Kavli Affiliate: Tom Melia
| First 5 Authors: Andrew J. Larkoski, Tom Melia, , ,
| Summary:
We covariantize calculations over the manifold of phase space, establishing
Stokes’ theorem for differential cross sections and providing new definitions
of familiar observable properties like infrared and collinear safety. Through
the introduction of explicit coordinates and a metric we show phase space is
isomorphic to the product space of a simplex and a hypersphere, and we identify
geometric phenomena that occur when its dimensions are large. These results
have implications for fixed order subtraction schemes, machine learning in
particle physics and high-multiplicity heavy ion collisions.
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