A fast and accurate method for perturbative resummation of transverse momentumdependent observables
Here, we propose a novel strategy for the perturbative resummation of transverse momentumdependent (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 DrellYan and Higgs production at NNLL accuracy. In addition, using this scheme we are able to obtain a fast semianalytic 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 »
 Authors:

^{[1]}
;
^{[2]}
;
^{[2]}
 Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Fudan Univ., Shanghai (China). Key Lab. of Nuclear Physics and Ionbeam Application (MOE) and Inst. of Modern Physics
 Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
 Publication Date:
 Report Number(s):
 LAUR1727820
Journal ID: ISSN 10298479
 Grant/Contract Number:
 AC5206NA25396
 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 10298479
 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) (SC26); 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 momentumdependent 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 momentumdependent 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 momentumdependent 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 momentumdependent observables},
author = {Kang, Daekyoung and Lee, Christopher and Vaidya, Varun},
abstractNote = {Here, we propose a novel strategy for the perturbative resummation of transverse momentumdependent (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 DrellYan and Higgs production at NNLL accuracy. In addition, using this scheme we are able to obtain a fast semianalytic 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}
}