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Title: Simplicity from recoil: the three-loop soft function and factorization for the energy-energy correlation

Abstract

We derive an operator based factorization theorem for the energy-energy correlation (EEC) observable in the back-to-back region, allowing the cross section to be written as a convolution of hard, jet and soft functions. We prove the equivalence of the soft functions for the EEC and color singlet transverse-momentum resummation to all-loop order, and give their analytic result to three-loops. Large logarithms appearing in the perturbative expansion of the EEC can be resummed to all orders using renormalization group evolution. We give analytic results for all required anomalous dimensions to three-loop order, providing the first example of a transverse-momentum (recoil) sensitive e +e - event shape whose anomalous dimensions are known at this order. The EEC can now be computed to next-to-next-to-next-to-leading logarithm matched to next-to-next-to-leading order, making it a prime candidate for precision QCD studies and extractions of the strong coupling constant. Lastly, we anticipate that our factorization theorem will also be crucial for understanding non-perturbative power corrections for the EEC, and their relationship to those appearing in other observables.

Authors:
 [1];  [2]
  1. Univ. of California, Berkeley, CA (United States). Berkeley Center for Theoretical Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Theoretical Physics Group
  2. Zhejiang Univ., Hangzhou (China). Zhejiang Institute of Modern Physics, Department of Physics
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1480820
Grant/Contract Number:  
[AC02-05CH11231]
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
[Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 8]; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICS AND COMPUTING; Jets; NLO Computations

Citation Formats

Moult, Ian, and Zhu, Hua Xing. Simplicity from recoil: the three-loop soft function and factorization for the energy-energy correlation. United States: N. p., 2018. Web. doi:10.1007/JHEP08(2018)160.
Moult, Ian, & Zhu, Hua Xing. Simplicity from recoil: the three-loop soft function and factorization for the energy-energy correlation. United States. doi:10.1007/JHEP08(2018)160.
Moult, Ian, and Zhu, Hua Xing. Mon . "Simplicity from recoil: the three-loop soft function and factorization for the energy-energy correlation". United States. doi:10.1007/JHEP08(2018)160. https://www.osti.gov/servlets/purl/1480820.
@article{osti_1480820,
title = {Simplicity from recoil: the three-loop soft function and factorization for the energy-energy correlation},
author = {Moult, Ian and Zhu, Hua Xing},
abstractNote = {We derive an operator based factorization theorem for the energy-energy correlation (EEC) observable in the back-to-back region, allowing the cross section to be written as a convolution of hard, jet and soft functions. We prove the equivalence of the soft functions for the EEC and color singlet transverse-momentum resummation to all-loop order, and give their analytic result to three-loops. Large logarithms appearing in the perturbative expansion of the EEC can be resummed to all orders using renormalization group evolution. We give analytic results for all required anomalous dimensions to three-loop order, providing the first example of a transverse-momentum (recoil) sensitive e+e- event shape whose anomalous dimensions are known at this order. The EEC can now be computed to next-to-next-to-next-to-leading logarithm matched to next-to-next-to-leading order, making it a prime candidate for precision QCD studies and extractions of the strong coupling constant. Lastly, we anticipate that our factorization theorem will also be crucial for understanding non-perturbative power corrections for the EEC, and their relationship to those appearing in other observables.},
doi = {10.1007/JHEP08(2018)160},
journal = {Journal of High Energy Physics (Online)},
number = [8],
volume = [2018],
place = {United States},
year = {2018},
month = {8}
}

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Cited by: 11 works
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