Electromagnetic corrections to leptonic decay rates of charged pseudoscalar mesons: finite-volume effects

Abstract

In Carrasco et al. we have recently proposed a method to calculate $O(e^2)$ electromagnetic corrections to leptonic decay widths of pseudoscalar mesons. The method is based on the observation that the infrared divergent contributions (that appear at intermediate stages of the calculation and that cancel in physical quantities thanks to the Bloch-Nordsieck mechanism) are universal, i.e. depend on the charge and the mass of the meson but not on its internal structure. In this talk we perform a detailed analysis of the finite-volume effects associated with our method. In particular we show that also the leading $1/L$ finite-volume effects are universal and perform an analytical calculation of the finite-volume leptonic decay rate for a point-like meson.

Corrected a typo affecting the 1/L^3 term. The typo has been discovered from the authors of arXiv:2109.05002

References in corpus (4)

• Ab initio calculation of the neutron-proton mass difference
• QED in finite volume and finite size scaling effect on electromagnetic properties of hadrons
• Finite-Volume QED Corrections to Decay Amplitudes in Lattice QCD
• Electromagnetic corrections to the leptonic decay rates of charged pseudoscalar mesons: lattice results

Cited by in corpus (7)

• FLAG Review 2019
• First lattice calculation of radiative leptonic decay rates of pseudoscalar mesons
• Strange and charm HVP contributions to the muon ($g-2)$ including QED corrections with twisted-mass fermions
• Lattice calculation of the pion mass difference $M_{{\pi }^{+}}-M_{{\pi }^0}$ at order $\mathcal{O}({\alpha }_{em})$
• Finite-Volume Corrections to Electromagnetic Masses for Larger-Than-Physical Electric Charges
• HVP contributions to the muon ($g-2$) including QED corrections with twisted-mass fermions
• $|V_{us}|$ from $K$ decays in theory