On the two-loop Yukawa corrections to the MSSM Higgs boson masses at large tanβ

Abstract

We complete the effective potential calculation of the two-loop, top/bottom Yukawa corrections to the Higgs boson masses in the Minimal Supersymmetric Standard Model, by computing the O(α 2 t + α t α b + α 2 b ) contributions for arbitrary values of the bottom Yukawa coupling. We also compute the corrections to the minimization conditions of the effective potential at the same perturbative order. Our results extend the existing O(α 2 t ) calculation, and are relevant in regions of the parameter space corresponding to tan β ≫ 1. We extend to the Yukawa corrections a convenient renormalization scheme, previously proposed for the O(α b α s ) corrections, that avoids unphysically large threshold effects associated with the bottom mass and absorbs the bulk of the corrections into the one-loop expression. For large values of tan β, the new contributions can account for a variation of several GeV in the lightest Higgs boson mass.

Higgs mass determination in supersymmetry

“…The effort in the Higgs mass calculation has been remarkable, reaching the two-loop and in some cases the three-loop level, with different techniques and schemes, see e.g. [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26]. Some of the computations, however, are only valid for small SUSY breaking scales, where log-corrections do not need resummations; in fact currently available computer codes have a very limited range of applicability compared to the allowed parameter space.…”

Lepton flavor violation in low-scale seesaw models: SUSY and non-SUSY contributions

“…In the Higgs sector we include in addition the known 2-loop corrections to the Higgs mass from the MSSM [114][115][116][117][118][119]. However, this does not include 2-loop corrections stemming from the extended neutrino and sneutrino sectors, where we can have sizable Yukawa couplings.…”

Non-universal gaugino masses and fine tuning implications for SUSY searches in the MSSM and the GNMSSM

“…For our numerical analyses we use SPheno [40,41] created by SARAH [42][43][44][45]. This version performs a complete one-loop calculation of all SUSY and Higgs masses [46,47] and includes the dominant two-loop corrections for the scalar Higgs masses [48][49][50][51]. We have extended SPheno by incorporating routines to calculate the fine tuning as presented in [15].…”