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Modified coherence and the transverse extent of jets

Amit Kumar1,2, Abhijit Majumder2, Chathuranga Sirimanna3,2, and Yasuki Tachibana4

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Phys. Rev. C 112, 014907 – Published 18 July, 2025

DOI: https://doi.org/10.1103/g8m2-2vvk

Abstract

We present a study of the transverse size of parton showers and their diminishing interaction with the medium in the high virtuality stage of jet evolution. We consider the process of a hard quark produced in deep inelastic scattering off a large nucleus. Single gluon radiation from this quark, in the absence of scattering, is rederived using wave packets. This allows for a derivation of the quantum uncertainty size of the hard quark, at the point of splitting. This uncertainty size is then incorporated within a Monte Carlo shower routine yielding transverse shower sizes noticeably larger than the classical antenna size of the shower. No clear relation is found between the full uncertainty size of the shower and the virtuality of the originating parton. The single gluon emission from the hard quark is then reanalyzed for the case of single rescattering off the remainder of the nucleus. A relation is derived between the jet transport coefficient q̂ and the gluon Transverse momentum-dependent parton distribution function (gTMDPDF). Solving this relation, for a simple case, clearly demonstrates the weakening of q̂ with the virtuality of the hard splitting parton.

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Phys. Rev. C 112, 014907– Published 18 July, 2025
  • Received 19 January 2025
  • Revised 29 May 2025
  • Accepted 26 June 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.

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