arXiv subjects

Tobias Mohrmann

Publications and source records attributed to Tobias Mohrmann.

2 recordsLinked to original sources

arXiv2024

The NNLO soft function for N-jettiness in hadronic collisions

We compute the N-jettiness soft function in hadronic collisions to next-to-next-to-leading order (NNLO) in the strong-coupling expansion. Our calculation is based on an extension of the SoftSERVE framework to soft functions that involve an arbitrary number of lightlike Wilson lines. We present numerical results for 1-jettiness and 2-jettiness, and illustrate that our formalism carries over to a generic number of jets by calculating a few benchmark points for 3-jettiness. We also perform a detailed analytic study of the asymptotic behaviour of the soft-function coefficients at the edges of phase space, when one of the jets becomes collinear to another jet or beam direction, and comment on previous calculations of the N-jettiness soft function.

hep-ph↗

arXiv2018

Automated Calculation of ${\pmb N}$-jet Soft Functions

We present a systematic framework for the calculation of soft functions that are defined in terms of $N\geq2$ light-like Wilson lines. The formalism represents an extension of a method that we developed earlier for the calculation of dijet soft functions to the general $N$-jet case. We discuss the technical aspects of this generalisation, focussing on SCET-1 soft functions that obey the non-Abelian exponentiation theorem in this contribution. As a first application of our method, we consider the $N$-jettiness observable and present numerical results for the $1$-jettiness and $2$-jettiness hadron-collider soft functions to next-to-next-to-leading order in the perturbative expansion.

hep-ph↗