Helicity methods for high multiplicity subleading soft and collinear limits
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13130_2019_Article_10653.pdf
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Author(s)
Bhattacharya, Arindam
Moult, Ian
Stewart, Iain W
Vita, Gherardo
Date Issued
May 28, 2019
Publisher
Springer Berlin Heidelberg
Citation
Journal of High Energy Physics. 2019 May 28;2019(5):192
Version
Final published version
Abstract
Abstract
The factorization of multi-leg gauge theory amplitudes in the soft and collinear limits provides strong constraints on the structure of amplitudes, and enables efficient calculations of multi-jet observables at the LHC. There is significant interest in extending this understanding to include subleading powers in the soft and collinear limits. While this has been achieved for low point amplitudes, for higher point functions there is a proliferation of variables and more complicated phase space, making the analysis more challenging. By combining the subleading power expansion of spinor-helicity variables in collinear limits with consistency relations derived from the soft collinear effective theory, we show how to efficiently extract the subleading power leading logarithms of N-jet event shape observables directly from known spinor-helicity amplitudes. At subleading power, we observe the presence of power law singularities arising solely from the expansion of the amplitudes, which for hadron collider event shapes lead to the presence of derivatives of parton distributions. The techniques introduced here can be used to efficiently compute the power corrections for N-jettiness subtractions for processes involving jets at the LHC.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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DOI of Published Version
https://doi.org/10.1007/JHEP05(2019)192
