Improved MSSM Higgs mass calculation using the 3-loop FlexibleEFTHiggs approach including xt-resummation

Abstract

We present an improved calculation of the light CP-even Higgs boson pole mass in the MSSM based on the FlexibleEFTHiggs hybrid method. The calculation resums large logarithms to all orders and includes power-suppressed terms at fixed order. It uses stateof-the-art 2-and 3-loop matching of the quartic Higgs coupling and renormalization group running up to 4-loop, resulting in a resummation of large logarithmic corrections up to N 3 LL level. A conceptually novel ingredient is the expansion of the matching conditions in terms of high-scale MSSM parameters instead of SM parameters. In this way leading QCD-enhanced terms in the stop-mixing parameter are effectively resummed, leading to an improved numerical convergence of the perturbative expansion. Furthermore, the avoidance of double counting of loop corrections is more transparent than in other approaches and more independent of the high-scale model. We present numerical results and a detailed discussion of theoretical uncertainties for standard benchmark scenarios.

The light MSSM Higgs boson mass for large $$\tan \beta $$ and complex input parameters

“…23 Below we outline the method and derive the general formulas for the one-and two-loop threshold corrections to λ in the gaugeless limit. Similar methods can be found in [14,30].…”

“…All other couplings of the EFT below the SUSY scale are also real-valued. 30 The only exception are the mass parameters of the EWinos for the case of light EWinos. The phases of these parameters become relevant if the EWinos are integrated out at the EWino mass scale, M χ = √ |M 2 ||μ|, and the SM is recovered as EFT.…”

“…31 The threshold corrections of the top and bottom Yukawa couplings originate only from the corrections to the external Higgs leg. They read 30 The CKM phase is neglected here.…”

“…In order to obtain a precise prediction for the SMlike Higgs boson mass for low, intermediary as well as high SUSY scales, both approaches -the fixed-order and the EFT approach -can be combined. Such hybrid approaches have been developed in [5,17,[22][23][24][25][26][27][28][29][30].…”

Two-loop matching of renormalizable operators: general considerations and applications

“…The terms containing partial derivatives arise through the reparametrization of the EFT amplitudes in terms of HET couplings. While this reparametrization is always possible, expressing the HET amplitudes in terms of EFT couplings is not always possible (see [33] for an extensive discussion on the parameterization of threshold corrections). Finally, note that the expressions given by eq.…”