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Volume 363 - 37th International Symposium on Lattice Field Theory (LATTICE2019) - Main session
Radiative leptonic decays on the lattice
C. Kane, C. Lehner, S. Meinel,* A. Soni
*corresponding author
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Pre-published on: 2019 December 05
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Adding a hard photon to the final state of a leptonic pseudoscalar-meson decay lifts the helicity suppression and can provide sensitivity to a larger set of operators in the weak effective Hamiltonian. Furthermore, radiative leptonic $B$ decays at high photon energy are well suited to constrain the first inverse moment of the $B$-meson light-cone distribution amplitude, an important parameter in the theory of nonleptonic $B$ decays. We demonstrate that the calculation of radiative leptonic decays is possible using Euclidean lattice QCD, and present preliminary numerical results for $D_s^+ \to \ell^+ \nu\gamma$ and $K^- \to \ell^-\bar{\nu}\gamma$.
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