We present a non-perturbative calculation of the form factors which contribute to the amplitudes for the radiative decays P → `ν¯`γ, where P is a pseudoscalar meson and ` is a charged lepton. Together with the non-perturbative determination of the virtual photon corrections to the processes P → `ν¯` , this will allow accurate predictions to be made at O(αem) 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-KobayashiMaskawa (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.

de Divitiis, G.M., Desiderio, A., Di Carlo, M., Frezzotti, R., Garofalo, M., Giusti, D., et al. (2020). Real photon emissions in leptonic decays. In Proceedings, 37th International Symposium on Lattice Field Theory (Lattice 2019). POS [10.22323/1.363.0198].

Real photon emissions in leptonic decays

G. M. de Divitiis;R. Frezzotti;N. Tantalo
2020

Abstract

We present a non-perturbative calculation of the form factors which contribute to the amplitudes for the radiative decays P → `ν¯`γ, where P is a pseudoscalar meson and ` is a charged lepton. Together with the non-perturbative determination of the virtual photon corrections to the processes P → `ν¯` , this will allow accurate predictions to be made at O(αem) 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-KobayashiMaskawa (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.
International Symposium on Lattice Field Theory - Lattice2019
Wuhan (China)
2019
37
Rilevanza internazionale
contributo
2019
Settore FIS/02
eng
High Energy Physics - Lattice; High Energy Physics - Phenomenology
http://arxiv.org/abs/1908.10160v1
Intervento a convegno
de Divitiis, G.M., Desiderio, A., Di Carlo, M., Frezzotti, R., Garofalo, M., Giusti, D., et al. (2020). Real photon emissions in leptonic decays. In Proceedings, 37th International Symposium on Lattice Field Theory (Lattice 2019). POS [10.22323/1.363.0198].
de Divitiis, Gm; Desiderio, A; Di Carlo, M; Frezzotti, R; Garofalo, M; Giusti, D; Hansen, M; Lubicz, V; Mazzetti, F; Martinelli, G; Sachrajda, Ct; Sanfilippo, F; Simula, S; Tantalo, N
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2108/238361
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