First subleading power resummation for event shapes
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Author(s)
Moult, Ian
Zhu, Hua X
Zhu, Hua Xing
Stewart, Iain W
Vita, Gherardo
Date Issued
August 2018
Journal
Journal of High Energy Physics
Publisher
Springer Berlin Heidelberg
Citation
Moult, Ian et al. "First subleading power resummation for event shapes." Journal of High Energy Physics 2018 (August 2018): 13 © 2018 The Author(s)
Version
Final published version
Abstract
We derive and analytically solve renormalization group (RG) equations of gauge invariant non-local Wilson line operators which resum logarithms for event shape observables τ at subleading power in the τ ≪ 1 expansion. These equations involve a class of universal jet and soft functions arising through operator mixing, which we call θ-jet and θ-soft functions. An illustrative example involving these operators is introduced which captures the generic features of subleading power resummation, allowing us to derive the structure of the RG to all orders in αs, and provide field theory definitions of all ingredients. As a simple application, we use this to obtain an analytic leading logarithmic result for the subleading power resummed thrust spectrum for H → gg in pure glue QCD. This resummation determines the nature of the double logarithmic series at subleading power, which we find is still governed by the cusp anomalous dimension. We check our result by performing an analytic calculation up to O(α[subscript s][superscript 3]). Consistency of the subleading power RG relates subleading power anomalous dimensions, constrains the form of the θ-soft and θ-jet functions, and implies an exponentiation of higher order loop corrections in the subleading power collinear limit. Our results provide a path for carrying out systematic resummation at subleading power for collider observables.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1007/JHEP08(2018)013
