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<p>Making use of conformal symmetry of large-<i>n</i><sub><i>f</i></sub> QCD in <i>d</i> = 4 – 2<i>ϵ</i> dimensions at the Wilson-Fischer fixed point, we calculate the two-loop coefficient functions in the operator product expansion of two electromagnetic currents in general kinematics with two different photon virtualities. This result is necessary for the description of the double deeply virtual Compton scattering to the next-to-next-to-leading order accuracy, but is also interesting for a range of other two-photon processes. We present analytic expression for the coefficient function in momentum fraction space in the <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math display="inline"> <mover accent="true"> <mi>MS</mi> <mo stretchy="true">¯</mo> </mover> </math></EquationSource> <EquationSource Format="TEX">\( \overline{\textrm{MS}} \)</EquationSource> </InlineEquation> scheme and study its numerical impact on the Compton form factors for a simple model of the generalized parton distributions. The calculated corrections turn out to be large and are significant for the kinematics of proposed experiments.</p>

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The two-loop coefficient functions for double deeply virtual Compton scattering

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年1月14日

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  • Vladimir M. Braun,
  • Hua-Yu Jiang,
  • Alexander N. Manashov,
  • Andreas von Manteuffel

摘要

Making use of conformal symmetry of large-nf QCD in d = 4 – 2ϵ dimensions at the Wilson-Fischer fixed point, we calculate the two-loop coefficient functions in the operator product expansion of two electromagnetic currents in general kinematics with two different photon virtualities. This result is necessary for the description of the double deeply virtual Compton scattering to the next-to-next-to-leading order accuracy, but is also interesting for a range of other two-photon processes. We present analytic expression for the coefficient function in momentum fraction space in the MS ¯ \( \overline{\textrm{MS}} \) scheme and study its numerical impact on the Compton form factors for a simple model of the generalized parton distributions. The calculated corrections turn out to be large and are significant for the kinematics of proposed experiments.