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Energy flow polynomials: A complete linear basis for jet substructure · Around

2017

Energy flow polynomials: A complete linear basis for jet substructure

Komiske, Patrick T., Metodiev, Eric M., Thaler, Jesse

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We introduce the energy flow polynomials: a complete set of jet substructure observables which form a discrete linear basis for all infrared- and collinear-safe observables.

Energy flow polynomials are multiparticle energy correlators with specific angular structures that are a direct consequence of infrared and collinear safety.
We establish a powerful graph-theoretic representation of the energy flow polynomials which allows us to design efficient algorithms for their computation.
Many common jet observables are exact linear combinations of energy flow polynomials, and we demonstrate the linear spanning nature of the energy flow basis by performing regression for several common jet observables.

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