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

Moult, Ian; Zhu, Hua Xing

doi:10.1007/JHEP08(2018)160

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

Journal Article · Mon Aug 27 00:00:00 EDT 2018 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP08(2018)160· OSTI ID:1480820

Moult, Ian ^[1]; Zhu, Hua Xing ^[2]

Univ. of California, Berkeley, CA (United States). Berkeley Center for Theoretical Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Theoretical Physics Group
Zhejiang Univ., Hangzhou (China). Zhejiang Institute of Modern Physics, Department of Physics

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.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 1480820

Journal Information:: Journal of High Energy Physics (Online), Vol. 2018, Issue 8; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 45 works

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Principles of general final-state resummation and automated implementation Banfi, Andrea; Salam, Gavin P.; Zanderighi, Giulia Journal of High Energy Physics, Vol. 2005, Issue 03 https://doi.org/10.1088/1126-6708/2005/03/073	journal	March 2005
On the QCD analysis of jet broadening Dokshitzer, Yuri L.; Lucenti, A.; Marchesini, Giuseppe Journal of High Energy Physics, Vol. 1998, Issue 01 https://doi.org/10.1088/1126-6708/1998/01/011	journal	January 1998
Non-perturbative effects in the energy-energy correlation Dokshitzer, Yuri L.; Marchesini, Giuseppe; Webber, Bryan R. Journal of High Energy Physics, Vol. 1999, Issue 07 https://doi.org/10.1088/1126-6708/1999/07/012	journal	July 1999

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Subleading Power Rapidity Divergences and Power Corrections for $q_T$ Ebert, Markus A.; Moult, Ian; Stewart, Iain W. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2019-02279	text	January 2019
Generic dijet soft functions at two-loop order: correlated emissions Bell, Guido; Rahn, Rudi; Talbert, Jim Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2019-00961	text	January 2018
New insights on an old problem: resummation of the D-parameter Larkoski, Andrew J.; Procita, Aja Journal of High Energy Physics, Vol. 2019, Issue 2 https://doi.org/10.1007/jhep02(2019)104	journal	February 2019
Transverse parton distribution and fragmentation functions at NNLO: the quark case Luo, Ming-Xing; Wang, Xing; Xu, Xiaofeng Journal of High Energy Physics, Vol. 2019, Issue 10 https://doi.org/10.1007/jhep10(2019)083	journal	October 2019
Subleading power rapidity divergences and power corrections for qT Ebert, Markus A.; Moult, Ian; Stewart, Iain W. Journal of High Energy Physics, Vol. 2019, Issue 4 https://doi.org/10.1007/jhep04(2019)123	journal	April 2019
Generic dijet soft functions at two-loop order: correlated emissions Bell, Guido; Rahn, Rudi Michael; Talbert, Jim Springer https://doi.org/10.7892/boris.134180	text	January 2019
Subleading Power Rapidity Divergences and Power Corrections for $q_T$ Ebert, Markus A.; Moult, Ian; Stewart, Iain W. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2019-00610	text	January 2018
Generic dijet soft functions at two-loop order: correlated emissions Bell, Guido; Rahn, Rudi; Talbert, Jim Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2019-02906	text	January 2019
New Insights on an Old Problem: Resummation of the D-parameter Larkoski, Andrew J.; Procita, Aja arXiv https://doi.org/10.48550/arxiv.1810.06563	text	January 2018

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