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

Kang, Daekyoung; Lee, Christopher; Vaidya, Varun

doi:10.1007/JHEP04(2018)149

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

Journal Article · Fri Apr 27 00:00:00 EDT 2018 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP04(2018)149· OSTI ID:1440437

^[1];

^[2]; Vaidya, Varun ^[2]

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)

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.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Laboratory Directed Research and Development (LDRD) Program

Contributing Organization:: TMD Topical Collaboration

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1440437

Report Number(s):: LA-UR-17-27820; TRN: US1900732

Journal Information:: Journal of High Energy Physics (Online), Vol. 2018, Issue 4; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 12 works

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Nonperturbative Uncertainties on the Transverse Momentum Distribution of Electroweak Bosons and on the Determination of the $W$ Boson Mass at the LHC Bozzi, Giuseppe; Signori, Andrea Advances in High Energy Physics, Vol. 2019 https://doi.org/10.1155/2019/2526897	journal	March 2019
Fiducial distributions in Higgs and Drell-Yan production at N3LL+NNLO Bizon, Wojciech; Chen, Xuan; Gehrmann-De Ridder, Aude ETH Zurich https://doi.org/10.3929/ethz-b-000314678	text	January 2018
Fiducial distributions in Higgs and Drell-Yan production at N3LL+NNLO Bizoń, Wojciech; Chen, Xuan; Gehrmann-De Ridder, Aude Springer https://doi.org/10.5167/uzh-161906	text	January 2018

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