1. Soft-Photon Corrections to $\bar{B} \to D ��^{-} \bar��_��$ Relative to $\bar{B} \to D ��^{-} \bar��_��$
- Author
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de Boer, Stefan, Kitahara, Teppei, and Nisandzic, Ivan
- Subjects
High Energy Physics - Experiment (hep-ex) ,High Energy Physics - Phenomenology (hep-ph) ,High Energy Physics::Phenomenology ,FOS: Physical sciences ,High Energy Physics::Experiment - Abstract
We evaluate long-distance electromagnetic (QED) contributions to $\bar{B}{}^0 \to D^+ ��^{-} \bar��_��$ and $B^- \to D^0 ��^{-} \bar��_��$ relative to $\bar{B}{}^0 \to D^+ ��^{-} \bar��_��$ and $B^- \to D^0 ��^{-} \bar��_��$, respectively, in the standard model. We point out that the QED corrections to the ratios $R(D^{+})$ and $R(D^{0})$ are not negligible, contrary to the expectation that radiative corrections are almost canceled out in the ratio of the two branching fractions. The reason is that long-distance QED corrections depend on the masses and relative velocities of the daughter particles. We find that theoretical predictions for $R(D^{+})^{��/��}$ and $R(D^{0})^{��/��}$ can be amplified by $\sim4\%$ and $\sim3\%$, respectively, for the soft-photon energy cut in range $20$-$40$ MeV., 5 pages, 3 figures; v3: several minor modifications, references added, published version
- Published
- 2018
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