skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Bootstrapping rapidity anomalous dimensions for transverse-momentum resummation

Journal Article · · Physical Review Letters
 [1];  [2]
  1. Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
  2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Soft function relevant for transverse-momentum resummation for Drell-Yan or Higgs production at hadron colliders are computed through to three loops in the expansion of strong coupling, with the help of bootstrap technique and supersymmetric decomposition. The corresponding rapidity anomalous dimension is extracted. Furthermore, an intriguing relation between anomalous dimensions for transverse-momentum resummation and threshold resummation is found.

Research Organization:
Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
AC02-07CH11359; SC0011090
OSTI ID:
1289921
Alternate ID(s):
OSTI ID: 1339015
Report Number(s):
MIT-CTP-4796; FERMILAB-PUB-16-067-PPD-T; arXiv:1604.01404; PRLTAO; 1444349
Journal Information:
Physical Review Letters, Vol. 118, Issue 2; ISSN 0031-9007
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 56 works
Citation information provided by
Web of Science

References (101)

Factorization and resummation of Higgs boson differential distributions in soft-collinear effective theory journal May 2010
Next-to-Next-to-Leading-Order Logarithmic Corrections at Small Transverse Momentum in Hadronic Collisions journal November 2000
Integration by parts: The algorithm to calculate β-functions in 4 loops journal November 1981
Small transverse momentum distributions in hard processes journal August 1979
Infrared divergences in perturbative QCD conference January 1981
Single soft gluon emission at two loops journal November 2013
W and Z transverse momentum distributions: resummation in qT-space journal February 1998
QCD factorization for semi-inclusive deep-inelastic scattering at low transverse momentum journal February 2005
Decoupling relations to O(α3s) and their connection to low-energy theorems journal January 1998
Exclusive soft function for Drell-Yan at next-to-next-to-leading order journal November 2011
An effective field theory for collinear and soft gluons: Heavy to light decays journal May 2001
Model independent evolution of transverse momentum dependent distribution functions (TMDs) at NNLL journal November 2013
Analytic regularization in Soft-Collinear Effective Theory journal June 2012
Quark and Gluon Form Factors to Three Loops journal May 2009
Electroweak gauge-boson production at small q T : Infrared safety from the collinear anomaly journal February 2012
Analytic results for massless three-loop form factors journal April 2010
HPL, a Mathematica implementation of the harmonic polylogarithms journal February 2006
Automatic Integral Reduction for Higher Order Perturbative Calculations journal July 2004
Rapidity Renormalization Group journal April 2012
Drell-Yan cross sections at small transverse momentum journal January 1985
High-Precision Calculation of Multiloop Feynman Integrals by Difference Equations journal December 2000
Systematics of the cusp anomalous dimension journal November 2012
Bootstrapping the three-loop hexagon journal November 2011
Soft-virtual corrections to Higgs production at N 3 LO journal February 2015
Errata journal March 1983
QCD Prediction for Heavy Boson Transverse Momentum Distributions journal March 2001
Non-leading corrections to the Drell-Yan cross section at small transverse momentum journal October 1984
Transverse-momentum resummation and the spectrum of the Higgs boson at the LHC journal March 2006
Loop-space formalism and renormalization group for the infrared asymptotics of QCD journal May 1986
Exponentiation of eikonal cross sections in nonabelian gauge theories journal December 1983
Soft triple-real radiation for Higgs production at N3LO journal July 2013
Calculation of the transverse parton distribution functions at next-to-next-to-leading order journal June 2014
Gauge fields as rings of glue journal January 1980
Back-to-back jets in QCD journal December 1981
Summing Sudakov logarithms in B X s γ in effective field theory journal December 2000
Supersymmetric regularization, two-loop QCD amplitudes, and coupling shifts journal October 2002
Factorization theorem for Drell-Yan at low q T and transverse-momentum distributions on-the-light-cone journal July 2012
Harmonic Polylogarithms journal February 2000
Next-to-Next-to-Leading-Order Subtraction Formalism in Hadron Collisions and its Application to Higgs-Boson Production at the Large Hadron Collider journal May 2007
Drell–Yan production at small q T , transverse parton distributions and the collinear anomaly journal June 2011
Transverse momentum resummation in soft collinear effective theory journal December 2005
Transverse momentum dependent parton distribution and fragmentation functions with QCD evolution journal June 2011
Back-to-back jets: Fourier transform from b to kT journal April 1982
Soft-collinear effective theory and heavy-to-light currents beyond leading power journal November 2002
No generalized transverse momentum dependent factorization in the hadroproduction of high transverse momentum hadrons journal May 2010
Hard scattering factorization from effective field theory journal July 2002
Differential cross section for Higgs boson production including all-orders soft gluon resummation journal February 2003
Algorithm FIRE—Feynman Integral REduction journal October 2008
On the calculation of soft phase space integral journal February 2015
W and Z production at next-to-leading order: From large qT to small journal February 1991
Soft expansion of double-real-virtual corrections to Higgs production at N3LO journal August 2015
Analytic two-loop form factors in $ \mathcal{N} = 4 $ SYM journal May 2012
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
Nonperturbative regime in QCD resummation for gauge boson production at hadron colliders journal October 1994
Soft gluon effects on lepton pairs at hadron colliders journal November 1997
Universality of non-leading logarithmic contributions in transverse-momentum distributions journal February 2001
High precision determination of the gluon fusion Higgs boson cross-section at the LHC journal May 2016
Non-abelian eikonal exponentiation journal November 1984
Transverse momentum distribution through soft-gluon resummation in effective field theory journal October 2005
N 3 LO Higgs boson and Drell-Yan production at threshold: The one-loop two-emission contribution journal September 2014
The four-loop cusp anomalous dimension in $ \mathcal{N} $ = 4 super Yang-Mills and analytic integration techniques for Wilson line integrals journal September 2013
On the transverse momentum distribution of massive lepton pairs journal November 1978
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 three-loop form factor in $ \mathcal{N} = {4} $ super Yang-Mills journal March 2012
The two-loop soft current in dimensional regularization journal December 2013
Rapidity renormalized TMD soft and beam functions at two loops journal March 2016
Soft-collinear factorization in effective field theory journal February 2002
Calculation of the quark and gluon form factors to three loops in QCD text January 2010
QCD Prediction for Heavy Boson Transverse Momentum Distributions text January 2001
Soft triple-real radiation for Higgs production at N3LO text January 2013
Soft expansion of double-real-virtual corrections to Higgs production at N3LO text January 2015
High precision determination of the gluon fusion Higgs boson cross-section at the LHC text January 2016
The two-loop soft current in dimensional regularization text January 2013
High precision determination of the gluon fusion Higgs boson cross-section at the LHC text January 2016
Calculation of the transverse parton distribution functions at next-to-next-to-leading order text January 2014
Quark and gluon form factors to three loops text January 2009
Factorization and Resummation of Higgs Boson Differential Distributions in Soft-Collinear Effective Theory text January 2009
An Exclusive Soft Function for Drell-Yan at Next-to-Next-to-Leading Order text January 2011
Bootstrapping the three-loop hexagon text January 2011
Electroweak Gauge-Boson Production at Small q_T: Infrared Safety from the Collinear Anomaly text January 2011
Factorization Theorem For Drell-Yan At Low q_T And Transverse-Momentum Distributions On-The-Light-Cone text January 2011
Analytic Regularization in Soft-Collinear Effective Theory text January 2011
A Formalism for the Systematic Treatment of Rapidity Logarithms in Quantum Field Theory text January 2012
Systematics of the cusp anomalous dimension text January 2012
On the calculation of soft phase space integral text January 2015
Next-to-next-to-leading logarithmic corrections at small transverse momentum in hadronic collisions text January 2000
An effective field theory for collinear and soft gluons: heavy to light decays text January 2000
Soft-Collinear Factorization in Effective Field Theory text January 2001
Hard Scattering Factorization from Effective Field Theory text January 2002
Supersymmetric Regularization, Two-Loop QCD Amplitudes and Coupling Shifts text January 2002
Soft-collinear effective theory and heavy-to-light currents beyond leading power text January 2002
The Three-Loop Splitting Functions in QCD: The Non-Singlet Case text January 2004
QCD Factorization for Semi-Inclusive Deep-Inelastic Scattering at Low Transverse Momentum text January 2004
Automatic Integral Reduction for Higher Order Perturbative Calculations text January 2004
Transverse Momentum Distribution Through Soft-Gluon Resummation in Effective Field Theory text January 2005
Soft gluon effects on lepton pairs at hadron colliders text January 1997
W and Z transverse momentum distributions: resummation in qT-space text January 1997
Decoupling Relations to O(alpha_s^3) and their Connection to Low-Energy Theorems text January 1997
Harmonic Polylogarithms text January 1999

Cited By (28)

Subleading power rapidity divergences and power corrections for qT journal April 2019
Tr(F3) supersymmetric form factors and maximal transcendentality. Part I. N$$ \mathcal{N} $$ = 4 super Yang-Mills journal December 2018
Quark beam function at next-to-next-to-next-to-leading order in perturbative QCD in the generalized large- N c approximation journal December 2019
Scattering Amplitudes from Superconformal Ward Identities journal July 2018
Analytic Two-Loop Higgs Amplitudes in Effective Field Theory and the Maximal Transcendentality Principle journal September 2018
Matching of transverse momentum dependent distributions at twist-3 journal October 2018
The transverse momentum spectrum of weak gauge bosons at N$${}^3$$3LL + NNLO journal October 2019
Modeling BSM effects on the Higgs transverse-momentum spectrum in an EFT approach text January 2017
Soft factors for double parton scattering at NNLO text January 2016
Matching of transverse momentum dependent distributions at twist-3 text January 2018
Pion-induced Drell-Yan processes within TMD factorization text January 2019
Modeling BSM effects on the Higgs transverse-momentum spectrum in an EFT approach text January 2017
Fiducial distributions in Higgs and Drell-Yan production at N3LL+NNLO text January 2018
Subleading Power Rapidity Divergences and Power Corrections for $q_T$ text January 2019
Structure of rapidity divergences in multi-parton scattering soft factors text January 2018
Quark beam function at next-to-next-to-next-to-leading order in perturbative QCD in the generalized large-approximation text January 2019
Subleading Power Rapidity Divergences and Power Corrections for $q_T$ text January 2018
Fiducial distributions in Higgs and Drell-Yan production at N3LL+NNLO text January 2018
Soft factors for double parton scattering at NNLO text January 2016
Two-Loop SL(2) Form Factors and Maximal Transcendentality text January 2016
The Principle of Maximal Transcendentality and the Four-Loop Collinear Anomalous Dimension text January 2017
$\text{Tr}(F^3)$ supersymmetric form factors and maximal transcendentality Part I: $\mathcal{N}=4$ super Yang-Mills text January 2018
Rationalizing Loop Integration text January 2018
Transverse momentum dependent distributions with jets text January 2018
Determining the Nonperturbative Collins-Soper Kernel From Lattice QCD text January 2018
Transverse momentum dependent distributions in $e^+e^-$ and semi-inclusive deep-inelastic scattering using jets text January 2019
Relating amplitude and PDF factorisation through Wilson-line geometries text January 2019
Quark beam function at next-to-next-to-next-to-leading order in perturbative QCD in the generalized large-$N_c$ approximation text January 2019

Similar Records

An exponential regulator for rapidity divergences
Journal Article · Sun Nov 01 00:00:00 EDT 2020 · Nuclear Physics. B · OSTI ID:1289921

Fiducial Drell-Yan production at the LHC improved by transverse-momentum resummation at N 4 L L p + N 3 LO
Journal Article · Fri Jan 27 00:00:00 EST 2023 · Physical Review D · OSTI ID:1289921

Two-Loop Soft Anomalous Dimensions and Next-to-Next-to-Leading-Logarithm Resummation for Heavy Quark Production
Journal Article · Fri Jun 12 00:00:00 EDT 2009 · Physical Review Letters · OSTI ID:1289921