Quark and gluon spin-2 form factors to two loops in QCD

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We present two-loop QCD corrections to the quark form factor from the amplitude G∗ → qq¯ and the gluon form factor from G∗ → gg in SU(N) gauge theory with nf light flavours. We use ddimensional regularisation and the results are presented to all orders in ε = d - 4. These form factors can be used to...

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Autores principales: De Florian, D., Mahakhud, M., Mathews, P., Mazzitelli, J., Ravindran, V.
Formato: CONF
Materias:
Differential equations
Elementary particles
High energy physics
Integrodifferential equations
Quantum theory
Extra dimensions
Form factors
Gauge theory
Next to next to leading orders
Regularisation
Scattering process
Standard model
Vector boson
Approximation theory
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_18248039_v2014-January_n_p_DeFlorian
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_18248039_v2014-January_n_p_DeFlorian
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spelling todo:paper_18248039_v2014-January_n_p_DeFlorian2023-10-03T16:33:04Z Quark and gluon spin-2 form factors to two loops in QCD De Florian, D. Mahakhud, M. Mathews, P. Mazzitelli, J. Ravindran, V. Differential equations Elementary particles High energy physics Integrodifferential equations Quantum theory Extra dimensions Form factors Gauge theory Next to next to leading orders Regularisation Scattering process Standard model Vector boson Approximation theory We present two-loop QCD corrections to the quark form factor from the amplitude G∗ → qq¯ and the gluon form factor from G∗ → gg in SU(N) gauge theory with nf light flavours. We use ddimensional regularisation and the results are presented to all orders in ε = d - 4. These form factors can be used to obtain next-to-next-to-leading order QCD corrections to hadronic scattering processes in large extra-dimension model where Kaluza-Klein graviton modes couple to Standard Model fields. We find that the form factors satisfy Sudakov integro-differential equation and the resulting cusp, collinear and soft anomalous dimensions are identical to those of electroweak vector boson and gluon form factors. We establish the universal behaviour of the infrared singularities in accordance with the proposal by Catani. © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence. Fil:De Florian, D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. CONF info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_18248039_v2014-January_n_p_DeFlorian
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Differential equations
Elementary particles
High energy physics
Integrodifferential equations
Quantum theory
Extra dimensions
Form factors
Gauge theory
Next to next to leading orders
Regularisation
Scattering process
Standard model
Vector boson
Approximation theory
spellingShingle Differential equations
Elementary particles
High energy physics
Integrodifferential equations
Quantum theory
Extra dimensions
Form factors
Gauge theory
Next to next to leading orders
Regularisation
Scattering process
Standard model
Vector boson
Approximation theory
De Florian, D.
Mahakhud, M.
Mathews, P.
Mazzitelli, J.
Ravindran, V.
Quark and gluon spin-2 form factors to two loops in QCD
topic_facet Differential equations
Elementary particles
High energy physics
Integrodifferential equations
Quantum theory
Extra dimensions
Form factors
Gauge theory
Next to next to leading orders
Regularisation
Scattering process
Standard model
Vector boson
Approximation theory
description We present two-loop QCD corrections to the quark form factor from the amplitude G∗ → qq¯ and the gluon form factor from G∗ → gg in SU(N) gauge theory with nf light flavours. We use ddimensional regularisation and the results are presented to all orders in ε = d - 4. These form factors can be used to obtain next-to-next-to-leading order QCD corrections to hadronic scattering processes in large extra-dimension model where Kaluza-Klein graviton modes couple to Standard Model fields. We find that the form factors satisfy Sudakov integro-differential equation and the resulting cusp, collinear and soft anomalous dimensions are identical to those of electroweak vector boson and gluon form factors. We establish the universal behaviour of the infrared singularities in accordance with the proposal by Catani. © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.
format CONF
author De Florian, D.
Mahakhud, M.
Mathews, P.
Mazzitelli, J.
Ravindran, V.
author_facet De Florian, D.
Mahakhud, M.
Mathews, P.
Mazzitelli, J.
Ravindran, V.
author_sort De Florian, D.
title Quark and gluon spin-2 form factors to two loops in QCD
title_short Quark and gluon spin-2 form factors to two loops in QCD
title_full Quark and gluon spin-2 form factors to two loops in QCD
title_fullStr Quark and gluon spin-2 form factors to two loops in QCD
title_full_unstemmed Quark and gluon spin-2 form factors to two loops in QCD
title_sort quark and gluon spin-2 form factors to two loops in qcd
url http://hdl.handle.net/20.500.12110/paper_18248039_v2014-January_n_p_DeFlorian
work_keys_str_mv AT defloriand quarkandgluonspin2formfactorstotwoloopsinqcd
AT mahakhudm quarkandgluonspin2formfactorstotwoloopsinqcd
AT mathewsp quarkandgluonspin2formfactorstotwoloopsinqcd
AT mazzitellij quarkandgluonspin2formfactorstotwoloopsinqcd
AT ravindranv quarkandgluonspin2formfactorstotwoloopsinqcd
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