Medium-induced splitting kernels from SCET_G

TL;DR

This paper derives medium-induced parton splitting kernels within the SCET_G framework, providing a gauge-invariant, factorized approach valid for any energy fraction, with implications for jet quenching phenomenology.

Contribution

It introduces a novel derivation of splitting kernels using SCET_G that is valid for arbitrary energy fractions and maintains gauge invariance.

Findings

Derived medium-induced splitting kernels valid for all energy fractions

Proved factorization and gauge invariance within SCET_G

Showed how to incorporate nuclear recoil and phase space cuts

Abstract

Using the framework of soft-collinear effective theory with Glauber gluons ($\SCETG$), we evaluate medium-induced splitting kernels. Because of the power counting of the effective theory, our results are valid for arbitrary, not necessarily small values of the energy fraction $x$ taken by the emitted parton. In this framework we prove the factorization from the hard process and gauge invariance of the splitting kernels, we also show how nuclear recoil and the phase space cuts can be implemented into the phenomenology.