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

IF 5.4 1区 物理与天体物理 Q1 Physics and Astronomy
Vladimir M. Braun, Hua-Yu Jiang, Alexander N. Manashov, Andreas von Manteuffel
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引用次数: 0

Abstract

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 \( \overline{\textrm{MS}} \) 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.

双深虚康普顿散射的双环系数函数
利用Wilson-Fischer不动点上d = 4 - 2λ维的大nf QCD的共形对称性,我们计算了一般运动学中具有两种不同光子虚态的两种电磁电流的算子积展开中的双环系数函数。这一结果对于描述双深虚康普顿散射到次至次至领先的精度是必要的,但对于一系列其他双光子过程也是有趣的。本文给出了\( \overline{\textrm{MS}} \)格式下动量分数空间中系数函数的解析表达式,并研究了它对广义部子分布的简单模型的康普顿形因子的数值影响。计算出的修正量很大,对所提出的实验的运动学分析具有重要意义。
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来源期刊
Journal of High Energy Physics
Journal of High Energy Physics 物理-物理:粒子与场物理
CiteScore
10.30
自引率
46.30%
发文量
2107
审稿时长
1.5 months
期刊介绍: The aim of the Journal of High Energy Physics (JHEP) is to ensure fast and efficient online publication tools to the scientific community, while keeping that community in charge of every aspect of the peer-review and publication process in order to ensure the highest quality standards in the journal. Consequently, the Advisory and Editorial Boards, composed of distinguished, active scientists in the field, jointly establish with the Scientific Director the journal''s scientific policy and ensure the scientific quality of accepted articles. JHEP presently encompasses the following areas of theoretical and experimental physics: Collider Physics Underground and Large Array Physics Quantum Field Theory Gauge Field Theories Symmetries String and Brane Theory General Relativity and Gravitation Supersymmetry Mathematical Methods of Physics Mostly Solvable Models Astroparticles Statistical Field Theories Mostly Weak Interactions Mostly Strong Interactions Quantum Field Theory (phenomenology) Strings and Branes Phenomenological Aspects of Supersymmetry Mostly Strong Interactions (phenomenology).
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