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Title: Subleading power rapidity divergences and power corrections for qT

Abstract

A number of important observables exhibit logarithms in their perturbative description that are induced by emissions at widely separated rapidities. These include transverse-momentum (qT) logarithms, logarithms involving heavy-quark or electroweak gauge boson masses, and small-x logarithms. In this paper, we initiate the study of rapidity logarithms, and the associated rapidity divergences, at subleading order in the power expansion. This is accomplished using the soft collinear effective theory (SCET). We discuss the structure of subleading-power rapidity divergences and how to consistently regulate them. We introduce a new pure rapidity regulator and a corresponding MS¯-like scheme, which handles rapidity divergences while maintaining the homogeneity of the power expansion. We find that power-law rapidity divergences appear at subleading power, which give rise to derivatives of parton distribution functions. As a concrete example, we consider the qT spectrum for color-singlet production, for which we compute the complete $$q$$ $$^{2}_{T}$$/Q2 suppressed power corrections at O(αs), including both logarithmic and nonlogarithmic terms. Our results also represent an important first step towards carrying out a resummation of subleading-power rapidity logarithms.

Authors:
ORCiD logo [1];  [2];  [1];  [3];  [1];  [4]
+ Show Author Affiliations
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  2. Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
  3. Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
  4. Zhejiang Univ. (China)
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1635489
Grant/Contract Number:  
SC0011090; 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: 2019; Journal Issue: 4; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; effective field theories; perturbative QCD; resummation

Citation Formats

Ebert, Markus A., Moult, Ian, Stewart, Iain W., Tackmann, Frank J., Vita, Gherardo, and Zhu, Hua Xing. Subleading power rapidity divergences and power corrections for qT. United States: N. p., 2019. Web. doi:10.1007/JHEP04(2019)123.
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Ebert, Markus A., Moult, Ian, Stewart, Iain W., Tackmann, Frank J., Vita, Gherardo, & Zhu, Hua Xing. Subleading power rapidity divergences and power corrections for qT. United States. https://doi.org/10.1007/JHEP04(2019)123
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Ebert, Markus A., Moult, Ian, Stewart, Iain W., Tackmann, Frank J., Vita, Gherardo, and Zhu, Hua Xing. Thu . "Subleading power rapidity divergences and power corrections for qT". United States. https://doi.org/10.1007/JHEP04(2019)123. https://www.osti.gov/servlets/purl/1635489.
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@article{osti_1635489,
title = {Subleading power rapidity divergences and power corrections for qT},
author = {Ebert, Markus A. and Moult, Ian and Stewart, Iain W. and Tackmann, Frank J. and Vita, Gherardo and Zhu, Hua Xing},
abstractNote = {A number of important observables exhibit logarithms in their perturbative description that are induced by emissions at widely separated rapidities. These include transverse-momentum (qT) logarithms, logarithms involving heavy-quark or electroweak gauge boson masses, and small-x logarithms. In this paper, we initiate the study of rapidity logarithms, and the associated rapidity divergences, at subleading order in the power expansion. This is accomplished using the soft collinear effective theory (SCET). We discuss the structure of subleading-power rapidity divergences and how to consistently regulate them. We introduce a new pure rapidity regulator and a corresponding MS¯-like scheme, which handles rapidity divergences while maintaining the homogeneity of the power expansion. We find that power-law rapidity divergences appear at subleading power, which give rise to derivatives of parton distribution functions. As a concrete example, we consider the qT spectrum for color-singlet production, for which we compute the complete $q$ $^{2}_{T}$/Q2 suppressed power corrections at O(αs), including both logarithmic and nonlogarithmic terms. Our results also represent an important first step towards carrying out a resummation of subleading-power rapidity logarithms.},
doi = {10.1007/JHEP04(2019)123},
journal = {Journal of High Energy Physics (Online)},
number = 4,
volume = 2019,
place = {United States},
year = {Thu Apr 18 00:00:00 EDT 2019},
month = {Thu Apr 18 00:00:00 EDT 2019}
}
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Journal Article:
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https://doi.org/10.1007/JHEP04(2019)123
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Figures / Tables:

Figure 1 Figure 1: Comparison of the LL and NLL corrections at subleading power with the full nonsingular qT spectrum for all partonic channels contributing to Higgs production at NLO0.
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    Works referencing / citing this record:

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    Analytic results for decays of color singlets to gg and $$q \bar{q}$$qq¯ final states at NNLO QCD with the nested soft-collinear subtraction scheme
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    Higher-order power corrections in a transverse-momentum cut for colour-singlet production at NLO
    journal, October 2019

    Analytic results for color-singlet production at NNLO QCD with the nested soft-collinear subtraction scheme
    text, January 2019

    Two-loop splitting in double parton distributions
    journal, January 2019

    Two-loop splitting in double parton distributions
    text, January 2019

    • Diehl, Markus; Gaunt, Jonathan; Plössl, Peter
    • Deutsches Elektronen-Synchrotron, DESY, Hamburg
    • DOI: 10.3204/pubdb-2019-03245

    Impact of Isolation and Fiducial Cuts on $q_T$ and N-Jettiness Subtractions
    text, January 2019

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