Studying of B_s^0-\bar{B}_s^0 mixing and B_{s}\to K^{(*)-}K^{(*)+} decays within supersymmetry

TL;DR

This paper investigates how supersymmetry, particularly gluino-mediated effects, could influence B_s meson mixing and decay processes, potentially explaining recent experimental hints of large CP asymmetry beyond Standard Model expectations.

Contribution

It provides a detailed calculation of supersymmetric contributions to B_s mixing and decay observables using the mass insertion approximation, highlighting the potential significance of LR insertions.

Findings

Constrained LL and RR insertions have small effects on B_s decays due to lack of gluino mass enhancement.

LR insertions can significantly affect B_s decay observables, sensitive to their modulus and phase.

Future experiments can test these supersymmetric effects and constrain the parameter space.

Abstract

Recent results from CDF and D{\O} collaborations favor a large CP asymmetry in B_s^0-\bar{B}_s^0 mixing, while the standard model prediction is very small. Such a large phase may imply sizable new physics effects in B_s^0-\bar{B}_s^0 mixing. We compute the gluino-mediated supersymmetry contributions to B_s^0-\bar{B}_s^0 mixing, B_s->K^{(*)-}K^{(*)+} and B->X_s\gamma decays in the frame of the mass insertion approximation. Combining the constraints of \DeltaM_s, \Delta\Gamma_s, \phi^{J/\psi\phi}_s, B(B_s->K^{-}K^{+}) and B(B->X_s \gamma), we find that the effects of the constrained LL and RR insertions in B_s->K^{(*)-}K^{(*)+} decays are small because of the absence of gluino mass enhancement. For m^2_{\tilde{g}}/m^2_{\tilde{q}}=9, the constrained LR insertion can provide sizable contributions to all observables of B_s->K^{(*)-}K^{(*)+} decays except A^{dir}_{CP}(B_s->K^{-}K^{+}), and many observables are sensitive to the modulus and the phase of the LR insertion parameter. Near future experiments at Fermilab Tevatron and CERN LHC-b can test these predictions and shrink/reveal the mass insertion parameter spaces.