NNLL resummation of Sudakov shoulder logarithms in the heavy jet mass distribution

Bhattacharya, Arindam; Michel, Johannes K. L.; Schwartz, Matthew D.; Stewart, Iain W.; Zhang, Xiaoyuan

doi:10.1007/jhep11(2023)080

Title: NNLL resummation of Sudakov shoulder logarithms in the heavy jet mass distribution

Abstract

The heavy jet mass event shape has large perturbative logarithms near the leading order kinematic threshold at ρ = $$\frac{1}{3}$$. Catani and Webber named these logarithms Sudakov shoulders and resummed them at double-logarithmic level. A resummation to next-to-leading logarithmic level was achieved recently. Here, we extend the resummation using an effective field theory framework to next-to-next-to-leading logarithmic order and show how to combine it with the resummation of dijet logarithms. We also solve the open problem of an unphysical singularity in the resummed momentum space distribution, in a way similar to how it is resolved in the Drell-Yan q_T spectrum: through a careful analysis of the kinematics and scale-setting in position space. The heavy jet mass Sudakov shoulder is the first observable that does not involve transverse momentum for which position space resummation is critical. These advances may lead to a more precise extraction of the strong coupling constant from e⁺e^– data.

Authors:

^[1]; Michel, Johannes K. L. ^[2]; Schwartz, Matthew D. ^[1]; Stewart, Iain W. ^[2]; Zhang, Xiaoyuan ^[1]

Harvard University, Cambridge, MA (United States)
Massachusetts Institute of Technology, Cambridge, MA (United States)

Publication Date:: Tue Nov 14 00:00:00 EST 2023

Research Org.:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 2228739

Grant/Contract Number:: SC0011090; SC0013607

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2023; Journal Issue: 11; Journal ID: ISSN 1029-8479

Publisher:: Springer Nature

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Efective Field Theories of QCD; Factorization; Renormalization Group; Resummation; The Strong Coupling

Citation Formats


                    Bhattacharya, Arindam, Michel, Johannes K. L., Schwartz, Matthew D., Stewart, Iain W., and Zhang, Xiaoyuan. NNLL resummation of Sudakov shoulder logarithms in the heavy jet mass distribution.  United States: N. p., 2023. 
Web.  doi:10.1007/jhep11(2023)080.

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                    Bhattacharya, Arindam, Michel, Johannes K. L., Schwartz, Matthew D., Stewart, Iain W., & Zhang, Xiaoyuan. NNLL resummation of Sudakov shoulder logarithms in the heavy jet mass distribution.  United States.  https://doi.org/10.1007/jhep11(2023)080

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                    Bhattacharya, Arindam, Michel, Johannes K. L., Schwartz, Matthew D., Stewart, Iain W., and Zhang, Xiaoyuan. Tue .  
"NNLL resummation of Sudakov shoulder logarithms in the heavy jet mass distribution".  United States.  https://doi.org/10.1007/jhep11(2023)080.  https://www.osti.gov/servlets/purl/2228739.

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@article{osti_2228739,

  title        = {NNLL resummation of Sudakov shoulder logarithms in the heavy jet mass distribution},

  author       = {Bhattacharya, Arindam and Michel, Johannes K. L. and Schwartz, Matthew D. and Stewart, Iain W. and Zhang, Xiaoyuan},

  abstractNote = {The heavy jet mass event shape has large perturbative logarithms near the leading order kinematic threshold at ρ = $\frac{1}{3}$. Catani and Webber named these logarithms Sudakov shoulders and resummed them at double-logarithmic level. A resummation to next-to-leading logarithmic level was achieved recently. Here, we extend the resummation using an effective field theory framework to next-to-next-to-leading logarithmic order and show how to combine it with the resummation of dijet logarithms. We also solve the open problem of an unphysical singularity in the resummed momentum space distribution, in a way similar to how it is resolved in the Drell-Yan qT spectrum: through a careful analysis of the kinematics and scale-setting in position space. The heavy jet mass Sudakov shoulder is the first observable that does not involve transverse momentum for which position space resummation is critical. These advances may lead to a more precise extraction of the strong coupling constant from e+e– data.},

  doi          = {10.1007/jhep11(2023)080},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 11,

  volume       = 2023,

  place        = {United States},

  year         = {Tue Nov 14 00:00:00 EST 2023},

  month        = {Tue Nov 14 00:00:00 EST 2023}

}

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Title: NNLL resummation of Sudakov shoulder logarithms in the heavy jet mass distribution

Abstract

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journal, August 1999

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journal, January 1985

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