Erratum: Calculation of the pion-photon transition form factor using dispersion relations and renormalization-group summation (Physical Review D (2018) 98 (096017) DOI: 10.1103/PhysRevD.98.096017)

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Resumen

The graphics shown in the right panels of Figs. 1 and 2 of the journal version are the result of an erroneous computer code. The corresponding corrected curves are displayed here in Fig. 1. (Figure Presented). Analogously, also the predictions shown in Fig. 3 in the journal are wrong. The correct contribution to the transition form factor (TFF), comprising the twist-two and twist-four terms, is shown as a dashed line in Fig. 2 below. As one sees, fractional analytic perturbation theory (FAPT) resummation of the radiative corrections induces a sizeable suppression of the transition form factor. To get agreement with the experimental data, it is mandatory to include into expression (36) the twist-six contribution. This is done by taking into account the spectral density ρ(Q2,x) for the initial light-cone sum rules in Eq. (28), the corresponding contribution ρtw - 6 [2,3], given by (Formula Presented). where αs=0.494 and {qq}2=(0.240 ± 0.01 ) 6 GeV 6 [2]. The resulting TFF is shown in the figure in terms of a solid line. Thus, the conclusion drawn in the journal version that one gets agreement with the data by taking into account only the twist-two and twist-four terms has to be corrected accordingly. The deviations of the results given in Figs. 4 and 5 of the journal version differ from their corrected counterparts by less than about 5 percent and are therefore not shown here. ACKNOWLEDGMENTS We would like to thank Alex Pimikov for help with the numerical computations.

Idioma originalInglés
Número de artículo059901
PublicaciónPhysical Review D
Volumen101
N.º5
DOI
EstadoPublicada - 1 mar. 2020

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