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We revisit well-known short-distance constraints relating the hadronic light-by light Greens function to the $langle VVA rangle$ one. As a novelty, we identify a previously unnoticed relation among the longitudinal and transverse degrees of freedom that is enforced by the axial anomaly. Such relation allows, among other things, to overcome the problem of basis ambiguities when describing axial-vector mesons transition form factors. It also helps elucidating some caveats of previous models used to describe the short-distance behavior. The new results here presented are model independent and should help paving the way for a better understanding of the, so far, controversial interplay among short-distance constraints and transverse degrees of freedom such as axial-vector mesons.
The recent experimental measurement of the muon $g-2$ at Fermilab National Laboratory, at a $4.2sigma$ tension with the Standard Model prediction, highlights the need for further improvements on the theoretical uncertainties associated to the hadroni
The magnetic and quadrupole moments of the vector and axial-vector mesons containing heavy quark are estimated within the light cone sum rules method. Our predictions on magnetic moments for the vector mesons are compared with the results obtained by other approaches.
The in-medium behavior of ground-state $qbar{q}$ mesons, where $q in {u,d,s,c}$, in vector and axial-vector channels is studied based on the spectral analysis for mesonic correlators at finite temperature and zero chemical potential. We first compute
The structure of the scalar mesons has been a subject of debate for many decades. In this work we look for $bar{q}q$ states among the physical resonances using an extended Linear Sigma Model that contains scalar, pseudoscalar, vector, and axial-vecto
The current $3.7sigma$ discrepancy between the Standard Model prediction and the experimental value of the muon anomalous magnetic moment could be a hint for the existence of new physics. The hadronic light-by-light contribution is one of the pieces