RT Journal Article
T1 Radially excited pion: electromagnetic form factor and the box contribution to the muon's g-2
A1 Miramontes López, Ángel Salvador
A1 Raya, Khépani
A1 Bashir, Adnan
A1 Roig, Pablo
A1 Paredes Torres, Gustavo
AB We investigate the properties of the radially excited charged pion, with a specific focus on its electromagnetic form factor (EFF) and its box contribution to the hadronic light-by-light (HLbL) component of the muon's anomalous magnetic moment, a_{\mu}. Utilizing a coupled non-perturbative framework combining Schwinger-Dyson and Bethe-Salpeter equations, we first compute the mass and weak decay constant of the pion's first radial excitation. Initial results are provided for the Rainbow-Ladder (RL) approximation, followed by an extended beyond RL (BRL) analysis that incorporates meson cloud effects. Building on our previous work, this analysis demonstrates that an accurate description of the first radial excitation can be achieved without the need for a reparametrization of the interaction kernels. Having demonstrated the effectiveness of the truncation scheme, we proceed to calculate the corresponding EFF, from which we derive the contribution of the pion's first radial excitation to the HLbL component of the muon's anomalous magnetic moment, producing a_{\mu}^{\pi_1-\text{box}}(\text{RL}) = -(2.03 \pm 0.12) \times 10 ^{-13}, a_{\mu}^{\pi_1-\text{box}}(\text{BRL}) = -(2.02 \pm 0.10) \times 10 ^{-13}. Our computation also sets the groundwork for calculating related pole contributions of excited pseudoscalar mesons to a_{\mu}.
PB IOP Publishing; Chinese Physical Society
SN 1674-1137
YR 2025
FD 2025
LK https://hdl.handle.net/10272/27634
UL https://hdl.handle.net/10272/27634
LA eng
NO Miramontes, A. S., Raya, K., Bashir, A., Roig, P., & Paredes-Torres, G. (2025). Radially excited pion: electromagnetic form factor and the box contribution to the muon’s g-2. Chinese Physics C, 49(8), 083108. https://doi.org/10.1088/1674-1137/add259
NO A. S. Miramontes acknowledges Consejo Nacional de Ciencia, Humanidades y Tecnología (CONAHCyT), Mexico, for the financial support received through the program "Postdoctorados Nacionales por México", additionally, has been partially funded by the "PROMETEO" programme of the "Generalitat Valenciana" grant CIPROM/2022/66, and by the Spanish "Agencia Estatal de Investigación", MCIN/AEI/10.13039/501100011033, through the grants PID2020-113334GB-I00 and PID2023-151418NB-I00. A. Bashir thanks Coordinación de la Investigación Científica of the Universidad Michoacana de San Nicolás de Hidalgo Grant No. 4.10., CONAHCyT grant CBF2023-2024-3544 and Ayudas Beatriz Galindo, Spain. P. Roig acknowledges Conahcyt (México) funding through project CBF2023-2024-3226 as well as Spanish support during his sabbatical year through projects MCIN/AEI/10.13039/501100011033, grant PID2020-114473GB-I00, and Generalitat Valenciana grant PROMETEO/2021/071. G. Paredes-Torres acknowledges CONAHCyT, Mexico, for the financial support provided to him through the program "Beca de Posgrado en México". The work of A. Bashir and K. Raya is supported by Spanish Ministry of Science and Innovation (MICINN grant no. PID2022-140440NB-C22) and Junta de Andalucía (grant P18-FR-5057)
DS Repositorio Institucional de la Universidad de Huelva
RD 13 jun 2026