An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC

Abstract

We consider higher-order QCD corrections to the production of colourless high-mass systems (lepton pairs, vector bosons, Higgs bosons,...) in hadron collisions. We propose a new formulation of the subtraction method to numerically compute arbitrary infrared-safe observables for this class of processes. To cancel the infrared divergences, we exploit the universal behaviour of the associated transverse-momentum (q_T) distributions in the small-q_T region. The method is illustrated in general terms up to the next-to-next-to-leading order (NNLO) in QCD perturbation theory. As a first explicit application, we study Higgs boson production through gluon fusion. Our calculation is implemented in a parton level Monte Carlo program that includes the decay of the Higgs boson in two photons. We present selected numerical results at the LHC.

References added

References in corpus (4)

• Electroweak gauge boson production at hadron colliders through O(alpha_s^2)
• The W boson production cross section at the LHC through O(alpha_s^2)
• NNLO corrections to 2-jet observables in electron-positron annihilation
• Infrared structure of $e^{+}{e}^{-}\to 3$ jets at NNLO: QED-type contributions

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• QED and QCD self-energy corrections through the loop-tree duality
• Accurate prediction of the ${\varphi }_{\eta }^{\ast }$ distribution for the forward Z boson production in pp collisions through NNLO+N${}^3$LL
• Measurements and interpretations of $W^{\pm }Z$ production cross-sections in $pp$ collisions at $\sqrt{s}=$ 13 TeV with the ATLAS detector
• The Unresolved Behaviour of Polarized Scattering Matrix Elements at NNLO in QCD
• Two-loop scattering amplitude for heavy-quark pair production through light-quark annihilation in QCD
• At the Frontier of Precision QCD in the LHC Era
• Measurements of Higgs boson production cross section in the four-lepton final state in proton-proton collisions at $\sqrt{s}$ = 13.6 TeV
• Measurement of $W^{\pm }$-boson differential cross-sections in proton-proton collisions with low pile-up data at $\sqrt{s}=5.02$ TeV and $13$ TeV with the ATLAS detector
• Measurements of the production cross-sections of a Higgs boson in association with a vector boson and decaying into $W{W}^{\ast }$ with the ATLAS detector at $\sqrt{s}=13$ TeV
• Study of anomalous gauge boson self-couplings and the role of spin-$1$ polarizations
• Universal Decomposition of Phase-Space Integrands
• TMDs: Evolution, modeling, precision
• Integral of the double-emission eikonal function for a massive and a massless emitter at an arbitrary angle
• The Drell-Yan Process at NNLL${}^{\prime }$+NNLO using Rapidity Dependent Jet Vetoes
• Constraining off-shell Higgs boson production and the Higgs boson total width using $WW\to \ell \nu \ell \nu$ final states with the ATLAS detector
• Higgs boson production at the LHC: fast and precise predictions in QCD at higher orders
• $\text{history}$: A tool for fully-differential cross sections at next-to-next-to-leading order
• Predictions of the ratio and asymmetry probes of the invisible $Z$-boson decay
• Measurements of $W^{+}{W}^{-}$ production cross-sections in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Top-Yukawa contributions to $pp\to b\bar{b}H$: two-loop leading-colour amplitudes
• QCD Beyond Leading Power
• NLO cross sections in 4 dimensions without DREG
• Monte Carlo Event Generators for Future Lepton Colliders
• NNLO QCD predictions of the asymmetry probe of the $Z\gamma$ pair-production process
• Fully differential Higgs boson pair production at N${}^3$LO with top quark mass effects
• Determination of the parton distribution functions of the proton using diverse ATLAS data from $pp$ collisions at $\sqrt{s}=7$, 8 and 13 TeV
• Search for squarks and gluinos in $pp$ collisions at $\sqrt{s}=13$ TeV and $13.6$ TeV in events with $\tau$-leptons, jets and missing transverse momentum using the ATLAS detector
• Search for a resonance decaying into a scalar particle and a Higgs boson in final states with leptons and two photons in proton-proton collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Search for Higgs boson decays into a $Z$ boson and a light hadronically decaying resonance in $pp$ collisions at $\sqrt{s}$=13 TeV with the ATLAS detector
• Local analytic sector subtraction for final state radiation at NNLO
• Higher-Order Corrections to Higgs Boson Amplitudes with Full Quark Mass Dependence in Quantum Chromodynamics
• Two-loop tensor integral coefficients in OpenLoops
• Two-loop mixed QCD-EW corrections to neutral current Drell-Yan
• Mass biases in reconstructing exclusive radiative hadronic decays of W bosons at the LHC
• Applications of higher order QCD
• CoLoRFulNNLO for hadron collisions: integrating the iterated single unresolved subtraction terms