Abstract
We compute the two-loop QCD corrections to the neutral Higgs-boson masses in the Minimal Supersymmetric Standard Model, including the effect of non-vanishing external momenta in the self-energies. We obtain corrections of {mathcal {O}}(alpha _{t}alpha _{s}) and {mathcal {O}}(alpha alpha _{s}), i.e., all two-loop corrections that involve the strong gauge coupling when the only non-vanishing Yukawa coupling is the top one. We adopt either the overline{mathrm{DR}} renormalization scheme or a mixed on-shell (OS)–overline{mathrm{DR}} scheme where the top/stop parameters are renormalized on-shell. We compare our results with those of earlier calculations, pointing out an inconsistency in a recent result obtained in the mixed OS–overline{mathrm{DR}} scheme. The numerical impact of the new corrections on the prediction for the lightest-scalar mass is moderate, but already comparable to the accuracy of the Higgs-mass measurement at the Large Hadron Collider.
Highlights
The accuracy of the measurement of the Higgs-boson mass by the ATLAS and CMS collaborations at the Large Hadron Collider (LHC) has already reached the level of 300– 400 MeV [1,2] and, being still dominated by statistics, is bound to improve further when the LHC restarts operations in 2015
In this paper we present a new calculation of the momentum-dependent part of the two-loop corrections to the neutral Higgs masses of O(αt αs), i.e. those involving both the top Yukawa coupling and the strong gauge coupling
We focus on six benchmark scenarios introduced in Ref. [77], which identify regions in the Minimal Supersymmetric Standard Model (MSSM) parameter space compatible with the current bounds from SUSY-particle searches and with the requirement that the predicted value of mh agrees, within the theoretical uncertainty of ±3 GeV estimated in Refs. [78,79], with the mass of the Standard Model (SM)-like Higgs boson discovered at the LHC.6
Summary
The accuracy of the measurement of the Higgs-boson mass by the ATLAS and CMS collaborations at the Large Hadron Collider (LHC) has already reached the level of 300– 400 MeV [1,2] and, being still dominated by statistics, is bound to improve further when the LHC restarts operations in 2015. This puts new emphasis on the need for highprecision calculations in those extensions of the Standard Model (SM), such as the Minimal Supersymmetric Standard Model (MSSM), in which the Higgs-boson mass can be predicted as a function of other physical observables. Similar abuses of notation affect the other one- and two-loop corrections
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