Linear power corrections to e+e– shape variables in the three-jet region.

Autor: Caola, Fabrizio, Ravasio, Silvia Ferrario, Limatola, Giovanni, Melnikov, Kirill, Nason, Paolo, Ozcelik, Melih Arslan
Zdroj: Journal of High Energy Physics; Dec2022, Vol. 2022 Issue 12, p1-70, 70p
Abstrakt: We use an abelian model to study linear power corrections which arise from infrared renormalons and affect event shapes in e+e annihilation into hadrons. While previous studies explored power corrections in the two-jet region, in this paper we focus on the three-jet region, which is the most relevant one for the determination of the strong coupling constant. We show that for a broad class of shape variables, linear power corrections can be written in a factorised form, that involves an analytically-calculable function, that characterises changes in the shape variable when a soft parton is emitted, and a constant universal factor. This universal factor is proportional to the so-called Milan factor, introduced in earlier literature to describe linear power corrections in the two-jet region. We find that the power corrections in the two-jet and in the three-jet regions are different, a result which is bound to have important consequences for the determination of the strong coupling constant from event shapes. As a further illustration of the power of the approach developed in this paper, we provide explicit analytic expressions for the leading power corrections to the C-parameter and the thrust distributions in the N -jet region for arbitrary N, albeit in the abelian model. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index