Resummation of threshold logarithms in deeply-virtual Compton scattering

被引:4
作者
Schoenleber, J. [1 ]
机构
[1] Univ Regensburg, Inst Theoret Phys, Univ Str 31, D-93040 Regensburg, Germany
关键词
Factorization; Renormalization Group; Resummation; Specific QCD Phenomenology; RENORMALIZATION;
D O I
10.1007/JHEP02(2023)207
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
I derive an all-order resummation formula for the logarithmically enhanced contributions proportional to alpha(n)( s)/ x +/-xi log( xi +/- x/ 2 xi )(k) in the quark coefficient function of deeply virtual-Compton scattering and the pion-photon transition form factor in momentum space. The resummation is performed at the next-to-next-to-leading logarithmic accuracy. The key observation is that the quark coefficient function itself factorizes in the x -> +/- xi limit, which allows for a resummation using renormalization group equations. A preliminary numerical analysis suggests that the corrections due to resummation for the quark contribution might be small.
引用
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页数:19
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