Subleading power corrections for event shape variables in annihilation

Luca Buonocore; Massimiliano Grazzini; Flavio Guadagni; Luca Rottoli

doi:10.1140/epjc/s10052-024-12788-5

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2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2024) 84: 437
https://doi.org/10.1140/epjc/s10052-024-12788-5

Regular Article - Theoretical Physics

Subleading power corrections for event shape variables in $e^{+} e^{-}$ annihilation

Luca Buonocore¹^,2, Massimiliano Grazzini¹, Flavio Guadagni¹ and Luca Rottoli¹^d

¹ Physik Institut, Universität Zürich, 8057, Zürich, Switzerland
² Theoretical Physics Department, CERN, 1211, Geneva 23, Switzerland

^d luca.rottoli@physik.uzh.ch

Received: 4 December 2023
Accepted: 8 April 2024
Published online: 27 April 2024

Abstract

We consider subleading power corrections to event shape variables in $e^{+} e^{-}$ $$e^+e^-$$ collisions at the first order in the QCD coupling $α_{S}$ $\alpha _{\textrm{S}}$ . We start from the jettiness variable $τ_{2}$ $\tau _2$ and the $y_{23}$ $y_{23}$ resolution variable for the $k_{T}$ $$k_T$$ jet clustering algorithm and we analytically compute the corresponding cumulative cross section. We investigate the origin of the different power suppressed contributions in the two-jet limit and trace it back to their different coverage of the phase space. We extend our analysis to the case of thrust and of the C-parameter, and we finally discuss a class of observables that depend on a continuous parameter giving different weight to central and forward emissions and we evaluate the corresponding subleading power corrections.

© The Author(s) 2024

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