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Heavy Meson Decay Constants to 1/mQ

We introduce the vector meson contributions in heavy-light chiral perturbation theory (HLCPT) and construct the Lagrangian and current to the order 1/mQ. With this, to the order (Λcsb is the chiral symmetry breaking scale) we calculate corrections to fD and fB arising from coupled-channel effects to the orders 1/mc, and 1/mb. At the tree level in HLCPT, using the relativistic Bethe–Salpeter (BS) equation with the kernel containing a confinement term and a gluon exchange term in a covariant generalization of the coulomb gauge we calculate and when mQ → ∞ as well as the 1/mQ corrections. HLCPT and the heavy quark effective theory (HQET) are matched at the scale Λcsb. Adding the perturbative and nonperturbative contributions we give the values for fD and fB, respectively. It is found that our result is in agreement with the relation fD = fB from lattice calculations.