Next-to-leading power corrections to event-shape variables

Neelima Agarwal; Melissa van Beekveld; Eric Laenen; Shubham Mishra; Ayan Mukhopadhyay; Anurag Tripathi

doi:10.1007/s12043-024-02743-0

Next-to-leading power corrections to event-shape variables

Neelima Agarwal
, Melissa van Beekveld
, Eric Laenen
, Shubham Mishra^*
, Ayan Mukhopadhyay
, Anurag Tripathi

^*Corresponding author for this work

Osmania University
University of Oxford
Indian Institute of Technology Hyderabad

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

Abstract

We investigate the origin of next-to-leading power (NLP) corrections to the event shapes’ thrust and c-parameter, at next-to-leading order. For both event shapes, we trace the origin of such terms in the exact calculation, and compare with a recent approach involving the eikonal approximation and momentum shifts that follow from the Low–Burnett–Kroll–Del Duca (LBKD) theorem. We assess the differences both analytically and numerically. For the c-parameter both exact and approximate results are expressed in terms of elliptic integrals, but near the elastic limit it exhibits patterns similar to the thrust results.

Original language	English
Article number	60
Number of pages	22
Journal	Pramana - Journal of Physics
Volume	98
Issue number	2
Early online date	15 Apr 2024
DOIs	https://doi.org/10.1007/s12043-024-02743-0
Publication status	Published - Jun 2024

Bibliographical note

Publisher Copyright:
© Indian Academy of Sciences 2024.

Funding

MvB acknowledges support from a Royal Society Research Professorship (RP\\R1\\180112), the European Research Council under the European Union\u2019s Horizon 2020 research and innovation programme (grant agreement No. 788223, PanScales), and by the Science and Technology Facilities Council under ST/T000864/1. EL and AT would like to thank the MHRD, Government of India, for the SPARC grant SPARC/2018\u20132019/P578/SL, Perturbative QCD for Precision Physics at the LHC. SM would like to thank CSIR, Govt. of India, for the SRF fellowship (09/1001(0052)/2019-EMR-I). The authors would like to thank Buonocore et al [113] for spotting a mistake in the expansion of \u03A0[n1(c),m1(c)] in eq.\u00A0(86). MvB acknowledges support from a Royal Society Research Professorship (RPR1180112), the European Research Council under the European Union\u2019s Horizon 2020 research and innovation programme (grant agreement No. 788223, PanScales), and by the Science and Technology Facilities Council under ST/T000864/1. EL and AT would like to thank the MHRD, Government of India, for the SPARC grant SPARC/2018\u20132019/P578/SL, Perturbative QCD for Precision Physics at the LHC. SM would like to thank CSIR, Govt. of India, for the SRF fellowship (09/1001(0052)/2019-EMR-I). The authors would like to thank Buonocore et al [] for spotting a mistake in the expansion of in eq. ().

Funders	Funder number
European Research Council
Horizon 2020 Framework Programme	788223
Royal Society	RPR1180112
Council of Scientific and Industrial Research, India	113, 09/1001(0052)/2019-EMR-I
Science and Technology Facilities Council	ST/T000864/1
Ministry of Education, India	SPARC/2018–2019/P578/SL

Keywords

12.38.Mh
12.38.–t
12.39.–x
leading logarithms
next-to-leading order calculation
next-to-leading power
Perturbative quantum chromodynamics

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10.1007/s12043-024-02743-0

s12043-024-02743-0Final published version, 848 KBLicence: Taverne

Cite this

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title = "Next-to-leading power corrections to event-shape variables",

abstract = "We investigate the origin of next-to-leading power (NLP) corrections to the event shapes{\textquoteright} thrust and c-parameter, at next-to-leading order. For both event shapes, we trace the origin of such terms in the exact calculation, and compare with a recent approach involving the eikonal approximation and momentum shifts that follow from the Low–Burnett–Kroll–Del Duca (LBKD) theorem. We assess the differences both analytically and numerically. For the c-parameter both exact and approximate results are expressed in terms of elliptic integrals, but near the elastic limit it exhibits patterns similar to the thrust results.",

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AU - van Beekveld, Melissa

AU - Laenen, Eric

AU - Mishra, Shubham

AU - Mukhopadhyay, Ayan

AU - Tripathi, Anurag

N1 - Publisher Copyright: © Indian Academy of Sciences 2024.

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AB - We investigate the origin of next-to-leading power (NLP) corrections to the event shapes’ thrust and c-parameter, at next-to-leading order. For both event shapes, we trace the origin of such terms in the exact calculation, and compare with a recent approach involving the eikonal approximation and momentum shifts that follow from the Low–Burnett–Kroll–Del Duca (LBKD) theorem. We assess the differences both analytically and numerically. For the c-parameter both exact and approximate results are expressed in terms of elliptic integrals, but near the elastic limit it exhibits patterns similar to the thrust results.

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KW - 12.39.–x

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KW - Perturbative quantum chromodynamics

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ER -

Next-to-leading power corrections to event-shape variables

Abstract

Bibliographical note

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Keywords

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