Jet shapes in dijet events at the LHC in SCET
Here, we consider the class of jet shapes known as angularities in dijet production at hadron colliders. These angularities are modified from the original definitions in e + e collisions to be boost invariant along the beam axis. These shapes apply to the constituents of jets defined with respect to either k _{T}type (antik _{T}, C/A, and k _{T}) algorithms and conetype algorithms. We present an SCET factorization formula and calculate the ingredients needed to achieve nexttoleadinglog (NLL) accuracy in kinematic regions where nonglobal logarithms are not large. The factorization formula involves previously unstudied “unmeasured beam functions,” which are present for finite rapidity cuts around the beams. We derive relations between the jet functions and the shapedependent part of the soft function that appear in the factorized cross section and those previously calculated for e ^{+}e ^{} collisions, and present the calculation of the nontrivial, colorconnected part of the softfunction to O(αs) . This latter part of the soft function is universal in the sense that it applies to any experimental setup with an outofjet p T veto and rapidity cuts together with two identified jets and it is independent of the choice of jet (sub)structure measurement. In addition, we implement the recently introduced softcollinear refactorization to resum logarithms of the jet size, valid in the region of nonenhanced nonglobal logarithm effects. While our results are valid for all 2 → 2 channels, we compute explicitly for the qq' → qq' channel the colorflow matrices and plot the NLL resummed differential dijet cross section as an explicit example, which shows that the normalization and scale uncertainty is reduced when the soft function is refactorized. For this channel, we also plot the jet size R dependence, the p$$cut\atop{T}$$ dependence, and the dependence on the angularity parameter a.
 Authors:

^{[1]};
^{[2]};
^{[2]}
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Duke Univ., Durham, NC (United States). Dept. of Physics
 Publication Date:
 Report Number(s):
 LAUR1527299
Journal ID: ISSN 10298479; TRN: US1801294
 Grant/Contract Number:
 AC5206NA25396; FG0205ER41368
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 4; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Sponsoring Org:
 USDOE Laboratory Directed Research and Development (LDRD) Program
 Country of Publication:
 United States
 Language:
 English
 Subject:
 46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Atomic and Nuclear Physics; Jets; QCD Phenomenology
 OSTI Identifier:
 1418756
Hornig, Andrew, Makris, Yiannis, and Mehen, Thomas. Jet shapes in dijet events at the LHC in SCET. United States: N. p.,
Web. doi:10.1007/JHEP04(2016)097.
Hornig, Andrew, Makris, Yiannis, & Mehen, Thomas. Jet shapes in dijet events at the LHC in SCET. United States. doi:10.1007/JHEP04(2016)097.
Hornig, Andrew, Makris, Yiannis, and Mehen, Thomas. 2016.
"Jet shapes in dijet events at the LHC in SCET". United States.
doi:10.1007/JHEP04(2016)097. https://www.osti.gov/servlets/purl/1418756.
@article{osti_1418756,
title = {Jet shapes in dijet events at the LHC in SCET},
author = {Hornig, Andrew and Makris, Yiannis and Mehen, Thomas},
abstractNote = {Here, we consider the class of jet shapes known as angularities in dijet production at hadron colliders. These angularities are modified from the original definitions in e + e collisions to be boost invariant along the beam axis. These shapes apply to the constituents of jets defined with respect to either kTtype (antikT, C/A, and kT) algorithms and conetype algorithms. We present an SCET factorization formula and calculate the ingredients needed to achieve nexttoleadinglog (NLL) accuracy in kinematic regions where nonglobal logarithms are not large. The factorization formula involves previously unstudied “unmeasured beam functions,” which are present for finite rapidity cuts around the beams. We derive relations between the jet functions and the shapedependent part of the soft function that appear in the factorized cross section and those previously calculated for e+e collisions, and present the calculation of the nontrivial, colorconnected part of the softfunction to O(αs) . This latter part of the soft function is universal in the sense that it applies to any experimental setup with an outofjet p T veto and rapidity cuts together with two identified jets and it is independent of the choice of jet (sub)structure measurement. In addition, we implement the recently introduced softcollinear refactorization to resum logarithms of the jet size, valid in the region of nonenhanced nonglobal logarithm effects. While our results are valid for all 2 → 2 channels, we compute explicitly for the qq' → qq' channel the colorflow matrices and plot the NLL resummed differential dijet cross section as an explicit example, which shows that the normalization and scale uncertainty is reduced when the soft function is refactorized. For this channel, we also plot the jet size R dependence, the p$cut\atop{T}$ dependence, and the dependence on the angularity parameter a.},
doi = {10.1007/JHEP04(2016)097},
journal = {Journal of High Energy Physics (Online)},
number = 4,
volume = 2016,
place = {United States},
year = {2016},
month = {4}
}