Matching lightcone- and anomaly-sum-rule predictions for the pion-photon transition form factor

Abstract

The pion-photon transition form factor is studied by employing two types of Sum Rules: Light Cone Sum Rules (LCSR) and Anomaly Sum Rules (ASR). By comparing the predictions for the pion-photon transition form factor, obtained from these two approaches, the applicability limit of the LCSRs at low momenta is determined. Reciprocally, the ASR threshold dependence on the momentum was extracted using our LCSR-based method in combination with two different types of pion distribution amplitudes and found that at higher Q2 it approaches a constant.

LaTeX, 16 pages, 2 figures

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Cited by in corpus (8)

• Systematic estimation of theoretical uncertainties in the calculation of the pion-photon transition form factor using light-cone sum rules
• Pion-photon transition form factor in LCSR and tests of asymptotics
• Quasi-distribution amplitudes for pion and kaon via the nonlocal chiral-quark model
• Influence of confining gluon configurations on the $P\to {\gamma }^{\ast }\gamma$ transition form factors
• Non-Abelian axial anomaly, axial-vector duality, and the pseudoscalar glueball
• Analysis of the $e^{+}{e}^{-}\to {\pi }^0\gamma$ process using anomaly sum rules approach
• Dispersive approach to non-Abelian axial anomaly
• Transition form-factor of $\gamma \to 3\pi$ in nonlocal quark model