TY - JOUR
T1 - Erratum
T2 - 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)
AU - Ayala, César
AU - Mikhailov, S. V.
AU - Stefanis, N. G.
N1 - Publisher Copyright:
© 2020 Published by the American Physical Society.
PY - 2020/3/1
Y1 - 2020/3/1
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/85083768409
U2 - 10.1103/PhysRevD.101.059901
DO - 10.1103/PhysRevD.101.059901
M3 - Comment/debate
AN - SCOPUS:85083768409
SN - 2470-0010
VL - 101
JO - Physical Review D
JF - Physical Review D
IS - 5
M1 - 059901
ER -