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 ...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,aμ.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_(μ)^(π1-box)(RL)=-(2.03±0.12)×10^(-13),a_(μ)^(π1-box)(BRL)=-(2.02±0.10)×10^(-13).Our computation also sets the groundwork for calculating related pole contributions of excited pseudo scalar mesons to aμ.展开更多
基金the financial support received through the program"Postdoctorados Nacionales por México"partially funded by the"PROMETEO"programme of the"Generalitat Valenciana"grant CIPROM/2022/66+8 种基金by the Spanish"Agencia Estatal de Investigación",MCIN/AEI/10.13039/501100011033,through the grants PID2020-113334GB-I00 and PID2023-151418NB-I00Coordinación de la Investigación Científica of the Universidad Michoacana de San Nicolás de Hidalgo Grant No.4.10.CONAHCyT grant CBF2023-2024-3544Ayudas Beatriz Galindo,SpainConahcyt(México)funding through project CBF2023-2024-3226Spanish support during his sabbatical year through projects MCIN/AEI/10.13039/501100011033,grant PID2020-114473GB-I00,and Generalitat Valenciana grant PROMETEO/2021/071the financial support provided to him through the program"Beca de Posgrado en México"supported by Spanish Ministry of Science and Innovation(MICINN grant no.PID2022-140440NB-C22)Junta de Andalucía(grant P18-FR-5057)。
文摘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,aμ.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_(μ)^(π1-box)(RL)=-(2.03±0.12)×10^(-13),a_(μ)^(π1-box)(BRL)=-(2.02±0.10)×10^(-13).Our computation also sets the groundwork for calculating related pole contributions of excited pseudo scalar mesons to aμ.
