Transverse momentum in double parton scattering: factorisation, evolution and matching

Maarten G.A. Buffing; Markus Diehl; Tomas Kasemets

doi:10.1007/JHEP01(2018)044

Transverse momentum in double parton scattering: factorisation, evolution and matching

Maarten G.A. Buffing, Markus Diehl^*, Tomas Kasemets

^*Corresponding author for this work

(Astro)-Particles Physics

Research output: Contribution to Journal › Article › Academic › peer-review

Abstract

We give a description of double parton scattering with measured transverse momenta in the final state, extending the formalism for factorisation and resummation developed by Collins, Soper and Sterman for the production of colourless particles. After a detailed analysis of their colour structure, we derive and solve evolution equations in rapidity and renormalisation scale for the relevant soft factors and double parton distributions. We show how in the perturbative regime, transverse momentum dependent double parton distributions can be expressed in terms of simpler nonperturbative quantities and compute several of the corresponding perturbative kernels at one-loop accuracy. We then show how the coherent sum of single and double parton scattering can be simplified for perturbatively large transverse momenta, and we discuss to which order resummation can be performed with presently available results. As an auxiliary result, we derive a simple form for the square root factor in the Collins construction of transverse momentum dependent parton distributions.

Original language	English
Article number	44
Journal	Journal of High Energy Physics
Volume	2018
Issue number	January
Early online date	11 Jan 2018
DOIs	https://doi.org/10.1007/JHEP01(2018)044
Publication status	Published - Jan 2018

Funding

We gratefully acknowledge discussions with Alessandro Bacchetta, John Collins, Tom van Daal, Miguel G. Echevarría, Jonathan Gaunt, Zhongbo Kang, Piet Mulders, Riccardo Na-gar, Alexei Prokudin, Ted Rogers, Maximilian Stahlhofen, Iain Stewart, Frank Tackmann, Alexey Vladimirov, Werner Vogelsang and Wouter Waalewijn. TK is supported by the European Community under the “Ideas” program QWORK (contract 320389). He acknowledges the hospitality of the Munich Institute for Astro-and Particle Physics (MIAPP) of the DFG cluster of excellence “Origin and Structure of the Universe”.

Funders	Funder number
Seventh Framework Programme	320389
European Commission

Keywords

NLO Computations
QCD Phenomenology

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10.1007/JHEP01(2018)044

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abstract = "We give a description of double parton scattering with measured transverse momenta in the final state, extending the formalism for factorisation and resummation developed by Collins, Soper and Sterman for the production of colourless particles. After a detailed analysis of their colour structure, we derive and solve evolution equations in rapidity and renormalisation scale for the relevant soft factors and double parton distributions. We show how in the perturbative regime, transverse momentum dependent double parton distributions can be expressed in terms of simpler nonperturbative quantities and compute several of the corresponding perturbative kernels at one-loop accuracy. We then show how the coherent sum of single and double parton scattering can be simplified for perturbatively large transverse momenta, and we discuss to which order resummation can be performed with presently available results. As an auxiliary result, we derive a simple form for the square root factor in the Collins construction of transverse momentum dependent parton distributions.",

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AU - Kasemets, Tomas

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N2 - We give a description of double parton scattering with measured transverse momenta in the final state, extending the formalism for factorisation and resummation developed by Collins, Soper and Sterman for the production of colourless particles. After a detailed analysis of their colour structure, we derive and solve evolution equations in rapidity and renormalisation scale for the relevant soft factors and double parton distributions. We show how in the perturbative regime, transverse momentum dependent double parton distributions can be expressed in terms of simpler nonperturbative quantities and compute several of the corresponding perturbative kernels at one-loop accuracy. We then show how the coherent sum of single and double parton scattering can be simplified for perturbatively large transverse momenta, and we discuss to which order resummation can be performed with presently available results. As an auxiliary result, we derive a simple form for the square root factor in the Collins construction of transverse momentum dependent parton distributions.

AB - We give a description of double parton scattering with measured transverse momenta in the final state, extending the formalism for factorisation and resummation developed by Collins, Soper and Sterman for the production of colourless particles. After a detailed analysis of their colour structure, we derive and solve evolution equations in rapidity and renormalisation scale for the relevant soft factors and double parton distributions. We show how in the perturbative regime, transverse momentum dependent double parton distributions can be expressed in terms of simpler nonperturbative quantities and compute several of the corresponding perturbative kernels at one-loop accuracy. We then show how the coherent sum of single and double parton scattering can be simplified for perturbatively large transverse momenta, and we discuss to which order resummation can be performed with presently available results. As an auxiliary result, we derive a simple form for the square root factor in the Collins construction of transverse momentum dependent parton distributions.

KW - NLO Computations

KW - QCD Phenomenology

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JO - Journal of High Energy Physics

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Transverse momentum in double parton scattering: factorisation, evolution and matching

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