Fiducial $q_T$ resummation of color-singlet processes at N${}^3$LL+NNLO

Abstract

We present a framework for $q_T$ resummation at N${}^3$LL+NNLO accuracy for arbitrary color-singlet processes based on a factorization theorem in SCET. Our implementation CuTe-MCFM is fully differential in the Born kinematics and matches to large-$q_T$ fixed-order predictions at relative order ${\alpha }_s^2$. It provides an efficient way to estimate uncertainties from fixed-order truncation, resummation, and parton distribution functions. In addition to $W^{\pm }$, $Z$ and $H$ production, also the diboson processes $\gamma \gamma ,Z\gamma ,ZH$ and $W^{\pm }H$ are available, including decays. We discuss and exemplify the framework with several direct comparisons to experimental measurements as well as inclusive benchmark results. In particular, we present novel results for $\gamma \gamma$ and $Z\gamma$ at N${}^3$LL+NNLO and discuss in detail the power corrections induced by photon isolation requirements.

56 pages, 26 figures

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• Higgs boson production at the LHC: fast and precise predictions in QCD at higher orders
• Dihadron Angular Correlations in the $e^{+}{e}^{-}$ Collision
• Fully differential Higgs boson pair production at N${}^3$LO with top quark mass effects