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Beyond scalar QED radiative corrections: The ρ±−ρ0 width difference, final state radiation corrections, and their impact on Δ aμHVP,LO[τ]

F. V. Flores-Baez*

G. López Castro†

Genaro Toledo‡

  • *Contact author: francisco.floresbz@uanl.edu.mx
  • †Contact author: gabriel.lopez@cinvestav.mx
  • ‡Contact author: toledo@fisica.unam.mx
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Phys. Rev. D 113, 093002 – Published 6 May, 2026

DOI: https://doi.org/10.1103/h2b5-kgfg

Abstract

In a previous paper [Flores-Baez et al., Phys. Rev. D 76, 096010 (2007)] we have calculated the radiative corrections to ρ→ππ decays, aiming to estimate the width difference between charged and neutral rho mesons. There, we have used the scalar quantum electrodynamics approximation and considered the convection terms to keep the loop contributions finite in the case of charged rho meson decays. Here we compute the radiative corrections by considering the electromagnetic structure of charged mesons and we also include the full Lorentz structure of the electromagnetic vertices. We reevaluate the width difference of ρ±−ρ0 vector mesons and calculate the structure-dependent contributions to final state radiation terms in the e+e−→π+π− cross section. Both effects are important inputs for evaluating the isospin breaking corrections in the dominant hadronic vacuum polarization contributions to the muon g−2 when using τ lepton data.

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Phys. Rev. D 113, 093002– Published 6 May, 2026
  • Received 9 October 2025
  • Accepted 2 April 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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