Linear power corrections for two-body kinematics in the $q_T$ subtraction formalism

Abstract

Transverse-momentum cuts on undistinguished particles in two-body final states induce an enhanced sensitivity to low momentum scales. This undesirable feature, which ultimately leads to an instability of the fixed-order series, poses additional challenges to non-local subtraction schemes. In this letter, we address this issue for general colour-singlet processes within the $q_T$-subtraction formalism, focussing on neutral-current Drell-Yan production. We present a simple procedure to reduce the dependence on the slicing parameter from linear to quadratic, by accounting for the linear power corrections through an appropriate recoil prescription. We observe a dramatical improvement of the numerical convergence and a reduction of the systematic uncertainties. We also discuss how a linear dependence in $q_T$ can be avoided for Drell-Yan production by using staggered cuts, which, to the best of our understanding, could be used in experimental analyses. We show that our approach can be successfully applied also to on-shell $ZZ$ production. We finally study diphoton production and verify that our approach is insufficient to capture the linear power corrections introduced by the isolation procedure. The recoil prescription is available in version 2.1 of MATRIX.

arXiv comment11 pages, 9 figures. Added comparison with local subtraction at NNLO. Version published in Phys.Lett.B

References in corpus (42)

• A General Algorithm for Calculating Jet Cross Sections in NLO QCD
• Parton distributions from high-precision collider data
• An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC
• FEWZ 2.0: A code for hadronic Z production at next-to-next-to-leading order
• Antenna Subtraction at NNLO
• Electron and photon performance measurements with the ATLAS detector using the 2015-2017 LHC proton-proton collision data
• Parton Distribution Functions, ${\alpha }_s$ and Heavy-Quark Masses for LHC Run II
• Isolated photons in perturbative QCD
• Fully differential NNLO computations with MATRIX
• $W$-boson production in association with a jet at next-to-next-to-leading order in perturbative QCD
• Electron and photon reconstruction and identification with the CMS experiment at the CERN LHC
• Measurements of Higgs boson properties in the diphoton decay channel with 36 fb${}^{-1}$ of $pp$ collision data at $\sqrt{s}=13$ TeV with the ATLAS detector
• Infrared Structure at NNLO Using Antenna Subtraction
• Jet photoproduction at HERA
• Precision measurement and interpretation of inclusive $W^{+}$, $W^{-}$ and $Z/{\gamma }^{\ast }$ production cross sections with the ATLAS detector
• $W^{\pm }Z$ production at the LHC: fiducial cross sections and distributions in NNLO QCD
• Giant QCD K-factors beyond NLO
• Transverse-momentum-dependent parton distributions up to N${}^3$LL from Drell-Yan data
• Drell-Yan lepton pair production at NNLO QCD with parton showers
• Measurement and QCD Analysis of Jet Cross Sections in Deep-Inelastic Positron-Proton Collisions at sqrt(s) of 300 GeV
• Higgs boson production at the LHC using the $q_T$ subtraction formalism at N${}^3$LO QCD
• The N-jettiness soft function at next-to-next-to-leading order
• $W^{+}{W}^{-}$ production at the LHC: fiducial cross sections and distributions in NNLO QCD
• Triphoton production at hadron colliders in NNLO QCD
• Measurements of Higgs boson production cross sections and couplings in the diphoton decay channel at $\sqrt{s}=$ 13 TeV
• Measurements of differential Z boson production cross sections in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• Measurement of the differential Drell-Yan cross section in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• The transverse momentum spectrum of weak gauge bosons at N${}^3$LL+NNLO
• Higgs $p_T$ Spectrum and Total Cross Section with Fiducial Cuts at Third Resummed and Fixed Order in QCD
• Fiducial $q_T$ resummation of color-singlet processes at N${}^3$LL+NNLO
• DYTurbo: Fast predictions for Drell-Yan processes
• Dijet Cross Sections at O($\alpha {\alpha }_s^2$) in Photon-Proton Collisions
• Top-quark pair hadroproduction at NNLO: differential predictions with the MSbar mass
• The $q_T$ and $\Delta \varphi$ spectra in W and Z production at the LHC at N${}^3$LL'+N${}^2$LO
• The $q_T$ subtraction method: electroweak corrections and power suppressed contributions
• Matching NNLO to parton shower using N${}^3$LL colour-singlet transverse momentum resummation in GENEVA
• Photoproduction of jets at HERA in next-to-leading order QCD
• Higher-order power corrections in a transverse-momentum cut for colour-singlet production at NLO
• Event-Based Transverse Momentum Resummation
• Precision studies for Drell-Yan processes at NNLO
• Power corrections in a transverse-momentum cut for vector-boson production at NNLO: the $qg$-initiated real-virtual contribution
• Di-jet Event Rates in Deep-Inelastic Scattering at HERA

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