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Title: Transverse vetoes with rapidity cutoff in SCET

Abstract

We consider di-jet production in hadron collisions where a transverse veto is imposed on radiation for (pseudo-)rapidities in the central region only, where this central region is defined with rapidity cutoff. For the case where the transverse measurement (e.g., transverse energy or min p T for jet veto) is parametrically larger relative to the typical transverse momentum beyond the cutoff, the cross section is insensitive to the cutoff parameter and is factorized in terms of collinear and soft degrees of freedom. The virtuality for these degrees of freedom is set by the transverse measurement, as in typical transverse-momentum dependent observables such as Drell-Yan, Higgs production, and the event shape broadening. This paper focuses on the other region, where the typical transverse momentum below and beyond the cutoff is of similar size. In this region the rapidity cutoff further resolves soft radiation into (u)soft and soft-collinear radiation with different rapidities but identical virtuality. This gives rise to rapidity logarithms of the rapidity cutoff parameter which we resum using renormalization group methods. We factorize the cross section in this region in terms of soft and collinear functions in the framework of soft-collinear effective theory, then further refactorize the soft function as amore » convolution of the (u)soft and soft-collinear functions. All these functions are calculated at one-loop order. As an example, we calculate a differential cross section for a specific partonic channel, qq ' → qq ' , for the jet shape angularities and show that the refactorization allows us to resum the rapidity logarithms and significantly reduce theoretical uncertainties in the jet shape spectrum.« less

Authors:
 [1];  [2]; ORCiD logo [3];  [4]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Fudan Univ., Shanghai (China). Key Lab. of Nuclear Physics and Ion-beam Application (MOE). Inst. of Modern Physics
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Duke Univ., Durham, NC (United States). Dept. of Physics
  4. Duke Univ., Durham, NC (United States). Dept. of Physics
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Duke Univ., Durham, NC (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26); LANL Laboratory Directed Research and Development (LDRD) Program
OSTI Identifier:
1416293
Report Number(s):
LA-UR-17-27349
Journal ID: ISSN 1029-8479; TRN: US1800902
Grant/Contract Number:
AC52-06NA25396; FG02-05ER41368
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 12; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; jets; factorization; resummation

Citation Formats

Hornig, Andrew, Kang, Daekyoung, Makris, Yiannis, and Mehen, Thomas. Transverse vetoes with rapidity cutoff in SCET. United States: N. p., 2017. Web. doi:10.1007/JHEP12(2017)043.
Hornig, Andrew, Kang, Daekyoung, Makris, Yiannis, & Mehen, Thomas. Transverse vetoes with rapidity cutoff in SCET. United States. doi:10.1007/JHEP12(2017)043.
Hornig, Andrew, Kang, Daekyoung, Makris, Yiannis, and Mehen, Thomas. Mon . "Transverse vetoes with rapidity cutoff in SCET". United States. doi:10.1007/JHEP12(2017)043. https://www.osti.gov/servlets/purl/1416293.
@article{osti_1416293,
title = {Transverse vetoes with rapidity cutoff in SCET},
author = {Hornig, Andrew and Kang, Daekyoung and Makris, Yiannis and Mehen, Thomas},
abstractNote = {We consider di-jet production in hadron collisions where a transverse veto is imposed on radiation for (pseudo-)rapidities in the central region only, where this central region is defined with rapidity cutoff. For the case where the transverse measurement (e.g., transverse energy or min p T for jet veto) is parametrically larger relative to the typical transverse momentum beyond the cutoff, the cross section is insensitive to the cutoff parameter and is factorized in terms of collinear and soft degrees of freedom. The virtuality for these degrees of freedom is set by the transverse measurement, as in typical transverse-momentum dependent observables such as Drell-Yan, Higgs production, and the event shape broadening. This paper focuses on the other region, where the typical transverse momentum below and beyond the cutoff is of similar size. In this region the rapidity cutoff further resolves soft radiation into (u)soft and soft-collinear radiation with different rapidities but identical virtuality. This gives rise to rapidity logarithms of the rapidity cutoff parameter which we resum using renormalization group methods. We factorize the cross section in this region in terms of soft and collinear functions in the framework of soft-collinear effective theory, then further refactorize the soft function as a convolution of the (u)soft and soft-collinear functions. All these functions are calculated at one-loop order. As an example, we calculate a differential cross section for a specific partonic channel, qq ' → qq ' , for the jet shape angularities and show that the refactorization allows us to resum the rapidity logarithms and significantly reduce theoretical uncertainties in the jet shape spectrum.},
doi = {10.1007/JHEP12(2017)043},
journal = {Journal of High Energy Physics (Online)},
number = 12,
volume = 2017,
place = {United States},
year = {Mon Dec 11 00:00:00 EST 2017},
month = {Mon Dec 11 00:00:00 EST 2017}
}

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