Jet broadening in the opacity and twist expansions

Autor: Hannah Clayton, Matthew D. Sievert, W. A. Horowitz
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: European Physical Journal C: Particles and Fields, Vol 82, Iss 5, Pp 1-23 (2022)
Druh dokumentu: article
ISSN: 1434-6052
DOI: 10.1140/epjc/s10052-022-10386-x
Popis: Abstract We compute the in-medium jet broadening $$\langle p_\perp ^2\rangle $$ ⟨ p ⊥ 2 ⟩ to leading order in energy in the opacity expansion. At leading order in $$\alpha _s$$ α s the elastic energy loss gives a jet broadening that grows with $$\ln E$$ ln E . The next-to-leading order in $$\alpha _s$$ α s result is a jet narrowing, due to destructive LPM interference effects, that grows with $$\ln ^2 E$$ ln 2 E . We find that in the opacity expansion the jet broadening asymptotics are – unlike for the mean energy loss – extremely sensitive to the correct treatment of the finite kinematics of the problem; integrating over all emitted gluon transverse momenta leads to a prediction of jet broadening rather than narrowing. We compare the asymptotics from the opacity expansion to a recent twist-4 derivation of $$\langle p_\perp ^2\rangle $$ ⟨ p ⊥ 2 ⟩ and find a qualitative disagreement: the twist-4 derivation predicts a jet broadening rather than a narrowing. Comparison with current jet measurements cannot distinguish between the broadening or narrowing predictions. We comment on the origin of the difference between the opacity expansion and twist-4 results.
Databáze: Directory of Open Access Journals
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