Erratum to “A general algorithm for calculating jet cross sections in NLO QCD” [Nucl. Phys. B 485 (1997) 291–419]

Abstract

We present a new general algorithm for calculating arbitrary jet cross sections in arbitrary scattering processes to next-to-leading accuracy in perturbative QCD. The algorithm is based on the subtraction method. The key ingredients are new factorization formulae, called dipole formulae, which implement in a Lorentz covariant way both the usual soft and collinear approximations, smoothly interpolating the two. The corresponding dipole phase space obeys exact factorization, so that the dipole contributions to the cross section can be exactly integrated analytically over the whole of phase space. We obtain explicit analytic results for any jet observable in any scattering or fragmentation process in lepton, lepton-hadron or hadron-hadron collisions. All the analytical formulae necessary to construct a numerical program for next-to-leading order QCD calculations are provided. The algorithm is straightforwardly implementable in general purpose Monte Carlo programs.

One-loop singular behaviour of QCD and SUSY QCD amplitudes with massive partons

“…Thus, the singular structure of the loop corrections can be derived from that of the real corrections. Our process-independent calculation of the real corrections is based on the dipole subtraction formalism [6]. In particular, we have explicitly extended the results of Refs.…”

“…The singular behaviour of QCD amplitudes involving massless partons is completely known at one-loop order [4][5][6], and the coefficients of the divergent 1/ǫ n poles for n =2, 3 and 4 are also known for two-loop amplitudes in the most general case [7]. Despite the numerous one-loop calculations involving massive particles that have been performed so far, to our knowledge the general form of the singularities in amplitudes with massive partons has not yet been presented even at one-loop order.…”

“…In particular, we have explicitly extended the results of Refs. [6,9] to the general case of partons with arbitrary masses. In this paper we present only the final results on the singular behavior of one-loop amplitudes.…”

Electroweak production of top-quark pairs ine+e−annihilation at NNLO in QCD: The vector current contributions

“…At NLO, this is relatively straightforward to do and both phase-space slicing [33][34][35][36][37][38][39] and subtraction [40][41][42][43][44][45] techniques which solve the problem were worked out long time ago. However, as is clear from the massive amount of literature on the subject [46,47,, analogous techniques at NNLO are considerably more complicated to develop and complete solutions took much longer to emerge.…”

Multi-jet processes at NLO

“…The automatic generation of the real-emission matrix elements, along with a suitable set of Catani-Seymour [5] subtraction terms, have been implemented [6] in its framework. All the phase-space integrations for the results presented below have been performed using Sherpa's efficient multi-channel phasespace integration.…”