Subtraction terms for one-loop amplitudes with one unresolved parton

Abstract

Fully differential next-to-next-to-leading order calculations require a method to cancel infrared singularities. In a previous publication, I discussed the general setup for the subtraction method at NNLO. In this paper I give all subtraction terms for electron-positron annihilation associated with one-loop amplitudes with one unresolved parton. These subtraction terms are integrated within dimensional regularization over the unresolved one-particle phase space. The results can be used with all variants of dimensional regularization (conventional dimensional regularization, the 't Hooft-Veltman scheme and the four-dimensional scheme).

27 pages

References in corpus (1)

• Dilepton rapidity distribution in the Drell-Yan process at NNLO in QCD

Cited by in corpus (62)

• An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC
• High-precision QCD at hadron colliders: electroweak gauge boson rapidity distributions at NNLO
• Vector boson production at hadron colliders: a fully exclusive QCD calculation at NNLO
• Antenna Subtraction at NNLO
• Automatic Integral Reduction for Higher Order Perturbative Calculations
• Fully differential Higgs boson production and the di-photon signal through next-to-next-to-leading order
• NNLO predictions for the Higgs boson signal in the H->WW->lnu lnu and H->ZZ->4l decay channels
• Associated WH production at hadron colliders: a fully exclusive QCD calculation at NNLO
• Two-Loop g -> gg Splitting Amplitudes in QCD
• A new method for real radiation at NNLO
• NNLO corrections to 3-jet observables in electron-positron annihilation
• Gluon-Gluon Antenna Functions from Higgs Boson Decay
• Infrared Structure of $e^{+}{e}^{-}\to 2$ jets at NNLO
• Quark-Gluon Antenna Functions from Neutralino Decay
• Numerical evaluation of phase space integrals by sector decomposition
• Antenna subtraction at NNLO with hadronic initial states: initial-final configurations
• Jet production in the CoLoRFulNNLO method: event shapes in electron-positron collisions
• Four-Particle Phase Space Integrals in Massless QCD
• Event shapes and jet rates in electron-positron annihilation at NNLO
• Antenna subtraction at NNLO with hadronic initial states: double real initial-initial configurations
• Expansion around half-integer values, binomial sums and inverse binomial sums
• Two-loop splitting functions in QCD
• Polarized QED splittings of massive fermions and dipole subtraction for non-collinear-safe observables
• Matching of Singly- and Doubly-Unresolved Limits of Tree-level QCD Squared Matrix Elements
• Antenna subtraction at NNLO with hadronic initial states: real-virtual initial-initial configurations
• A subtraction scheme for computing QCD jet cross sections at NNLO: regularization of doubly-real emissions
• A subtraction scheme for computing QCD jet cross sections at NNLO: regularization of real-virtual emission
• Subtraction at NNLO
• Higgs boson decay into b-quarks at NNLO accuracy
• W boson production at hadron colliders: the lepton charge asymmetry in NNLO QCD
• Antenna subtraction for gluon scattering at NNLO
• The massless two-loop two-point function
• Real radiation at NNLO: e^+e^- to 2 jets through O(alpha_s^2)
• Theoretical uncertainties on alpha_s from event-shape variables in e+e- annihilations
• The infrared structure of e+ e- --> 3 jets at NNLO reloaded
• A subtraction scheme for computing QCD jet cross sections at NNLO: integrating the iterated singly-unresolved subtraction terms
• Subtraction with hadronic initial states at NLO: an NNLO-compatible scheme
• Moments of event shapes in electron-positron annihilation at NNLO
• Real-Virtual corrections for gluon scattering at NNLO
• Subtraction Terms for Hadronic Production Processes at Next-to-Next-to-Leading Order
• Electroweak prodution of top-quark pairs in e+e- annihilation at NNLO in QCD: the vector contributions
• NNLO QCD subtraction for top-antitop production in the $q\bar{q}$ channel
• The real radiation antenna function for $S\to Q\bar{Q}q\bar{q}$ at NNLO QCD
• The forward-backward asymmetry at NNLO revisited
• NNLO corrections to 2-jet observables in electron-positron annihilation
• Jet algorithms in electron-positron annihilation: Perturbative higher order predictions
• Infrared structure of $e^{+}{e}^{-}\to 3$ jets at NNLO - the $C_F^2$ contribution
• An alternative subtraction scheme for next-to-leading order QCD calculations
• Towards e+e- --> 3 jets at NNLO by sector decomposition
• A general algorithm to build mixed real and virtual antenna functions for higher-order calculations
• Light fermionic NNLO QCD corrections to top-antitop production in the quark-antiquark channel
• Locally finite two-loop QCD amplitudes from IR universality for electroweak production
• A numerical approach to infrared divergent multi-parton phase space integrals
• Does one need the O(epsilon)- and O(epsilon^2)-terms of one-loop amplitudes in an NNLO calculation ?
• Nagy-Soper subtraction scheme for multiparton final states
• Status of jet cross sections to NNLO
• Automated calculations for multi-leg processes
• NNLO jet cross sections by subtraction
• QCD: Theoretical Developments
• The real radiation antenna functions for $S\to Q\bar{Q}gg$ at NNLO QCD
• Progress on NNLO subtraction
• Infrared finite cross sections at NNLO