Analytic results for Sudakov form factors in QCD

Abstract

Sudakov form factors appear ubiquitously in factorized cross sections where they allow one to resum large logarithms to all orders in perturbation theory. Their exact evaluation requires numerical integrals over anomalous dimensions, which in practice can hamper efficiency. Alternatively, one can use approximate analytic solutions, which provide fast evaluation at the cost of numerical precision and loss of properties such as renormalization group invariance. We provide an exact analytic expression of the QCD Sudakov form factor which allows one to obtain fast and numerically exact results.

References in corpus (42)

• Five-Loop Running of the QCD coupling constant
• Measurement of the $Z/{\gamma }^{\ast }$ boson transverse momentum distribution in $pp$ collisions at $\sqrt{s}$ = 7 TeV with the ATLAS detector
• The five-loop beta function of Yang-Mills theory with fermions
• Thrust at N^3LL with Power Corrections and a Precision Global Fit for alphas(mZ)
• A precise determination of alpha_s from LEP thrust data using effective field theory
• Measurement of the transverse momentum and ${\varphi }_{\eta }^{\ast }$ distributions of Drell-Yan lepton pairs in proton-proton collisions at $\sqrt{s}=8$ TeV with the ATLAS detector
• Measurement of the Rapidity and Transverse Momentum Distributions of Z Bosons in pp Collisions at sqrt(s)=7 TeV
• Transverse-momentum-dependent parton distributions up to N${}^3$LL from Drell-Yan data
• Non-perturbative structure of semi-inclusive deep-inelastic and Drell-Yan scattering at small transverse momentum
• NLL+NNLO predictions for jet-veto efficiencies in Higgs-boson and Drell-Yan production
• Resummation of heavy jet mass and comparison to LEP data
• Combining Higher-Order Resummation with Multiple NLO Calculations and Parton Showers in GENEVA
• Drell-Yan Production at NNLL'+NNLO Matched to Parton Showers
• Fiducial distributions in Higgs and Drell-Yan production at N${}^3$LL+NNLO
• Factorization and NNLL Resummation for Higgs Production with a Jet Veto
• C-parameter Distribution at N${}^3$LL${}^{\prime }$ including Power Corrections
• Comparing and Counting Logs in Direct and Effective Methods of Resummation
• Measurement of the Z boson differential cross section in transverse momentum and rapidity in proton-proton collisions at 8 TeV
• Matching Fully Differential NNLO Calculations and Parton Showers
• Drell-Yan lepton-pair production: $q_T$ resummation at N${}^3$LL accuracy and fiducial cross sections at N${}^3$LO
• Resummation of Transverse Momentum Distributions in Distribution Space
• The back-to-back region in e^+e^- energy--energy correlation
• MiNNLO${}_{\text{PS}}$: A new method to match NNLO QCD to parton showers
• Drell-Yan $q_T$ Resummation of Fiducial Power Corrections at N${}^3$LL
• Precise QCD Description of the Higgs Boson Transverse Momentum Spectrum
• The transverse momentum spectrum of weak gauge bosons at N${}^3$LL+NNLO
• Resummation Properties of Jet Vetoes at the LHC
• Higgs $p_T$ Spectrum and Total Cross Section with Fiducial Cuts at Third Resummed and Fixed Order in QCD
• Measurement of the transverse momentum spectra of weak vector bosons produced in proton-proton collisions at sqrt(s) = 8 TeV
• Fiducial $q_T$ resummation of color-singlet processes at N${}^3$LL+NNLO
• Toward Multi-Differential Cross Sections: Measuring Two Angularities on a Single Jet
• $e^{+}{e}^{-}$ angularity distributions at NNLL${}^{\prime }$ accuracy
• Fiducial Higgs and Drell-Yan distributions at N${}^3$LL${}^{\prime }$+NNLO with RadISH
• Higgs transverse momentum with a jet veto: a double-differential resummation
• The Energy-Energy Correlation in the back-to-back limit at N${}^3$LO and N${}^3$LL${}^{\prime }$
• The $q_T$ and $\Delta \varphi$ spectra in W and Z production at the LHC at N${}^3$LL'+N${}^2$LO
• Joint Two-Dimensional Resummation in $q_T$ and $0$-Jettiness at NNLL
• Joint resummation of two angularities at next-to-next-to-leading logarithmic order
• Matching NNLO to parton shower using N${}^3$LL colour-singlet transverse momentum resummation in GENEVA
• Advancing MiNNLO${}_{\mathrm{PS}}$ to diboson processes: $Z\gamma$ production at NNLO+PS
• Higher-Order Sudakov Resummation in Coupled Gauge Theories
• Jet Veto Resummation with Jet Rapidity Cuts

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