The Dipole Formalism for Next-to-Leading Order QCD Calculations with Massive Partons

Abstract

The dipole subtraction method for calculating next-to-leading order corrections in QCD was originally only formulated for massless partons. In this paper we extend its definition to include massive partons, namely quarks, squarks and gluinos. We pay particular attention to the quasi-collinear region, which gives rise to terms that are enhanced by logarithms of the parton masses, M. By ensuring that our subtraction cross section matches the exact real cross section in all quasi-collinear regions we achieve uniform convergence both for hard scales Q ~= M and Q >> M. Moreover, taking the masses to zero, we exactly reproduce the previously-calculated massless results. We give all the analytical formulae necessary to construct a numerical program to evaluate the next-to-leading order QCD corrections to arbitrary observables in an arbitrary process.

71 pages, LaTeX using axodraw

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• Heavy Flavour Jet Substructure
• NLO QCD and EW corrections to off-shell $\mathrm{tZj}$ production at the LHC
• Probing the littlest Higgs model with $T$ parity using di-Higgs events through $Z_H$-pair production at the LHC in NLO QCD
• Super AutoDipole
• Next-to-leading order QCD corrections for single top-quark production in association with two jets
• The Matrix Element Method at next-to-leading order accuracy
• The dipole formalism for massive initial-state particles and its application to dark matter calculations
• Correlation of top asymmetries: loop versus tree origins
• NLO corrections to triple vector-boson production in final states with three charged leptons and two jets
• Computer Simulations of High Energy Physics
• Electroweak radiative corrections to triple photon production at the ILC
• Heavy Flavor Jet Substructure at Lepton Colliders
• State-of-the-art cross sections for ttH: NNLO predictions matched with NNLL resummation and EW corrections
• Precision study on $ZZ\gamma$ production including $Z$-boson leptonic decays at the ILC
• Cancellation of Infrared Divergences in $e^{+}{e}^{-}\to q\bar{q}g$ in Light Front Coherent State Formalism
• Towards a Fully Automated Differential ${\text{NNLO}}_{\text{EW}}$ Generator for Lepton Colliders
• Differential Heavy Quark Distributions and Correlations in Longitudinally Polarized Deep-Inelastic Scattering
• NLO EW and QCD corrections to polarized ZZ production in the four-charged-lepton channel at the LHC
• Automated computation of scattering amplitudes
• Catani's generalization of collinear factorization breaking
• Decay of the charged Higgs boson and the top quark in two-Higgs-doublet model at NNLO in QCD
• Dipole Splitting Algorithm -- A practical algorithm to use the dipole subtraction procedure --
• The real radiation antenna functions for $S\to Q\bar{Q}gg$ at NNLO QCD
• Electroweak corrections to Higgs boson production via W W fusion at the future LHeC
• A proof algorithm associated with the dipole splitting algorithm
• An Automated Approach for $q\bar{q}\to b\bar{b}b\bar{b}$ at Next-to-Leading Order QCD
• QCD corrections to single top quark production in electron photon interactions
• Subtraction of the $t\bar{t}$ contribution in $tW\bar{b}$ production at the one-loop level
• One-Loop QCD Corrections to $\bar{u}d\to t\bar{t}W$ at $\mathcal{O}({\epsilon }^2)$
• The Forward Physics Facility at the High-Luminosity LHC
• NLO QCD+EW for V+jets
• Heavy Higgs boson resonances and their decay into top quarks at the LHC
• Fully massive Scheme for Jet Production in DIS
• NLO merging in tt+jets
• QCD correction to gluino decay to $t\bar{t}{\tilde{\chi }}_1^0$ in the MSSM
• $\text{history}$: A tool for fully-differential cross sections at next-to-next-to-leading order
• A Consistent Prescription for Combining Perturbative Calculations and Parton Showers in Case of Associated Z b anti-b Hadroproduction
• Electroweak $t\bar{t}$ hadroproduction in the presence of heavy $Z^{\prime }$ and $W^{\prime }$ bosons at NLO QCD in POWHEG
• Reducing negative weights in Monte Carlo event generation with Sherpa
• Monte Carlo Event Generators
• Amplitude Surrogates for Multi-Jet Processes
• Multiparticle amplitudes at one-loop: an algebraic/numeric approach
• Herwig++ 2.5 Release Note
• Next-to-leading order QCD corrections to ttbb production at the LHC
• Complete NLO corrections to off-shell $\mathbf{t}\bar{\mathbf{t}}$ production in the $\mathbf{\ell }+\mathbf{j}$ decay channel
• Event generation at MEPS@NLO accuracy in neutral and charged current DIS at the EIC
• Mixed QCD-EW corrections to $W$-pair production at electron-positron colliders
• Phenomenological studies of top-pair production at Next-to-Leading order
• NLO QCD corrections to pp -> ttbb+X via quark anti-quark annihilation
• $HZ$ associated production at the LHC within the littlest Higgs model at NLO+NLL accuracy
• On a possible measurement of alpha_s from B-Bbar correlations in Z^0 decay
• Applications of higher order QCD
• NNLL resummation for squark-antisquark production
• Automated NLO/NLL Monte Carlo programs for the LHC
• Jet substructure of light and heavy flavor jets at RHIC
• Production of t anti-t b anti-b at the LHC at NLO QCD
• Infrared finite cross sections at NNLO
• Two-loop mixed QCD-EW corrections to neutral current Drell-Yan
• $t\bar{t}jj$ -- NLO QCD corrections to top quark pair production and decays at the LHC
• Determination of the top-quark mass from top-quark pair events with the matrix element method at next-to-leading order: Potential and prospects
• Coloring mixed QCD/QED evolution