The Singular Behaviour of QCD Amplitudes at Two-loop Order

We discuss the structure of infrared singularities in on-shell QCD amplitudes at two-loop order. We present a general factorization formula that controls all the $\ep$-poles of the dimensionally regularized amplitudes. The dependence on the regularization scheme is considered and the coefficients of...

Descripción completa

Detalles Bibliográficos
Autor principal: Catani, Stefano
Lenguaje:eng
Publicado: 1998
Materias:
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1016/S0370-2693(98)00332-3
http://cds.cern.ch/record/347279
_version_ 1780891980885131264
author Catani, Stefano
author_facet Catani, Stefano
author_sort Catani, Stefano
collection CERN
description We discuss the structure of infrared singularities in on-shell QCD amplitudes at two-loop order. We present a general factorization formula that controls all the $\ep$-poles of the dimensionally regularized amplitudes. The dependence on the regularization scheme is considered and the coefficients of the $1/\ep^4, 1/\ep^3$ and $1/\ep^2$ poles are explicitly given in the most general case. The remaining single-pole contributions are also explicitly evaluated in the case of amplitudes with a $q{\bar q}$ pair.
id cern-347279
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1998
record_format invenio
spelling cern-3472792021-09-19T13:46:39Zdoi:10.1016/S0370-2693(98)00332-3http://cds.cern.ch/record/347279engCatani, StefanoThe Singular Behaviour of QCD Amplitudes at Two-loop OrderParticle Physics - PhenomenologyWe discuss the structure of infrared singularities in on-shell QCD amplitudes at two-loop order. We present a general factorization formula that controls all the $\ep$-poles of the dimensionally regularized amplitudes. The dependence on the regularization scheme is considered and the coefficients of the $1/\ep^4, 1/\ep^3$ and $1/\ep^2$ poles are explicitly given in the most general case. The remaining single-pole contributions are also explicitly evaluated in the case of amplitudes with a $q{\bar q}$ pair.We discuss the structure of infrared singularities in on-shell QCD amplitudes at two-loop order. We present a general factorization formula that controls all the $\ep$-poles of the dimensionally regularized amplitudes. The dependence on the regularization scheme is considered and the coefficients of the $1/\ep^4, 1/\ep^3$ and $1/\ep^2$ poles are explicitly given in the most general case. The remaining single-pole contributions are also explicitly evaluated in the case of amplitudes with a $q{\bar q}$ pair.We discuss the structure of infrared singularities in on-shell QCD amplitudes at two-loop order. We present a general factorization formula that controls all the $\ep$-poles of the dimensionally regularized amplitudes. The dependence on the regularization scheme is considered and the coefficients of the $1/\ep^4, 1/\ep^3$ and $1/\ep^2$ poles are explicitly given in the most general case. The remaining single-pole contributions are also explicitly evaluated in the case of amplitudes with a $q{\bar q}$ pair.We discuss the structure of infrared singularities in on-shell QCD amplitudes at two-loop order. We present a general factorization formula that controls all the $\ep$-poles of the dimensionally regularized amplitudes. The dependence on the regularization scheme is considered and the coefficients of the $1/\ep^4, 1/\ep^3$ and $1/\ep^2$ poles are explicitly given in the most general case. The remaining single-pole contributions are also explicitly evaluated in the case of amplitudes with a $q{\bar q}$ pair.We discuss the structure of infrared singularities in on-shell QCD amplitudes at two-loop order. We present a general factorization formula that controls all the ϵ -poles of the dimensionally regularized amplitudes. The dependence on the regularization scheme is considered and the coefficients of the 1/ ϵ 4 ,1/ ϵ 3 and 1/ ϵ 2 poles are explicitly given in the most general case. The remaining single-pole contributions are also explicitly evaluated in the case of amplitudes with a q q ̄ pair.hep-ph/9802439CERN-TH-98-42LPTHE-ORSAY-97-57CERN-TH-98-042LPTHE-97-57oai:cds.cern.ch:3472791998-02-27
spellingShingle Particle Physics - Phenomenology
Catani, Stefano
The Singular Behaviour of QCD Amplitudes at Two-loop Order
title The Singular Behaviour of QCD Amplitudes at Two-loop Order
title_full The Singular Behaviour of QCD Amplitudes at Two-loop Order
title_fullStr The Singular Behaviour of QCD Amplitudes at Two-loop Order
title_full_unstemmed The Singular Behaviour of QCD Amplitudes at Two-loop Order
title_short The Singular Behaviour of QCD Amplitudes at Two-loop Order
title_sort singular behaviour of qcd amplitudes at two-loop order
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1016/S0370-2693(98)00332-3
http://cds.cern.ch/record/347279
work_keys_str_mv AT catanistefano thesingularbehaviourofqcdamplitudesattwolooporder
AT catanistefano singularbehaviourofqcdamplitudesattwolooporder

Ejemplares similares