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Updated Constraints from B Physics on the MSSM and the NMSSM

Florian Domingo, Ulrich Ellwanger

TL;DR

The paper revisits B-physics constraints on MSSM and NMSSM parameter spaces, incorporating updated SM predictions, radiative corrections, and LEP Higgs constraints. It develops a detailed, code-based framework for computing BR$(\bar{B} \to X_s \gamma)$, $\Delta M_s$, $\Delta M_d$, BR$(\bar{B}_s \to \mu^+ \mu^-)$, and BR$(\bar{B}^+ \to \tau^+ \nu_\tau)$, including NMSSM-specific features such as a light CP-odd Higgs $A_1$ and Breit–Wigner propagators for light scalars, and integrates these with NMSSMTools. The main results show that NMSSM contributions to BR$(\bar{B} \to X_s \gamma)$ are numerically negligible, while BR$(\bar{B}_s \to \mu^+ \mu^-)$ and double penguin effects can constrain large $\tan\beta$ and light Higgs sectors, particularly in the NMSSM A1 scenario. The work delivers a public Fortran code to enable combined B-physics and LEP Higgs constraint analyses and highlights the continued role of B-physics in probing supersymmetric parameter spaces and Higgs sectors.

Abstract

We update constraints from B physics observables on the parameters of the MSSM and the NMSSM, combining them with LEP constraints. Presently available SM and Susy radiative corrections are included in the calculations, which will be made public in the form of a Fortran code. Results for the tan(beta) and M_{H^+} dependence of b -> s gamma are presented, as well as constraints on the NMSSM specific case of a light CP odd Higgs scalar. We find that the latter are essentially due to B_s -> mu^+ mu^-, but they do not exclude this possibility.

Updated Constraints from B Physics on the MSSM and the NMSSM

TL;DR

The paper revisits B-physics constraints on MSSM and NMSSM parameter spaces, incorporating updated SM predictions, radiative corrections, and LEP Higgs constraints. It develops a detailed, code-based framework for computing BR, , , BR, and BR, including NMSSM-specific features such as a light CP-odd Higgs and Breit–Wigner propagators for light scalars, and integrates these with NMSSMTools. The main results show that NMSSM contributions to BR are numerically negligible, while BR and double penguin effects can constrain large and light Higgs sectors, particularly in the NMSSM A1 scenario. The work delivers a public Fortran code to enable combined B-physics and LEP Higgs constraint analyses and highlights the continued role of B-physics in probing supersymmetric parameter spaces and Higgs sectors.

Abstract

We update constraints from B physics observables on the parameters of the MSSM and the NMSSM, combining them with LEP constraints. Presently available SM and Susy radiative corrections are included in the calculations, which will be made public in the form of a Fortran code. Results for the tan(beta) and M_{H^+} dependence of b -> s gamma are presented, as well as constraints on the NMSSM specific case of a light CP odd Higgs scalar. We find that the latter are essentially due to B_s -> mu^+ mu^-, but they do not exclude this possibility.

Paper Structure

This paper contains 6 sections, 27 equations, 10 figures.

Table of Contents

  1. Introduction
  2. Computation of $BR(\bar{B} \to X_s \gamma)$
  3. $\Delta M_{q}$, $BR(\bar{B}_s \to \mu^+ \mu^-)$ and $BR(\bar{B}^+ \to \tau^+ \nu_\tau)$
  4. Results for $BR(\bar{B} \to X_s \gamma)$ in the MSSM and the NMSSM
  5. Constraints from $BR(\bar{B} \to X_s \gamma)$, $BR(\bar{B}_s \to \mu^+ \mu^-),$ $\Delta M_{q}$, and $BR(\bar{B}^+ \to \tau^+ \nu_\tau)$ in the MSSM and the NMSSM
  6. Summary and Outlook

Figures (10)

  • Figure 1: $BR(B\rightarrow X_s \gamma)$ as a function of the charged Higgs mass, for $\tan\beta=5$, $A_t=\pm2500$ GeV. The green lines represent the experimental $1\sigma$ bounds.
  • Figure 2: $BR(B\rightarrow X_s \gamma)$ as a function of the charged Higgs mass, for $\tan\beta=2.2$, $A_t=\pm 2500$ GeV. The green lines represent the experimental $1\sigma$ bounds.
  • Figure 3: $BR(B\rightarrow X_s \gamma)$ as a function of $\tan\beta$, for $M_{H^+}=300$ GeV and various values of $A_t$
  • Figure 4: $BR(B\rightarrow X_s \gamma)$ as a function of $\tan\beta$, for $M_{H^+}=1$ TeV and various values of $A_t$.
  • Figure 5: Constraints in the $\tan\beta$-$M_{H^+}$ plane for $A_t=2500$ GeV.
  • ...and 5 more figures