Infrared structure of e+ e- ---> 2 jets at NNLO

By Aude Gehrmann-De Ridder, Thomas Gehrmann, E. Glover. 2004

210 citations recorded by the source corpus.

Abstract The production of two jets is the simplest exclusive quantum chromodynamics process in electron–positron annihilation. Using this process, we examine the structure of next-to-next-to-leading order (NNLO) corrections to jet production observables. We derive a subtraction formalism including double real radiation at tree level and single real radiation at one loop. For two-jet production, these subtraction terms coincide with the full matrix elements, thus highlighting the phase space structure of the subtraction procedure. We then analytically compute the infrared singularities arising from each partonic channel. For the purely virtual (two-parton) NNLO corrections, these take the well known form predicted by Catani's infrared factorization formula. We demonstrate that individual terms in the infrared factorization formula can be identified with infrared singular terms from three- and four-parton final states, leaving only single poles and a contribution from the one-loop soft gluon current, which subsequently cancels between the three- and four-parton final states. Summing over all different final states, we observe an explicit cancellation of all infrared poles and recover the known two-loop correction to the hadronic R -ratio.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/5bf533fb89dab43184fa1b0afb3795f407cbd2d3

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Nuclear and High Energy Physics

Citations in the corpus

Infrared structure at NNLO using antenna subtraction (2013, methodology): “NLOcontributes twice the subtraction required by the matrix elements. Both of these over-subtractions have to be accounted for by d^˙S;c NNLO, which also includes the wide angle soft subtraction term [48,67]. The terms appropriate for d^˙S;c NNLO can be generated in the following fashion. We conside”
A subtraction scheme for computing QCD jet cross sections at NNLO: regularization of doubly-real emissions (2006, unknown): “and jet production in electron-positron annihilation [17, 18].”
Les Houches 2017: Physics at TeV Colliders Standard Model Working Group Report (2017, methodology): “1 Introduction A first investigation of event files for NNLO was performed in the previous Les Houches workshop [1] where the process e+e− → 3j was considered at NNLO using EERAD3 [398].”