Analysis of $B_s\to \phi\mu^+\mu^-$ decay within supersymmetry

TL;DR

This paper investigates how supersymmetry could influence the decay process $B_s o \phi\mu^+\mu^-$, analyzing experimental data to constrain supersymmetric couplings and identify potential signals at the LHC.

Contribution

The study provides new bounds on supersymmetric couplings using recent experimental limits and explores their effects on decay observables within the MSSM framework.

Findings

Experimental limits tighten bounds on sneutrino exchange couplings.

Decay asymmetries are highly sensitive to squark exchange contributions.

Results aid in guiding supersymmetric searches at the LHC.

Abstract

Motivated by the first measurement on $\mathcal{B}(B_s\to\phi \mu^+\mu^-)$ by the CDF Collaboration, we study the supersymmetric effects in semi-leptonic $B_s\to\phi\mu^+\mu^-$ decay. In our evaluations, we analyze the dependences of the dimuon invariant mass spectrum and the forward-backward asymmetry on relevant supersymmetric couplings in the MSSM with and without R-parity. The analyses show the new experimental upper limits of $\mathcal{B}(B_s\to\mu^+\mu^-)$ from the LHCb Collaboration could further improve the bounds on sneutrino exchange couplings and $(\delta^u_{LL})_{23}$ as well as $(\delta^d_{LL,RR})_{23}$ mass insertion couplings. In addition, within the allowed ranges of relevant couplings under the constraints from $\mathcal{B}(B_s\to\phi \mu^+\mu^-)$, $\mathcal{B}(B\to K^{(*)}\mu^+\mu^-)$ and $\mathcal{B}(B_s\to \mu^+\mu^-)$, the dimuon forward-backward asymmetry and the differential dimuon forward-backward asymmetry of $B_s\to\phi\mu^+\mu^-$ are highly sensitive to the squark exchange contribution and the $(\delta^u_{LL})_{23}$ mass insertion contribution. The results obtained in this work will be very useful in searching supersymmetric signal at the LHC.