Rapidity distribution at soft-virtual and beyond for n-colorless particles to 
N$^4$LO in QCD

Ahmed, Taushif; H., Ajjath A.; Mukherjee, Pooja; Ravindran, V.; Sankar, Aparna

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Rapidity distribution at soft-virtual and beyond for n-colorless particles to N$^4$LO in QCD

Ahmed, T., H., A. A., Mukherjee, P., Ravindran, V., & Sankar, A. (2021). Rapidity distribution at soft-virtual and beyond for n-colorless particles to N$^4$LO in QCD. European Physical Journal C, 81, 943. Retrieved from https://publications.mppmu.mpg.de/?action=search&mpi=MPP-2020-51.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000A-1BD8-5 Version Permalink: https://hdl.handle.net/21.11116/0000-000A-1BD9-4

Genre: Journal Article

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Creators:
Ahmed, Taushif¹, Author
H., Ajjath A.¹, Author
Mukherjee, Pooja¹, Author
Ravindran, V.¹, Author
Sankar, Aparna¹, Author

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1Max Planck Institute for Physics, Max Planck Society and Cooperation Partners, ou_2253650

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Free keywords: Theoretical Physics

Abstract: We present a systematic framework to study the threshold contributions of the differential rapidity distribution for the production of any number of colorless particles in the hadronic colliders. This has been achieved based on the universality structure of the soft enhancements associated with the real emissions, along with the factorization property of the differential cross section and the renormalization group invariance. In this formalism, we present a universal soft-collinear operator to compute the soft virtual differential cross section for a generic $2\rightarrow n$ scattering process up to next-to-next-to-next-to-next-to-leading order (N$^4$LO) in perturbative QCD. We also provide a universal operator to perform the threshold resummation to next-to-next-to-next-to-leading logarithmic (N$^3$LL) accuracy. We explicitly present the approximate analytical results of the rapidity distributions at N$^4$LO and N$^3$LL for the Higgs boson production through gluon fusion and bottom quark annihilation, and also for the Drell-Yan production at the hadronic collider. \textcolor{black}{We extend our framework to include the next to threshold contributions for the diagonal partonic channels.

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Dates: Date issued: 2021

Publication Status: Issued

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Identifiers: Other: MPP-2020-51
URI: https://publications.mppmu.mpg.de/?action=search&mpi=MPP-2020-51
arXiv: arxiv:2010.02980
URI: https://inspirehep.net/literature?q=find%20eprint%202010.02980

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Title: European Physical Journal C

Abbreviation : Eur.Phys.J.C

Source Genre: Journal

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Pages: - Volume / Issue: 81 Sequence Number: - Start / End Page: 943 Identifier: -