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arxiv: 1111.5891 · v1 · submitted 2011-11-25 · ✦ hep-lat · hep-ph

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Chiral expansion for lattice computations of B⁺ to D⁰K⁺ (π⁺) and B⁺ to Dbar⁰ K⁺ (π⁺) amplitudes

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classification ✦ hep-lat hep-ph
keywords amplitudeschiraldbarexpansionlatticenonleptonicpartsreal
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In this work, we suggest that hard-pion chiral perturbation theory may be applicable to the real parts of nonleptonic B^{+} to D^{0}P^{+} and B^{+} to Dbar^{0}P^{+} (P=K,pi) decay amplitudes. These amplitudes play an important role in the extraction of the angle gamma in the b-d unitarity triangle of the CKM matrix, and their real parts can be computed using lattice QCD. We construct the leading-order operator in the chiral expansion for these nonleptonic decays, and discuss the generic features of the next-to-leading-order terms.

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