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

Abstract

We discuss various improvements of the prediction for the light MSSM Higgs boson mass in the hybrid framework of the public code $$\texttt {FeynHiggs}$$ FeynHiggs , which combines fixed-order and effective field theory results. First, we discuss the resummation of logarithmic contributions proportional to the bottom-Yukawa coupling including two-loop $$\Delta _b$$ Δ b resummation. For large $$\tan \beta $$ tan β , these improvements can lead to large upward shifts of the Higgs mass compared to the existing fixed-order calculations. Second, we improve the implemented EFT calculation by fully taking into account the effect of $$\mathcal{CP}$$ CP -violating phases. As a third improvement, we discuss the inclusion of partial $$\hbox {N}^3$$ N 3 LL resummation. The presented improvements will be implemented into $$\texttt {FeynHiggs}$$ FeynHiggs .

Hybrid calculation of the MSSM Higgs boson masses using the complex THDM as EFT

“…These two-loop fixed-order corrections are evaluated in the gaugeless limit and interpolated for non-vanishing phases (see [56] for details). As investigated in detail in [26] for the case of the SM as EFT, the resummation of corrections proportional to the bottom-Yukawa coupling beyond the order of the fixed-order calculation becomes relevant only for tan β 25 and negative μ. 2 After fixing the cTHDM parameters at M SUSY by matching to the full MSSM, we evolve the couplings down to the scale of the non-SM Higgs bosons, which we take to be the charged Higgs mass M H ± .…”

“…This results in corrections of the Higgsboson masses and mixings (see [5][6][7][8][9][10][11][12][13][14] for recent fixedorder calculations). • In the effective field theory (EFT) approach, all heavy particles are integrated out and the Higgs mass is then calculated in the low-energy EFT (see [15][16][17][18][19][20][21][22][23][24][25][26][27] for recent EFT calculations). • While the FO approach is precise for low but not for high SUSY-breaking mass scales (leading to light or heavy superpartner particles, respectively), it is vice versa for the EFT approach.…”

“…• While the FO approach is precise for low but not for high SUSY-breaking mass scales (leading to light or heavy superpartner particles, respectively), it is vice versa for the EFT approach. To obtain a precise prediction also for intermediary scale, hybrid approaches combining both approaches have been developed (see [15,21,25,26,[28][29][30][31][32][33][34][35][36]).…”

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

“…The matching scale is set to M SUSY . In the limit M A → M SUSY , we recover the threshold corrections given in [40]. Moreover, we check that the expressions agree with the ones presented in [80] after conversion to the MS scheme used in [45,80].…”

“…To fully exploit the experimental precision, the calculation of higher-order matching conditions is mandatory. Correspondingly, many efforts have been dedicated to derive the full one-loop [34][35][36][37] as well as partial two-loop [35][36][37][38][39][40] and three-loop [41] corrections in the simplest case of the SM as an EFT. Still, the remaining theoretical uncertainty is considered to be significantly higher than the experimental uncertainty [36-38, 42, 43].…”