2020/11/30 by Qingjun Jin, Qing jun Jin, Ke Ren +1
Physics and Astronomy · #Effective field theory #Form factor (electronics) #Higgs boson #Neutrino Physics Research #Operator (biology) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quark #Renormalization #Scalar (mathematics) #Standard Model (mathematical formulation) #hep-ph #hep-th
paper · pdf · doi:10.1007/jhep04(2021)180
v2: 63 pages, 5 figures; references added
openalex created_date 2020/11/09 · arxiv created 2021/01/12 · openalex publication_date 2021/04/01 · arxiv updated 2021/05/05 · openalex updated_date 2026/08/05
A bstract We consider two-loop renormalization of high-dimensional Lorentz scalar operators in the gluonic sector of QCD. These operators appear also in the Higgs effective theory obtained by integrating out the top quark loop in the gluon fusion process. We first discuss the classification of operators and how to construct a good set of basis using both off-shell field theory method and on-shell form factor formalism. To study loop corrections, we apply efficient unitarity-IBP strategy and compute the two-loop minimal form factors of length-3 operators up to dimension sixteen. From the UV divergences of form factor results, we extract the renormalization matrices and analyze the operator mixing behavior in detail. The form factors we compute are also equivalent to Higgs plus three-gluon amplitudes that capture high-order top mass corrections in Higgs EFT. We obtain the analytic finite remainder functions which exhibit several universal transcendentality structures.