Soft gluon fields and anomalous magnetic moment of muon

Abstract

An impact of nonperturbatively treated soft gluon modes on the value of anomalous magnetic moment of muon a_µ is studied within the mean-field approach to QCD vacuum and hadronization. It is shown that radial excitations of vector mesons strongly enhance contribution of hadronic vacuum polarization to a_µ, doubling the contribution of one-meson processes compared to the result for ground state mesons. The mean field also strongly influences the hadronic light-by-light scattering contribution due to the Wilson line in quark propagators.

Self-Interactions, Self-Energy and the Electromagnetic Contribution to the Anomalous <em>g</em>-Factor

“…The solutions yield to the exact value of the particle's energy represented by the Hamiltonian ( 9) and essentially to that of the electromagnetic contribution to the anomalous g-factor. It is worth noting that from Equation (19) follows that β e ≈ α. Within the considered theoretical approach u e is invariant for all observers, with relative quantities being the velocities v q and ṽq , see Section 2.1.…”

“…The computations of the electromagnetic component of the particle's anomalous g-factor and the corresponding speed are carried out for α = 137.035999084 −1 [47]. Solving the system of transcendental Equations (19) and (20) for the particle's speed we obtain u e = 2.18821606262 × 10 6 ms −1 , with corresponding value of a e given in the second row of Table 1. Compared to the experimentally obtained [11] and calculated with the aid of quantum electrodynamics [7,8] electron's anomalous g-factor, the numerical value obtained by solving Equations ( 19) and (20), with the given value of the fine structure constant, is accurate to a one part in a billion.…”

“…Determining with high accuracy the dynamics of both massive leptons is an active field of research. The muon's anomalous magnetic moment is still puzzling the community aiming to reduce the gap between theory and experiment [12][13][14][15][16][17][18][19], recently known to be of about 0.58%. On the other hand, having a very short lifetime and being the massive among all leptons, measuring and predicting tau anomalous magnetic moment is a challenging task requiring great efforts [20][21][22][23][24][25][26].…”

Self-Interactions, Self-Energy and the Electromagnetic Contribution to the Anomalous <em>g</em>-Factor

“…Determining with high accuracy the dynamics of both massive leptons is an active field of research. The muon's anomalous magnetic moment is still puzzling the community aiming to reduce the gap between theory and experiment [12][13][14][15][16][17][18], recently known to be of about 0.58%. On the other hand, having a very short lifetime and being the massive among all leptons, measuring and predicting tau anomalous magnetic moment is a challenging task requiring great efforts [19][20][21][22][23][24][25].…”

Self-Interactions, Self-Energy and the Electromagnetic Contribution to the Anomalous <em>g</em>-Factor

“…Determining with high accuracy the dynamics of the two remaining massive leptons carrying elementary charge, the muon and tau, is an active field of research. The muon's anomalous magnetic moment [14,15] is still puzzling the community aiming to reduce the gap between theory and experiment [16][17][18][19][20][21][22], recently known to be of about 0.58%. On the other hand, having a very short lifetime and being the massive among all leptons, measuring and predicting tau anomalous magnetic moment is a challenging task requiring great efforts [23][24][25][26][27][28][29].…”