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Title: Transverse momentum dependent PDFs at N 3LO

Abstract

We compute the quark and gluon transverse momentum dependent parton distribution functions at next-to-next-to-next-to-leading order (N3LO) in perturbative QCD. Our calculation is based on an expansion of the differential Drell-Yan and gluon fusion Higgs production cross sections about their collinear limit. This method allows us to employ cutting edge multiloop techniques for the computation of cross sections to extract these universal building blocks of the collinear limit of QCD. The corresponding perturbative matching kernels for all channels are expressed in terms of simple harmonic polylogarithms up to weight five. As a byproduct, we confirm a previous computation of the soft function for transverse momentum factorization at N3LO. Our results are the last missing ingredient to extend the qT subtraction methods to N3LO and to obtain resummed qT spectra at N3LL' accuracy both for gluon as well as for quark initiated processes.

Authors:
 [1];  [2];  [1]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  2. Stanford Univ., CA (United States)
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
OSTI Identifier:
1712428
Alternate Identifier(s):
OSTI ID: 1711418
Grant/Contract Number:  
SC0011090; AC02-76SF00515
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Volume: 2020; Journal Issue: 9; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Effective Field Theories; Perturbative QCD

Citation Formats

Ebert, Markus A., Mistlberger, Bernhard, and Vita, Gherardo. Transverse momentum dependent PDFs at N3LO. United States: N. p., 2020. Web. doi:10.1007/jhep09(2020)146.
Ebert, Markus A., Mistlberger, Bernhard, & Vita, Gherardo. Transverse momentum dependent PDFs at N3LO. United States. https://doi.org/10.1007/jhep09(2020)146
Ebert, Markus A., Mistlberger, Bernhard, and Vita, Gherardo. Tue . "Transverse momentum dependent PDFs at N3LO". United States. https://doi.org/10.1007/jhep09(2020)146. https://www.osti.gov/servlets/purl/1712428.
@article{osti_1712428,
title = {Transverse momentum dependent PDFs at N3LO},
author = {Ebert, Markus A. and Mistlberger, Bernhard and Vita, Gherardo},
abstractNote = {We compute the quark and gluon transverse momentum dependent parton distribution functions at next-to-next-to-next-to-leading order (N3LO) in perturbative QCD. Our calculation is based on an expansion of the differential Drell-Yan and gluon fusion Higgs production cross sections about their collinear limit. This method allows us to employ cutting edge multiloop techniques for the computation of cross sections to extract these universal building blocks of the collinear limit of QCD. The corresponding perturbative matching kernels for all channels are expressed in terms of simple harmonic polylogarithms up to weight five. As a byproduct, we confirm a previous computation of the soft function for transverse momentum factorization at N3LO. Our results are the last missing ingredient to extend the qT subtraction methods to N3LO and to obtain resummed qT spectra at N3LL' accuracy both for gluon as well as for quark initiated processes.},
doi = {10.1007/jhep09(2020)146},
url = {https://www.osti.gov/biblio/1712428}, journal = {Journal of High Energy Physics (Online)},
issn = {1029-8479},
number = 9,
volume = 2020,
place = {United States},
year = {2020},
month = {9}
}

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Works referenced in this record:

Second order logarithmic corrections to the Drell-Yan cross-section
journal, December 1988


Integration by parts: The algorithm to calculate β-functions in 4 loops
journal, November 1981


Analytic next-to-leading order calculation of energy-energy correlation in gluon-initiated Higgs decays
journal, June 2019


NLO Higgs boson rapidity distributions at hadron colliders
journal, March 2003


Automatic Feynman Graph Generation
journal, April 1993


The Hb b ¯ $$ Hb\overline{b} $$ form factor to three loops in QCD
journal, September 2014


Transverse parton distribution and fragmentation functions at NNLO: the quark case
journal, October 2019


Multiloop Integrals in Dimensional Regularization Made Simple
journal, June 2013


Subleading power rapidity divergences and power corrections for qT
journal, April 2019


Fermionic Glauber operators and quark reggeization
journal, February 2018


Effective gauge theory and the effect of heavy quarks in Higgs boson decays
journal, March 1983


Higgs boson production at the LHC using the qT subtraction formalism at N3LO QCD
journal, February 2019


Non-perturbative structure of semi-inclusive deep-inelastic and Drell-Yan scattering at small transverse momentum
journal, June 2020


Resummation improved rapidity spectrum for gluon fusion Higgs production
journal, May 2017


Impact of isolation and fiducial cuts on qT and N-jettiness subtractions
journal, March 2020


Electroweak gauge-boson production at small q T : Infrared safety from the collinear anomaly
journal, February 2012


Higgs boson production at hadron colliders at N3LO in QCD
journal, May 2018


Transverse Parton Distribution Functions at Next-to-Next-to-Leading Order: The Quark-to-Quark Case
journal, December 2012


Higher-twist corrections to gluon TMD factorization
journal, July 2017


Rapidity Renormalization Group
journal, April 2012


An effective field theory for forward scattering and factorization violation
journal, August 2016


Power corrections to TMD factorization for Z-boson production
journal, May 2018


The three-loop splitting functions in QCD: the singlet case
journal, July 2004


Gluon TMD in particle production from low to moderate x
journal, June 2016


Differential Higgs production at N3LO beyond threshold
journal, January 2018


Soft triple-real radiation for Higgs production at N3LO
journal, July 2013


Resummation of transverse momentum distributions in distribution space
journal, February 2017


Remarks on Higgs-boson interactions with nucleons
journal, October 1978


Unpolarized transverse momentum dependent parton distribution and fragmentation functions at next-to-next-to-leading order
journal, September 2016


Combining Q T and small- x resummations
journal, March 2016


A subleading operator basis and matching for gg → H
journal, July 2017


Higgs-differential cross section at NNLO in dimensional regularisation
journal, July 2017


Factorization theorem for Drell-Yan at low q T and transverse-momentum distributions on-the-light-cone
journal, July 2012


Decays of Heavy Vector Mesons into Higgs Particles
journal, November 1977


Harmonic Polylogarithms
journal, February 2000


Transverse momentum dependent parton distributions at small-x
journal, August 2017


Two-loop splitting amplitudes and the single-real contribution to inclusive Higgs production at N3LO
journal, February 2015


Transverse parton distribution and fragmentation functions at NNLO: the gluon case
journal, January 2020


Subleading power resummation of rapidity logarithms: the energy-energy correlator in $$ \mathcal{N} $$ = 4 SYM
journal, July 2020


Simplicity from recoil: the three-loop soft function and factorization for the energy-energy correlation
journal, August 2018


Back-to-back jets: Fourier transform from b to kT
journal, April 1982


Soft expansion of double-real-virtual corrections to Higgs production at N3LO
journal, August 2015


Transverse momentum distribution in Drell-Yan pair and W and Z boson production
journal, January 1985


A formalism for the systematic treatment of rapidity logarithms in Quantum Field Theory
journal, May 2012


The gell-mann-low function of QCD in the three-loop approximation
journal, June 1980


The calculation of the second order soft and virtual contributions to the Drell-Yan cross section
journal, June 1989


Building blocks for subleading helicity operators
journal, May 2016


Calculation of the quark and gluon form factors to three loops in QCD
journal, June 2010


The three-loop splitting functions in QCD: the non-singlet case
journal, June 2004


The two-loop soft current in dimensional regularization
journal, December 2013


Higgs Boson Gluon-Fusion Production in QCD at Three Loops
journal, May 2015


Higgs-boson production at small transverse momentum
journal, May 2013


Renormalization of the Wilson loops beyond the leading order
journal, January 1987


A subleading power operator basis for the scalar quark current
journal, April 2018