NNLL resummation of Sudakov shoulder logarithms in the heavy jet mass distribution
Name
13130_2023_Article_22155.pdf
Size
1.87 MB
Format
Adobe PDF
Checksum (MD5)
82a13f93ba6ea14b47f2311f03dfbc97
Author(s)
Bhattacharya, Arindam
Michel, Johannes K. L.
Schwartz, Matthew D.
Stewart, Iain W.
Zhang, Xiaoyuan
Date Issued
November 14, 2023
Publisher
Springer Berlin Heidelberg
Citation
Journal of High Energy Physics. 2023 Nov 14;2023(11):80
Version
Final published version
Abstract
Abstract
The heavy jet mass event shape has large perturbative logarithms near the leading order kinematic threshold at
ρ
=
1
3
$$ \rho =\frac{1}{3} $$
. 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.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/JHEP11(2023)080
