QCD Sum Rules for The Double Ratio $(f_{B_s}/f_{B_d}) /(f_{D_s}/f_{D_d})$ in HQET

Abstract

The double ratio $(f_{B_s}/f_{B_d})/(f_{D_s}/f_{D_d})$ is calculated by QCD sum rules in heavy quark effective theory (HQET), both numerically and analytically. Our expression for the double ratio shows explicitly the dependence on the light quark masses, the heavy quark symmetry breaking and the vacuum condensates. The numerical result favors the double ratio to be a little greater than 1.