${B^0} - {{\bar B}^0}$ mixing in supersymmetry with gauged baryon and lepton numbers

Abstract

We perform an analysis on ${B^0} - {{\bar B}^0}$ mixing in the extension of the minimal supersymmetric standard model where baryon and lepton numbers are local gauge symmetries (BLMSSM) by using the effective Hamiltonian method. And the constraint of a 125 GeV Higgs to the parameter space has also been consid-ered. The numerical results indicate that the contributions of the extra particles can be sizeable in ${B^0} - {{\bar B}^0}$ mixing. For certain parameter sets, the theoretical prediction of mass differences $\Delta m_{B}$ agrees with the current experimental result. Furthermore, ${B^0} - {{\bar B}^0}$ mixing in the BLMSSM can preliminarily constrain the parameter space. With the development of more precise theoretical analysis and experimental determina-tions, the ${B^0} - {{\bar B}^0}$ mixing in the BLMSSM will have a clearer picture and the parameter space in this model will also be further constrained.