The one-jettiness distribution contains super-super-leading logarithms

TL;DR

This paper reveals that the distribution of one-jettiness in certain particle production processes contains super-leading logarithms at a higher order than previously known, challenging existing factorization assumptions.

Contribution

It identifies super-leading logarithms in one-jettiness distribution at order , which are more dominant than any previously known super-leading logarithms, and discusses their implications for factorization.

Findings

Super-leading logarithms appear at order  in one-jettiness distribution.

These logarithms are more dominant than previously identified super-leading logs.

The extra logarithm does not violate factorization of parton distribution functions.

Abstract

We show that one-jettiness ($\tau_1$) in colour-singlet plus jet production suffers from super-leading logarithms starting at order $\alpha_{\mathrm s}^4 \ln(1/\tau_1)^6$ relative to the Born level. This is one logarithm more dominant than any previously identified super-leading logarithms. The extra logarithm is not associated with additional poles, and is therefore consistent with the factorization of universal parton distribution functions at scale $\tau_1 Q$, where $Q$ is the hard scale.