Hugh Osborn

collaborators

2 papers

hep-th2026

$ϕ^{6}$ at $6$ (and some $8$ ) loops in $3 d$

Ian Jack, Hugh Osborn

We recalculate the contributions of individual six loop graphs to the $β$ -function for a three dimensional scalar theory with an arbitrary sextic scalar potential. Previously this…

hep-th2024

Extremal fixed points and Diophantine equations

Christopher P. Herzog, Christian B. Jepsen, Hugh Osborn +1

The coupling constants of fixed points in the $ε$ expansion at one loop are known to satisfy a quadratic bound due to Rychkov and Stergiou. We refer to fixed points that saturate t…

ϕ6 at 6 (and some 8) loops in 3d

Extremal fixed points and Diophantine equations

$ϕ^{6}$ at $6$ (and some $8$ ) loops in $3 d$