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Title: A fast and accurate method for perturbative resummation of transverse momentum-dependent observables

Here, we propose a novel strategy for the perturbative resummation of transverse momentum-dependent (TMD) observables, using the q T spectra of gauge bosons (γ*, Higgs) in pp collisions in the regime of low (but perturbative) transverse momentum q T as a specific example. First we introduce a scheme to choose the factorization scale for virtuality in momentum space instead of in impact parameter space, allowing us to avoid integrating over (or cutting off) a Landau pole in the inverse Fourier transform of the latter to the former. The factorization scale for rapidity is still chosen as a function of impact parameter b, but in such a way designed to obtain a Gaussian form (in ln b) for the exponentiated rapidity evolution kernel, guaranteeing convergence of the b integral. We then apply this scheme to obtain the q T spectra for Drell-Yan and Higgs production at NNLL accuracy. In addition, using this scheme we are able to obtain a fast semi-analytic formula for the perturbative resummed cross sections in momentum space: analytic in its dependence on all physical variables at each order of logarithmic accuracy, up to a numerical expansion for the pure mathematical Bessel function in the inverse Fourier transformmore » that needs to be performed just once for all observables and kinematics, to any desired accuracy.« less
Authors:
ORCiD logo [1] ; ORCiD logo [2] ;  [2]
  1. Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Fudan Univ., Shanghai (China). Key Lab. of Nuclear Physics and Ion-beam Application (MOE) and Inst. of Modern Physics
  2. Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Publication Date:
Report Number(s):
LA-UR-17-27820
Journal ID: ISSN 1029-8479
Grant/Contract Number:
AC52-06NA25396
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: 4; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26); USDOE Laboratory Directed Research and Development (LDRD) Program
Contributing Orgs:
TMD Topical Collaboration
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Atomic and Nuclear Physics
OSTI Identifier:
1440437

Kang, Daekyoung, Lee, Christopher, and Vaidya, Varun. A fast and accurate method for perturbative resummation of transverse momentum-dependent observables. United States: N. p., Web. doi:10.1007/JHEP04(2018)149.
Kang, Daekyoung, Lee, Christopher, & Vaidya, Varun. A fast and accurate method for perturbative resummation of transverse momentum-dependent observables. United States. doi:10.1007/JHEP04(2018)149.
Kang, Daekyoung, Lee, Christopher, and Vaidya, Varun. 2018. "A fast and accurate method for perturbative resummation of transverse momentum-dependent observables". United States. doi:10.1007/JHEP04(2018)149. https://www.osti.gov/servlets/purl/1440437.
@article{osti_1440437,
title = {A fast and accurate method for perturbative resummation of transverse momentum-dependent observables},
author = {Kang, Daekyoung and Lee, Christopher and Vaidya, Varun},
abstractNote = {Here, we propose a novel strategy for the perturbative resummation of transverse momentum-dependent (TMD) observables, using the q T spectra of gauge bosons (γ*, Higgs) in pp collisions in the regime of low (but perturbative) transverse momentum q T as a specific example. First we introduce a scheme to choose the factorization scale for virtuality in momentum space instead of in impact parameter space, allowing us to avoid integrating over (or cutting off) a Landau pole in the inverse Fourier transform of the latter to the former. The factorization scale for rapidity is still chosen as a function of impact parameter b, but in such a way designed to obtain a Gaussian form (in ln b) for the exponentiated rapidity evolution kernel, guaranteeing convergence of the b integral. We then apply this scheme to obtain the q T spectra for Drell-Yan and Higgs production at NNLL accuracy. In addition, using this scheme we are able to obtain a fast semi-analytic formula for the perturbative resummed cross sections in momentum space: analytic in its dependence on all physical variables at each order of logarithmic accuracy, up to a numerical expansion for the pure mathematical Bessel function in the inverse Fourier transform that needs to be performed just once for all observables and kinematics, to any desired accuracy.},
doi = {10.1007/JHEP04(2018)149},
journal = {Journal of High Energy Physics (Online)},
number = 4,
volume = 2018,
place = {United States},
year = {2018},
month = {4}
}