Four-Loop Rapidity Anomalous Dimension and Event Shapes to Fourth Logarithmic Order

被引：43

作者：

Duhr, Claude ^{[1
]}

Mistlberger, Bernhard ^{[2
]}

Vita, Gherardo ^{[2
]}

机构：

[1] Univ Bonn, Bethe Ctr Theoret Phys, D-53115 Bonn, Germany

[2] Stanford Univ, SLAC Natl Accelerator Lab, Menlo Pk, CA 94025 USA

来源：

PHYSICAL REVIEW LETTERS | 2022年 / 129卷 / 16期

基金：

美国能源部;

关键词：

ENERGY-ENERGY CORRELATIONS; TO-BACK JETS; ALPHA-S; TRANSVERSE-MOMENTUM; E+E-ANNIHILATION; FORM-FACTORS; SOFT; QUARK;

D O I：

10.1103/PhysRevLett.129.162001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We obtain the quark and gluon rapidity anomalous dimension to fourth order in QCD. We calculate the N3LO rapidity anomalous dimensions to higher order in the dimensional regulator and make use of the soft and rapidity anomalous dimension correspondence in conjunction with the recent determination of the N4LO threshold anomalous dimensions to achieve our result. We show that the results for the quark and gluon rapidity anomalous dimensions at four loops are related by generalized Casimir scaling. Using the N4LO rapidity anomalous dimension, we perform the resummation of the energy-energy correlation in the back-to-back limit at N4LL, achieving for the first time the resummation of an event shape at this logarithmic order. We present numerical results and observe a reduction of perturbative uncertainties on the resummed cross section to below 1%.

引用

页数：8

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