Radiative corrections to the forward-backward asymmetry in e$^{+}$e$^{−}$ → π$^{+}$π$^{−}$ - INSPIRE

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Radiative corrections to the forward-backward asymmetry in e $^{+}$ e $^{−}$ → π $^{+}$ π $^{−}$

Gilberto Colangelo
(
- Bern U.
)
,
Martin Hoferichter
(
- Bern U.
)
,
Joachim Monnard
(
- Bern U.
)
,
Jacobo Ruiz de Elvira
(
- Bern U. and
- Madrid U.
)

Jul 7, 2022

16 pages

Published in:

JHEP 08 (2022) 295,
JHEP 09 (2024) 177 (erratum),
JHEP 03 (2025) 217 (erratum)

Published: Aug 30, 2022
and
Published: Sep 25, 2024
and
Published: Mar 28, 2025

e-Print:

2207.03495 [hep-ph]

DOI:

View in:

ADS Abstract Service

reference search27 citations

Citations per year

Abstract: (Springer)

We present a calculation of the C-odd radiative corrections to e

^{+}

e

^{−}

→ π

^{+}

π

^{−}

in a dispersive formalism, concentrating on the leading pion-pole contribution in the virtual box diagrams. In particular, we show how the effect of a general pion vector form factor in the loop integral can be incorporated in a model-independent way and how the cancellation of infrared singularities proceeds in this case. The numerical results, dominated by the infrared enhanced contributions, indicate significant corrections beyond scalar QED, essentially confirming recent findings in generalized vector-meson-dominance models.

Note:

16 pages, 3 figures; numerical results for the corrections included as supplemental material; corrected treatment of endpoint singularity, including mixed term in real part

Chiral Lagrangian
Precision QED
quantum electrodynamics: scalar
angular distribution: asymmetry
form factor: vector
radiative correction
loop integral
singularity: infrared
dispersion
numerical calculations

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