One-loop matching for leading-twist generalised transverse-momentum-dependent distributions

IF 5.4 1区 物理与天体物理 Q1 Physics and Astronomy
Valerio Bertone, Miguel G. Echevarria, Oscar del Rio, Simone Rodini
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引用次数: 0

Abstract

We present the one-loop matching coefficients necessary to match all of the leading-twist generalised transverse-momentum-dependent distributions (GTMDs) onto generalised parton distributions (GPDs). Matching functions are extracted by computing the first radiative corrections to partonic bilocal correlators with staple-like Wilson lines, as appropriate for high-energy collisions. These correlators are characterised by a transverse displacement and skewed kinematics of external states. Using the proton helicity basis, they are parametrised in terms of GTMDs, which are subsequently related to leading-twist GPDs. Our results provide new insights into the complex dynamics of GTMDs generated by radiative corrections. In particular, we show that time-reversal even and odd contributions to GTMDs in the so-called ERBL region mix both under matching and evolution. Finally, we present a selection of numerical results and comment on the quantitative behaviour of GTMDs.

引线扭转广义横向动量相关分布的单环匹配
我们提出了将所有引线扭转广义横向动量相关分布(GTMDs)匹配到广义部子分布(gpd)所需的单环匹配系数。匹配函数是通过计算具有类似订书钉的威尔逊线的局部双域相关器的第一次辐射修正来提取的,适合于高能碰撞。这些相关器的特点是横向位移和外部状态的扭曲运动学。利用质子螺旋度基础,它们被参数化为gtmd,随后与导扭gdpds相关。我们的研究结果为辐射校正产生的gtmd的复杂动力学提供了新的见解。特别地,我们证明了在匹配和进化条件下,在所谓的ERBL区域混合中,时间反转对gtmd的偶和奇贡献。最后,我们给出了一些数值结果,并对gtmd的定量行为进行了评论。
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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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