2015
We study the impact of large LQDand U D Doperators involving stops and sbottoms on the lightest CP-even Higgs boson mass. (The effects of LLEare here completely negligible.) For this purpose we calculate two-loop Higgs masses in models beyond the MSSM, but with MSSM precision, with the public computer tools SARAH [42,43,44,45,46] and SPheno [47,48], as recently presented in [49]

Summary

Introduction

On July 4th, 2012 the discovery of the Higgs boson was announced at CERN [1,2]. It is not yet established whether this is the Standard Model (SM) Higgs boson [3,4,5]. In the SM the Higgs sector suffers from the hierarchy problem [6], to which supersymmetry (SUSY) [7,8] is the most obvious solution It predicts a wide range of observables at the Large Hadron Collider (LHC), for which the first run has finished; Run II is expected to start in the Spring, 2015. The observed mass of the Higgs boson, mhexp ≈ 125.7 GeV [32,33,34], is well within the allowed range for SUSY models, previously predicted by [35] Such large corrections typically require very large mixing in the stop sector and/or a very heavy stop squark. The additional operators contribute to the Higgs pole mass at the two-loop level.2 This effect might be large, especially when involving third generation squarks, and deserves to be investigated.

The MSSM extended by trilinear R-parity violation

Two-loop corrections from R-parity violating operators

Results

Conclusion