We present a non-perturbative calculation of the form factors which contribute to the amplitudes for the radiative decays $P o ell ar u_ell gamma$, where $P$ is a pseudoscalar meson and $ell$ is a charged lepton. Together with the non-perturbative determination of the virtual photon corrections to the processes $P o ell ar u_ell$, this will allow accurate predictions to be made at $O(alpha_em)$ for leptonic decay rates for pseudoscalar mesons ranging from the pion to the $B$ meson. We are able to separate unambiguously the point-like contribution, the square of which leads to the infrared divergence in the decay rate, from the structure dependent, infrared-safe, terms in the amplitude. The fully non-perturbative, $O(a)$ improved calculation of the inclusive leptonic decay rates will lead to significantly improved precision in the determination of the corresponding Cabibbo-Kobayashi-Maskawa (CKM) matrix elements. Precise predictions for the emission of a hard photon are also very interesting, especially for the decays of heavy $D$ and $B$ mesons for which currently only model-dependent predictions are available to compare with existing experimental data.
Real photon emissions in leptonic decays / de Divitiis, G. M.; Desiderio, A.; Di Carlo, M.; Frezzotti, R.; Garofalo, M.; Giusti, D.; Hansen, M.; Lubicz, V.; Mazzetti, F.; Martinelli, G.; Sachrajda, C. T.; Sanfilippo, F.; Simula, S.; Tantalo, N.. - In: POS PROCEEDINGS OF SCIENCE. - ISSN 1824-8039. - (2019). (Intervento presentato al convegno 37th International Symposium on Lattice Field Theory, LATTICE2019 tenutosi a Wuhan; China).
Real photon emissions in leptonic decays
M. Di Carlo;M. Hansen;G. Martinelli;N. Tantalo
2019
Abstract
We present a non-perturbative calculation of the form factors which contribute to the amplitudes for the radiative decays $P o ell ar u_ell gamma$, where $P$ is a pseudoscalar meson and $ell$ is a charged lepton. Together with the non-perturbative determination of the virtual photon corrections to the processes $P o ell ar u_ell$, this will allow accurate predictions to be made at $O(alpha_em)$ for leptonic decay rates for pseudoscalar mesons ranging from the pion to the $B$ meson. We are able to separate unambiguously the point-like contribution, the square of which leads to the infrared divergence in the decay rate, from the structure dependent, infrared-safe, terms in the amplitude. The fully non-perturbative, $O(a)$ improved calculation of the inclusive leptonic decay rates will lead to significantly improved precision in the determination of the corresponding Cabibbo-Kobayashi-Maskawa (CKM) matrix elements. Precise predictions for the emission of a hard photon are also very interesting, especially for the decays of heavy $D$ and $B$ mesons for which currently only model-dependent predictions are available to compare with existing experimental data.File | Dimensione | Formato | |
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