Constraints for twist-two alien operators in QCD

IF 5.4 1区物理与天体物理 Q1 Physics and Astronomy

Journal of High Energy Physics Pub Date : 2024-11-13 DOI:10.1007/JHEP11(2024)080

G. Falcioni, F. Herzog, S. Moch, S. Van Thurenhout

引用次数: 0

Abstract

Parton evolution equations in QCD are controlled by the anomalous dimensions of gauge-invariant twist-two spin-N quark and gluon operators. Under renormalization, these mix with gauge-variant operators of the same quantum numbers, referred to as alien operators. Our work addresses the systematic study of these alien operators at arbitrary spin N, using generalized BRST symmetry relations to derive their couplings and Feynman rules at all values of N. We observe how the all-N structure of the generalized (anti-)BRST constraints relates the couplings of alien operators with n + 1 gluons to those with n gluons. Realizing a bootstrap, we present all one-loop results necessary for performing the operator renormalization up to four loops in QCD.

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QCD 中捻二外星算子的约束条件

QCD 中的粒子演化方程受控于规整不变的扭二自旋-N 夸克和胶子算子的反常尺寸。在重正化条件下，这些算子与具有相同量子数的规变算子混合在一起，被称为外来算子。我们的工作涉及在任意自旋 N 下对这些外来算子的系统研究，利用广义 BRST 对称关系推导出它们在所有 N 值下的耦合和费曼规则。我们观察到广义（反）BRST 约束的全 N 结构如何将具有 n + 1 胶子的外来算子耦合与具有 n 胶子的外来算子耦合联系起来。通过自举，我们提出了在 QCD 中执行算子重正化到四环所需的所有一环结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

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).