Event shape distribution and the NLP corrections

¹ Department of Physics, Chaitanya Bharathi Institute of Technology, Gandipet, Hyderabad, Telangana State 500075, India
² Rudolf Peierls Centre for Theoretical Physics, Clarendon Laboratory, Parks Road, University of Oxford, Oxford OX1 3PU, UK
³ Institute of Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, The Netherlands
⁴ Nikhef, Theory Group, Science Park 105, 1098 XG, Amsterdam, The Netherlands
⁵ Institute for Theoretical Physics, Utrecht University
⁶ Department of Physics, Indian Institute of Technology Hyderabad, Kandi, Sangareddy, Telangana State 502285, India
⁷ Department of Physics, Bharat Institute of Engineering and Technology, Mangalpally, Ibrahimpatnam, Hyderabad, Telangana State, 501510, India

^* e-mail: dragarwalphysics@gmail.com
^** e-mail: melissa.vanbeekveld@physics.ox.ac.uk
^*** e-mail: eric.laenen@nikhef.nl
^**** e-mail: shubhamhere82@gmail.com
^† e-mail: ayanmukhopadhyay5@gmail.com
^‡ e-mail: tripathi@phy.iith.ac.in

Published online: 10 December 2024

Abstract

For the event shapes thrust and c-parameter at next-to-leading order, we examine the origins of next-to-leading power corrections. We track down the origin of these factors for each shape of the event and compare our findings with a recent method that makes use of the eikonal approximation and momentum changes derived from the Low-Burnett-Kroll-Del Duca theorem. We do an analytical and numerical analysis of the differences. Both precise and approximate findings are described in terms of elliptic integrals for the c-parameter; yet, it exhibits patterns that are similar to those observed in the thrust results near the elastic limit.