All-order colour structure and two-loop anomalous dimension of soft radiation in heavy-particle pair production at the LHC

M. Beneke; P. Falgari; C. Schwinn

All-order colour structure and two-loop anomalous dimension of soft radiation in heavy-particle pair production at the LHC

M. Beneke
, P. Falgari
, C. Schwinn

RWTH Aachen University
University of Durham
Albert-Ludwigs-Universität Freiburg

Research output: Contribution to journal › Conference article › peer-review

1 Scopus citations

Abstract

We consider the factorization and resummation of soft and Coulomb gluons for pair-production processes of heavy coloured particles at hadron colliders, and discuss: the construction of a colour basis that diagonalizes the leading soft function to all orders in perturbation theory; the determination of the two-loop soft anomalous dimension needed for NNLL resummations; and a general formula that provides all logarithmically enhanced O(α_s ²) correction requiring as process-independent input only the one-loop hard matching coefficients.

Original language	English
Article number	011
Journal	Proceedings of Science
Volume	92
State	Published - 2009
Externally published	Yes
Event	9th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology), RADCOR 2009 - Ascona, Switzerland Duration: 25 Oct 2009 → 30 Oct 2009

Cite this

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title = "All-order colour structure and two-loop anomalous dimension of soft radiation in heavy-particle pair production at the LHC",

abstract = "We consider the factorization and resummation of soft and Coulomb gluons for pair-production processes of heavy coloured particles at hadron colliders, and discuss: the construction of a colour basis that diagonalizes the leading soft function to all orders in perturbation theory; the determination of the two-loop soft anomalous dimension needed for NNLL resummations; and a general formula that provides all logarithmically enhanced O(αs 2) correction requiring as process-independent input only the one-loop hard matching coefficients.",

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AU - Beneke, M.

AU - Falgari, P.

AU - Schwinn, C.

N1 - Publisher Copyright: © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.

PY - 2009

Y1 - 2009

N2 - We consider the factorization and resummation of soft and Coulomb gluons for pair-production processes of heavy coloured particles at hadron colliders, and discuss: the construction of a colour basis that diagonalizes the leading soft function to all orders in perturbation theory; the determination of the two-loop soft anomalous dimension needed for NNLL resummations; and a general formula that provides all logarithmically enhanced O(αs 2) correction requiring as process-independent input only the one-loop hard matching coefficients.

AB - We consider the factorization and resummation of soft and Coulomb gluons for pair-production processes of heavy coloured particles at hadron colliders, and discuss: the construction of a colour basis that diagonalizes the leading soft function to all orders in perturbation theory; the determination of the two-loop soft anomalous dimension needed for NNLL resummations; and a general formula that provides all logarithmically enhanced O(αs 2) correction requiring as process-independent input only the one-loop hard matching coefficients.

UR - https://www.scopus.com/pages/publications/84947445922

M3 - Conference article

AN - SCOPUS:84947445922

SN - 1824-8039

VL - 92

JO - Proceedings of Science

JF - Proceedings of Science

M1 - 011

T2 - 9th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology), RADCOR 2009

Y2 - 25 October 2009 through 30 October 2009

ER -

All-order colour structure and two-loop anomalous dimension of soft radiation in heavy-particle pair production at the LHC

Abstract

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