Pion pair production in e + e − annihilation at next-to-leading order matched to Parton Shower

Abstract The pion pair production in e + e − annihilation at flavour factories plays a crucial role in the determination of the hadronic contribution to the muon anomalous magnetic moment. The recent CMD-3 measurement of the pion form factor via energy scan displays a significant difference with the...

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Main Authors: Ettore Budassi, Carlo M. Carloni Calame, Marco Ghilardi, Andrea Gurgone, Guido Montagna, Mauro Moretti, Oreste Nicrosini, Fulvio Piccinini, Francesco P. Ucci
Format: Article
Language:English
Published: SpringerOpen 2025-05-01
Series:Journal of High Energy Physics
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Online Access:https://doi.org/10.1007/JHEP05(2025)196
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author Ettore Budassi
Carlo M. Carloni Calame
Marco Ghilardi
Andrea Gurgone
Guido Montagna
Mauro Moretti
Oreste Nicrosini
Fulvio Piccinini
Francesco P. Ucci
author_facet Ettore Budassi
Carlo M. Carloni Calame
Marco Ghilardi
Andrea Gurgone
Guido Montagna
Mauro Moretti
Oreste Nicrosini
Fulvio Piccinini
Francesco P. Ucci
author_sort Ettore Budassi
collection DOAJ
description Abstract The pion pair production in e + e − annihilation at flavour factories plays a crucial role in the determination of the hadronic contribution to the muon anomalous magnetic moment. The recent CMD-3 measurement of the pion form factor via energy scan displays a significant difference with the previous experimental determinations. In order to contribute to an improved theoretical description and simulation of energy scan experiments, we present a calculation of the e + e − → π + π −(γ) hadronic channel at next-to-leading order matched to a Parton Shower algorithm in QED and sQED. According to the recent advances in the literature, particular attention is paid to the treatment of the pion composite structure in loop diagrams beyond the commonly used factorised sQED approach, as well as to the modelling of multiple photon radiation through the Parton Shower algorithm. In particular, we carry out a detailed discussion on the inclusion of the pion form factor in the virtual sQED corrections according to two independent methods, inspired by the generalised vector meson dominance model and the dispersive approach, respectively. We find the two methods to be in remarkable agreement. We show phenomenological results for inclusive and differential observables which are relevant for precision energy scan measurements, focusing on the impact of the radiative corrections and the effect of the various approaches for the treatment of the pion form factor. Our calculation is implemented in an updated version of the Monte Carlo event generator BabaYaga@NLO, that can be used for fully exclusive simulations in data analysis.
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spelling doaj-art-eab3ea39de3442ccadef7fa62124febd2025-08-20T03:10:27ZengSpringerOpenJournal of High Energy Physics1029-84792025-05-012025515110.1007/JHEP05(2025)196Pion pair production in e + e − annihilation at next-to-leading order matched to Parton ShowerEttore Budassi0Carlo M. Carloni Calame1Marco Ghilardi2Andrea Gurgone3Guido Montagna4Mauro Moretti5Oreste Nicrosini6Fulvio Piccinini7Francesco P. Ucci8Dipartimento di Fisica, Università di PaviaINFN, Sezione di PaviaDipartimento di Fisica, Università di PaviaDipartimento di Fisica, Università di PaviaDipartimento di Fisica, Università di PaviaDipartimento di Fisica e Scienze della Terra, Università di FerraraINFN, Sezione di PaviaINFN, Sezione di PaviaDipartimento di Fisica, Università di PaviaAbstract The pion pair production in e + e − annihilation at flavour factories plays a crucial role in the determination of the hadronic contribution to the muon anomalous magnetic moment. The recent CMD-3 measurement of the pion form factor via energy scan displays a significant difference with the previous experimental determinations. In order to contribute to an improved theoretical description and simulation of energy scan experiments, we present a calculation of the e + e − → π + π −(γ) hadronic channel at next-to-leading order matched to a Parton Shower algorithm in QED and sQED. According to the recent advances in the literature, particular attention is paid to the treatment of the pion composite structure in loop diagrams beyond the commonly used factorised sQED approach, as well as to the modelling of multiple photon radiation through the Parton Shower algorithm. In particular, we carry out a detailed discussion on the inclusion of the pion form factor in the virtual sQED corrections according to two independent methods, inspired by the generalised vector meson dominance model and the dispersive approach, respectively. We find the two methods to be in remarkable agreement. We show phenomenological results for inclusive and differential observables which are relevant for precision energy scan measurements, focusing on the impact of the radiative corrections and the effect of the various approaches for the treatment of the pion form factor. Our calculation is implemented in an updated version of the Monte Carlo event generator BabaYaga@NLO, that can be used for fully exclusive simulations in data analysis.https://doi.org/10.1007/JHEP05(2025)196Parton ShowerPrecision QEDProperties of HadronsHigher Order Electroweak Calculations
spellingShingle Ettore Budassi
Carlo M. Carloni Calame
Marco Ghilardi
Andrea Gurgone
Guido Montagna
Mauro Moretti
Oreste Nicrosini
Fulvio Piccinini
Francesco P. Ucci
Pion pair production in e + e − annihilation at next-to-leading order matched to Parton Shower
Journal of High Energy Physics
Parton Shower
Precision QED
Properties of Hadrons
Higher Order Electroweak Calculations
title Pion pair production in e + e − annihilation at next-to-leading order matched to Parton Shower
title_full Pion pair production in e + e − annihilation at next-to-leading order matched to Parton Shower
title_fullStr Pion pair production in e + e − annihilation at next-to-leading order matched to Parton Shower
title_full_unstemmed Pion pair production in e + e − annihilation at next-to-leading order matched to Parton Shower
title_short Pion pair production in e + e − annihilation at next-to-leading order matched to Parton Shower
title_sort pion pair production in e e annihilation at next to leading order matched to parton shower
topic Parton Shower
Precision QED
Properties of Hadrons
Higher Order Electroweak Calculations
url https://doi.org/10.1007/JHEP05(2025)196
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