Two-loop scalar self-energies and pole masses in a general renormalizable theory with massless gauge bosons

Abstract

I present the two-loop self-energy functions for scalar bosons in a general renormalizable theory, within the approximation that vector bosons are treated as massless or equivalently that gauge symmetries are unbroken. This enables the computation of the two-loop physical pole masses of scalar particles in that approximation. The calculations are done simultaneously in the massindependent MS, DR, and DR ′ renormalization schemes, and with arbitrary covariant gauge fixing.As an example, I present the two-loop SUSYQCD corrections to squark masses, which can increase the known one-loop results by of order one percent. More generally, it is now straightforward to implement all two-loop sfermion pole mass computations in supersymmetry using the results given here, neglecting only the electroweak vector boson masses compared to the superpartner masses in the two-loop parts. Contents

The inclusion of two-loop SUSYQCD corrections to gluino and squark pole masses in the minimal and next-to-minimal supersymmetric standard model: SOFTSUSY3.7

“…3a, the plot does not extend to larger values of m 0 /M 1/2 , because there is no phenomenologically acceptable electroweak symmetry breaking there (the superpotential µ term becomes imaginary at the minimum of the potential, indicating a saddle point). The rough size of the two-loop correction is consistent with that estimated in the previous literature [11,12,13]. Note that there are wiggles in theg,t 1 , andt 2 curves, near m 0 /M 1/2 = 1.35, 2.9, and 1.9, respectively.…”

“…In both cases, the results were obtained in the DR ′ renormalization scheme [14], consistent with the renormalization group equations used in softly broken supersymmetric models. The version of SOFTSUSY described here now contains these computations [11,12]. A library for computing two-loop self-energy integrals, TSIL [15], is included within the SOFTSUSY distribution; there is no need to download it separately.…”

Supersymmetric and non-supersymmetric models without catastrophic Goldstone bosons

“…Instead, in [36] a general procedure was developed to cure this problem in two-loop Higgs mass calculations, based on setting the Goldstone boson propagators on-shell, which provided a complete set of modified loop functions for the tadpoles and self-energies that were finite. Thus, combining the results of [36] with those of [37][38][39][40] which provide fully generic expressions for the two-loop corrections to real scalar masses in supersymmetric and nonsupersymmetric models, all ingredients are present to calculate Higgs masses in any renormalisable model.…”

Precise prediction for the Higgs-boson masses in the $$\mu \nu $$ μ ν SSM

“…These corrections, together with a resummation of leading and subleading logarithms from the top/scalar top sector [40] (see also [41,42] for more details on this type of approach), a resummation of leading contributions from the bottom/scalar bottom sector [38,39,[43][44][45][46] (see also [47,48]) and momentum-dependent two-loop contributions [49,50] (see also [51]) are included in the public code FeynHiggs [32,40,[52][53][54][55][56][57][58]. A (nearly) full two-loop EP calculation, including even the leading three-loop corrections, has also been published [59,60], which is, however, not publicly available as a computer code. Furthermore, another leading three-loop calculation of O(α t α 2 s ), depending on the various SUSY mass hierarchies, has been performed [61,62], resulting in the code H3m and is now available as a stand-alone code [63].…”