Subleading power factorization with radiative functions
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13130_2019_Article_11869.pdf
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5.13 MB
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Author(s)
Moult, Ian
Stewart, Iain W
Vita, Gherardo
Date Issued
November 26, 2019
Journal
Journal of High Energy Physics
Publisher
Springer Berlin Heidelberg
Citation
Journal of High Energy Physics. 2019 Nov 26;2019(11):153
Version
Final published version
Abstract
Abstract
The study of amplitudes and cross sections in the soft and collinear limits allows for an understanding of their all orders behavior, and the identification of universal structures. At leading power soft emissions are eikonal, and described by Wilson lines. Beyond leading power the eikonal approximation breaks down, soft fermions must be added, and soft radiation resolves the nature of the energetic partons from which they were emitted. For both subleading power soft gluon and quark emissions, we use the soft collinear effective theory (SCET) to derive an all orders gauge invariant bare factorization, at both amplitude and cross section level. This yields universal multilocal matrix elements, which we refer to as radiative functions. These appear from subleading power Lagrangians inserted along the lightcone which dress the leading power Wilson lines. The use of SCET enables us to determine the complete set of radiative functions that appear to O$$ \mathcal{O} $$(λ2) in the power expansion, to all orders in αs. For the particular case of event shape observables in e+e−→ dijets we derive how the radiative functions contribute to the factorized cross section to O$$ \mathcal{O} $$(λ2).
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/JHEP11(2019)153
