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Strong Phases and Factorization for Color Suppressed Decays

Sonny Mantry·Dan Pirjol·Iain W. Stewart
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Abstract

We prove a factorization theorem in QCD for the color suppressed decays B0-> D0 M0 and B0-> D*0 M0 where M is a light meson. Both the color-suppressed and W-exchange/annihilation amplitudes contribute at lowest order in LambdaQCD/Q where Q={mb, mc, Epi}, so no power suppression of annihilation contributions is found. A new mechanism is given for generating non-perturbative strong phases in the factorization framework. Model independent predictions that follow from our results include the equality of the B0 -> D0 M0 and B0 -> D*0 M0 rates, and equality of non-perturbative strong phases between isospin amplitudes, delta(DM) = delta(D*M). Relations between amplitudes and phases for M=pi,rho are also derived. These results do not follow from large Nc factorization with heavy quark symmetry.

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Sonny Mantry, Dan Pirjol, Iain W. Stewart. 2003-07-11. Strong Phases and Factorization for Color Suppressed Decays. https://doi.org/10.1103/physrevd.68.114009

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