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

Abstract

We consider subleading power corrections to event shape variables in $e^{+}{e}^{-}$ collisions at the first order in the QCD coupling ${\alpha }_s$. We start from the jettiness variable ${\tau }_2$ and the $y_{23}$ resolution variable for the $k_T$ 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.

16 pages, 4 figures. Minor modifications and updated references. Version published in EPJC

References in corpus (8)

• An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC
• Thrust at N^3LL with Power Corrections and a Precision Global Fit for alphas(mZ)
• A precise determination of alpha_s from LEP thrust data using effective field theory
• C-parameter Distribution at N${}^3$LL${}^{\prime }$ including Power Corrections
• Next-to-leading power endpoint factorization and resummation for off-diagonal "gluon" thrust
• Transverse-momentum resummation for boson plus jet production at hadron colliders
• Quark and gluon two-loop beam functions for leading-jet $p_T$ and slicing at NNLO
• Effective transverse momentum in multiple jet production at hadron colliders

Cited by in corpus (1)

• Double soft graviton factors from the gravitational Wilson line