Next-to-Next-to-Leading-Order QCD Prediction for the Pion Form Factor.

Phys Rev Lett

Nankai University, School of Physics, Weijin Road 94, Tianjin 300071, People's Republic of China.

Published: June 2025


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Article Abstract

We accomplish for the first time the two-loop computation of the leading-twist contribution to the pion form factor by employing the effective field theory formalism rigorously. The next-to-next-to-leading-order hard function is determined by evaluating the appropriate five-point QCD amplitude with the modern multiloop technique and by implementing the ultraviolet renormalization and infrared subtractions in the presence of evanescent operators. The yielding two-loop correction to this fundamental quantity turns out to be numerically significant at experimentally accessible momentum transfers. We further demonstrate that the newly computed two-loop QCD correction is highly beneficial for an improved determination of the leading-twist pion distribution amplitude.

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http://dx.doi.org/10.1103/yx51-lc3qDOI Listing

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