Luen Clingerman | Searcharxiv

arXiv2026

Heavy Jet Mass in Hadronic Higgs Decays

The heavy jet mass distributions in hadronic Higgs decays are computed to next-to-next-to-next-to-leading logarithmic order (N${}^3$LL${}^\prime$) in the dijet limit and NNLL in the trijet limit, matched to the next-to-next-to-leading order (NNLO). Both resummation results are obtained from the factorization theorems in Soft-Collinear Effective Theory. In particular, we study the Sudakov shoulders in the trijet region, originating from the incomplete cancellation of infrared singularities between final states with different parton multiplicities, and resum the induced large logarithms to all orders. The shoulder resummation yields sizable corrections and improves the perturbative stability of the distribution. Our results provide state-of-the-art predictions for heavy jet mass in $H \to gg$ and $H\to q\bar{q}$ and can be applied to precision Higgs measurements at future $e^+e^-$ colliders.

hep-ph↗

arXiv2025

Asymptotic Behavior of Diagram Classes

The asymptotic nature of perturbative expansions in quantum field theory can arise from the factorial growth in the number of Feynman diagrams with loop order, as with instantons, or from a series of individual diagrams whose values grow factorially, as with renormalon chains in QED. Other classes of diagrams are known also to grow factorially, such as the Hopf series of graphs in $\phi^3$ theory. This Hopf series was studied using Schwinger-Dyson equations and the Connes-Kreimer Hopf algebra of decorated rooted trees. We review the Hopf algebra approach and show that the same results can be obtained using analytic QFT techniques as with Hopf-algebraic ones. We present an efficient method to extract the asymptotic behavior and thereby generalize the analysis of the Hopf series to other classes of diagrams in other theories. We confront the question of whether these classes correspond to new types of asymptotic growth beyond instantons and renormalons, and find that they appear to be incomplete calculations of what would be renormalons in these theories if all diagrams were included. Although the Hopf algebra approach is not essential to deriving asymptotic behavior from Schwinger-Dyson equations, it does provide some other insights into quantum field theory. We therefore attempt also to provide a map between some relevant aspects of the Hopf algebra and quantum field theory.

hep-th↗