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The factorization of multi-leg gauge theory amplitudes in the soft andcollinear limits provides strong constraints on the structure of amplitudes,and enables efficient calculations of multi-jet observables at the LHC. Thereis significant interest in extending this understanding to include subleadingpowers in the soft and collinear limits. While this has been achieved for lowpoint amplitudes, for higher point functions there is a proliferation ofvariables and more complicated phase space, making the analysis morechallenging. By combining the subleading power expansion of spinor-helicityvariables in collinear limits with consistency relations derived from the softcollinear effective theory, we show how to efficiently extract the subleadingpower leading logarithms of $N$-jet event shape observables directly from knownspinor-helicity amplitudes. At subleading power, we observe the presence ofpower law singularities arising solely from the expansion of the amplitudes,which for hadron collider event shapes lead to the presence of derivatives ofparton distributions. The techniques introduced here can be used to efficientlycompute the power corrections for $N$-jettiness subtractions for processesinvolving jets at the LHC.

Helicity Methods for High Multiplicity Subleading Soft and Collinear Limits