Matching factorization theorems with an inverse-error weighting

Abstract

We propose a new fast method to match factorization theorems applicable in different kinematical regions, such as the transverse-momentum-dependent and the collinear factorization theorems in Quantum Chromodynamics. At variance with well-known approaches relying on their simple addition and subsequent subtraction of double-counted contributions, ours simply builds on their weighting using the theory uncertainties deduced from the factorization theorems themselves. This allows us to estimate the unknown complete matched cross section from an inverse-error-weighted average. The method is simple and provides an evaluation of the theoretical uncertainty of the matched cross section associated with the uncertainties from the power corrections to the factorization theorems (additional uncertainties, such as the nonperturbative ones, should be added for a proper comparison with experimental data). Its usage is illustrated with several basic examples, such as $Z$ boson, $W$ boson, $H^0$ boson and Drell-Yan lepton-pair production in hadronic collisions, and compared to the state-of-the-art Collins-Soper-Sterman subtraction scheme. It is also not limited to the transverse-momentum spectrum, and can straightforwardly be extended to match any (un)polarized cross section differential in other variables, including multi-differential measurements.

9 pages, 2 figures. v2: accepted for publication in PLB

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Cited by in corpus (20)

• Transverse-momentum-dependent parton distributions up to N${}^3$LL from Drell-Yan data
• Unpolarized Transverse Momentum Distributions from a global fit of Drell-Yan and Semi-Inclusive Deep-Inelastic Scattering data
• Lepton-jet Correlations in Deep Inelastic Scattering at the Electron-Ion Collider
• Studies of gluon TMDs and their evolution using quarkonium-pair production at the LHC
• Difficulties in the description of Drell-Yan processes at moderate invariant mass and high transverse momentum
• Effect of flavor-dependent partonic transverse momentum on the determination of the $W$ boson mass in hadronic collisions
• Azimuthal asymmetries in unpolarized SIDIS and Drell-Yan processes: a case study towards TMD factorization at subleading twist
• Predictive power of transverse-momentum-dependent distributions
• The Jet Shape at NLL${}^{\prime }$
• Prospects for quarkonium studies at the high-luminosity LHC
• Universality-breaking effects in $e^{+}{e}^{-}$ hadronic production processes
• Matching next-to-leading-order and high-energy-resummed calculations of heavy-quarkonium-hadroproduction cross sections
• The resolution to the problem of consistent large transverse momentum in TMDs
• Collinear Factorization in Wide-Angle Hadron Pair Production in $e^{+}{e}^{-}$ Annihilation
• Perturbative $T$-odd asymmetries in the Drell-Yan process revisited
• Production of $S$-wave charmonia in the soft gluon resummation approach using the NRQCD
• Associated production of $J/\psi$ and direct photon in the NRQCD and the ICEM using the high-energy factorization
• Non-perturbative uncertainties on the transverse momentum distribution of electroweak bosons and on the determination of the $W$ boson mass at the LHC
• How much joint resummation do we need?
• Kinematic regions in the $e^{+}{e}^{-}\to hX$ factorized cross section in a $2$-jet topology with thrust