Next-to-leading order cross sections for tagged reactions

Abstract

We extend the phase space slicing method of Giele, Glover and Kosower for performing next-to-leading order jet cross section calculations in two important ways: we show how to include fragmentation functions and how to include massive particles. These extensions allow the application of this method not just to jet cross sections but also to cross sections in which a particular final state particle, including a D or B-meson, is tagged.

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

“…(13)- (18) are important to guarantee the smooth limit in Eq. (8). One can always include additional finite terms in I, provided they are smooth in the massless limit.…”

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.…”

Comparison of phase space slicing and dipole subtraction methods for $\gamma^* \rightarrow Q\bar{Q}$

“…A similar conclusion was reached by Dittmaier [14] who compared his method with a slicing calculation for a number of electroweak cross sections. The phase space slicing method [8,9,10], which is easy to use and minimizes analytical work, can be extended [19] to become fully independent of the slicing parameter, which we demonstrated in this paper for the reaction at hand. Although our case-study involves only the simplest of heavy quark production processes, it is, we believe a useful first step toward gaining numerical experience with general methods for constructing NLO Monte Carlo programs for heavy quark production.…”

“…The resolution factor R(θ s ) is independent of the hard scattering and can be calculated analytically for a wide range of multiparton processes [8,9,10]. T 2 is given by…”

“…The result of integrating (12) over dPS soft is given in [10], and when added to the virtual contributions, gives the following finite expression for the 2 particle O(α s ) differential cross section for process (1)…”