We demonstrate that the leading and next-to-leading finite-volume effects in the evaluation of leptonic decay widths of pseudoscalar mesons at O(alpha) are universal; i.e. they are independent of the structure of the meson. This is analogous to a similar result for the spectrum but with some fundamental differences, most notably the presence of infrared divergences in decay amplitudes. The leading nonuniversal, structure-dependent terms are of O(1/L-2 ) [compared to the O(1/L-3 ) leading nonuniversal corrections in the spectrum]. We calculate the universal finite-volume effects, which requires an extension of previously developed techniques to include a dependence on an external three-momentum ( in our case, the momentum of the final-state lepton). The result can be included in the strategy proposed in Ref. [N. Carrasco et al., Phys. Rev. D 91, 074506 ( 2015).] for using lattice simulations to compute the decay widths at O(alpha), with the remaining finite-volume effects starting at order O(1/L-2 ). The methods developed in this paper can be generalized to other decay processes, most notably to semileptonic decays, and hence open the possibility of a new era in precision flavor physics.

Lubicz, V., Martinelli, G., Sachrajda, C.t., Sanfilippo, F., Simula, S., Tantalo, N. (2017). Finite-volume QED corrections to decay amplitudes in lattice QCD. PHYSICAL REVIEW D, 95(3) [10.1103/PhysRevD.95.034504].

Finite-volume QED corrections to decay amplitudes in lattice QCD

Tantalo, N.
2017-01-01

Abstract

We demonstrate that the leading and next-to-leading finite-volume effects in the evaluation of leptonic decay widths of pseudoscalar mesons at O(alpha) are universal; i.e. they are independent of the structure of the meson. This is analogous to a similar result for the spectrum but with some fundamental differences, most notably the presence of infrared divergences in decay amplitudes. The leading nonuniversal, structure-dependent terms are of O(1/L-2 ) [compared to the O(1/L-3 ) leading nonuniversal corrections in the spectrum]. We calculate the universal finite-volume effects, which requires an extension of previously developed techniques to include a dependence on an external three-momentum ( in our case, the momentum of the final-state lepton). The result can be included in the strategy proposed in Ref. [N. Carrasco et al., Phys. Rev. D 91, 074506 ( 2015).] for using lattice simulations to compute the decay widths at O(alpha), with the remaining finite-volume effects starting at order O(1/L-2 ). The methods developed in this paper can be generalized to other decay processes, most notably to semileptonic decays, and hence open the possibility of a new era in precision flavor physics.
2017
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore FIS/02 - FISICA TEORICA, MODELLI E METODI MATEMATICI
English
FIELD
Lubicz, V., Martinelli, G., Sachrajda, C.t., Sanfilippo, F., Simula, S., Tantalo, N. (2017). Finite-volume QED corrections to decay amplitudes in lattice QCD. PHYSICAL REVIEW D, 95(3) [10.1103/PhysRevD.95.034504].
Lubicz, V; 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: https://hdl.handle.net/2108/193404
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