2014
DOI: 10.1016/j.physletb.2014.03.045
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On regularizing the infrared singularities in QCD NLO splitting functions with the new Principal Value prescription

Abstract: We propose a modified use of the Principal Value prescription for regularizing the infrared singularities in the light-cone axial gauge by applying it to all singularities in the light-cone plus component of integration momentum. The modification is motivated by and applied to the re-calculation of the QCD NLO splitting functions for the purpose of Monte Carlo implementations. The final results agree with the standard PV prescription whereas contributions from separate graphs get simplified.

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Cited by 14 publications
(19 citation statements)
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References 21 publications
(70 reference statements)
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“…In the following we extend this result by calculating as a start the unintegrated real emissions kernels for quark-to-quark and quark-to-gluon splitting functions. From a technical point of view the determination of TMD splitting kernels is based on a generalization of the high energy factorization approach of Catani and Hautmann [25], which itself is based on the formulation of DGLAP evolution in terms of a two-particleirreducible (2PI) expansion [26] (for overview and recent applications of the method see [27][28][29][30])). To guarantee gauge invariance in presence of off-shell particles we follow the proposal made in [12] and make use of the effective action formulation of the high energy factorization in terms of reggeized quarks and gluons [31,32].…”
Section: Introductionmentioning
confidence: 99%
“…In the following we extend this result by calculating as a start the unintegrated real emissions kernels for quark-to-quark and quark-to-gluon splitting functions. From a technical point of view the determination of TMD splitting kernels is based on a generalization of the high energy factorization approach of Catani and Hautmann [25], which itself is based on the formulation of DGLAP evolution in terms of a two-particleirreducible (2PI) expansion [26] (for overview and recent applications of the method see [27][28][29][30])). To guarantee gauge invariance in presence of off-shell particles we follow the proposal made in [12] and make use of the effective action formulation of the high energy factorization in terms of reggeized quarks and gluons [31,32].…”
Section: Introductionmentioning
confidence: 99%
“…As fully exclusive, high precision simulations are mandatory in order to perform reliable measurements of Standard Model parameters and/or searches for physics beyond the Standard Model, the extension of parton showers to higher formal accuracy would benefit large parts of the high-energy physics community.The possibility of including next-to-leading order corrections into parton showers has been explored early on [9][10][11][12] and was revisited recently [13,14]. NLO splitting functions have been recomputed using a novel regularization scheme [15,16]. The dependence of NLO matching terms on the parton-shower evolution scheme has been investigated in detail [17].…”
mentioning
confidence: 99%
“…How this approach maps onto NLO DGLAP evolution was briefly addressed in [45], which furthermore introduced final-state double-gluon radiation into this formalism. In addition to this, NLO splitting functions have been recomputed using a novel regularization scheme [46,47], with the aim to improve parton-shower simulations. The dependence of NLO matching terms on the parton-shower evolution variable has also been investigated [48].…”
Section: Jhep10(2017)093mentioning
confidence: 99%