A fast and accurate method for perturbative resummation of transverse momentum-dependent observables
Abstract
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 »
- Authors:
-
- 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
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Laboratory Directed Research and Development (LDRD) Program
- Contributing Org.:
- TMD Topical Collaboration
- OSTI Identifier:
- 1440437
- Report Number(s):
- LA-UR-17-27820
Journal ID: ISSN 1029-8479; TRN: US1900732
- Grant/Contract Number:
- AC52-06NA25396
- 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: 2018; 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; Atomic and Nuclear Physics
Citation Formats
Kang, Daekyoung, Lee, Christopher, and Vaidya, Varun. A fast and accurate method for perturbative resummation of transverse momentum-dependent observables. United States: N. p., 2018.
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. https://doi.org/10.1007/JHEP04(2018)149
Kang, Daekyoung, Lee, Christopher, and Vaidya, Varun. Fri .
"A fast and accurate method for perturbative resummation of transverse momentum-dependent observables". United States. https://doi.org/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 = {Fri Apr 27 00:00:00 EDT 2018},
month = {Fri Apr 27 00:00:00 EDT 2018}
}
Web of Science
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Works referencing / citing this record:
Nonperturbative Uncertainties on the Transverse Momentum Distribution of Electroweak Bosons and on the Determination of the Boson Mass at the LHC
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- Bozzi, Giuseppe; Signori, Andrea
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Fiducial distributions in Higgs and Drell-Yan production at N3LL+NNLO
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Fiducial distributions in Higgs and Drell-Yan production at N3LL+NNLO
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