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Factorization theorems, effective field theory, and nonleptonic heavy meson decays

Factorization theorems, effective field theory, and nonleptonic heavy meson decays

The nonleptonic heavy meson decays $B\ensuremath{\rightarrow}{D}^{(*)}\ensuremath{\pi}(\ensuremath{\rho}), J/\ensuremath{\psi}{K}^{(*)}$, and $D\ensuremath{\rightarrow}{K}^{(*)}\ensuremath{\pi}$ are studied based on the three-scale perturbative QCD factorization theorem developed recently. In this formalism the Bauer-Stech-Wirbel parameters ${a}_{1}$ and ${a}_{2}$ are treated as the Wilson coefficients, whose evolution from the $W$ boson mass down to the characteristic scale of the …