Fiducial Higgs and Drell-Yan distributions at N${}^3$LL${}^{\prime }$+NNLO with RadISH

Abstract

We present state-of-the-art predictions for transverse observables relevant to colour-singlet production at the LHC, in particular the transverse momentum of the colour singlet in gluon-fusion Higgs production and in neutral Drell-Yan lepton-pair production, as well as the ${\varphi }_{\eta }^{\ast }$ observable in Drell Yan. We perform a next-to-next-to-next-to-leading logarithmic (N${}^3$LL) resummation of such observables in momentum space according to the RadISH formalism, consistently including in our prediction all constant terms of relative order ${\alpha }_s^3$ with respect to the Born, thereby achieving N${}^3$LL${}^{\prime }$ accuracy. The calculation is fully exclusive with respect to the Born kinematics, which allows the application of arbitrary fiducial selection cuts on the decay products of the colour singlet. We supplement our results with a transverse-recoil prescription, accounting for dominant classes of subleading-power corrections in a fiducial setup. The resummed predictions are matched with fixed-order differential spectra at next-to-next-to-leading order (NNLO) accuracy. A phenomenological comparison is carried out with 13 TeV LHC data relevant to the Higgs to di-photon channel, as well as to neutral Drell-Yan lepton-pair production. Overall, the inclusion of $\mathcal{O}({\alpha }_s^3)$ constant terms, and to a lesser extent of transverse-recoil effects, proves beneficial for the comparison of theoretical predictions to data, leaving a residual theoretical uncertainty in the resummation region at the 2-5% level for Drell-Yan observables, and 5-7% in Higgs production.

35 pages, 9 figures. Journal version

References in corpus (38)

• Parton distributions for the LHC
• LHAPDF6: parton density access in the LHC precision era
• Parton distributions in the LHC era: MMHT 2014 PDFs
• An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC
• Vector boson production at hadron colliders: a fully exclusive QCD calculation at NNLO
• Higgs boson gluon-fusion production in N3LO QCD
• Electroweak gauge boson production at hadron colliders through O(alpha_s^2)
• FEWZ 2.0: A code for hadronic Z production at next-to-next-to-leading order
• Drell-Yan production at small q_T, transverse parton distributions and the collinear anomaly
• Quark and gluon form factors to three loops
• Production of Drell--Yan lepton pairs in hadron collisions: transverse-momentum resummation at next-to-next-to-leading logarithmic accuracy
• QCD transverse-momentum resummation in gluon fusion processes
• The W boson production cross section at the LHC through O(alpha_s^2)
• Cusp and collinear anomalous dimensions in four-loop QCD from form factors
• The Drell-Yan cross section to third order in the strong coupling constant
• Soft-/rapidity- anomalous dimensions correspondence
• Four-Loop Non-Singlet Splitting Functions in the Planar Limit and Beyond
• NNLO QCD corrections to Higgs boson production at large transverse momentum
• Study of Monte Carlo approach to experimental uncertainty propagation with MSTW 2008 PDFs
• Extraction of unpolarized quark transverse momentum dependent parton distributions from Drell-Yan/Z-boson production
• Optimisation of variables for studying dilepton transverse momentum distributions at hadron colliders
• Resummation of Transverse Momentum Distributions in Distribution Space
• Transverse momentum dependent PDFs at N${}^3$LO
• Charged Current Drell-Yan Production at N3LO
• Drell-Yan $q_T$ Resummation of Fiducial Power Corrections at N${}^3$LL
• Matter dependence of the four-loop cusp anomalous dimension
• Higgs $p_T$ Spectrum and Total Cross Section with Fiducial Cuts at Third Resummed and Fixed Order in QCD
• MiNNLO${}_{\mathrm{PS}}$: Optimizing $2\to 1$ hadronic processes
• Predictions for Drell-Yan ϕ* and Q_T observables at the LHC
• Fiducial $q_T$ resummation of color-singlet processes at N${}^3$LL+NNLO
• Precise predictions for the angular coefficients in Z-boson production at the LHC
• Four-loop quark form factor with quartic fundamental colour factor
• Transverse Parton Distribution and Fragmentation Functions at NNLO: the Gluon Case
• Matter dependence of the four-loop QCD cusp anomalous dimension: from small angles to all angles
• Two-loop $gg\to Hg$ amplitude mediated by a nearly massless quark
• Two-loop amplitudes for $qg\to Hq$ and $q\bar{q}\to Hg$ mediated by a nearly massless quark
• The Zγ transverse-momentum spectrum at NNLO+N3LL
• The three-loop singlet contribution to the massless axial-vector quark form factor

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