An algebraic formula for two loop renormalization of scalar quantum field theory

Jenkins, Elizabeth E.; Manohar, Aneesh V.; Naterop, Luca; Pagès, Julie

doi:10.1007/jhep12(2023)165

An algebraic formula for two loop renormalization of scalar quantum field theory

Journal Article · Wed Dec 27 00:00:00 EST 2023 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep12(2023)165· OSTI ID:2576180

^[1]; ^[1]; Naterop, Luca ^[2]; ^[1]

Univ. of California, San Diego, CA (United States). Dept. of Physics
Univ. of California, San Diego, CA (United States). Dept. of Physics; Univ. of Zurich (Switzerland); Paul Scherrer Inst. (PSI), Villigen (Switzerland)

We find a general formula for the two-loop renormalization counterterms of a scalar quantum field theory with interactions containing up to two derivatives, extending ’t Hooft’s one-loop result. The method can also be used for theories with higher derivative interactions, as long as the terms in the Lagrangian have at most one derivative acting on each field. We show that diagrams with factorizable topologies do not contribute to the renormalization group equations. The results in this paper will be combined with the geometric method in a subsequent paper to obtain the counterterms and renormalization group equations for the scalar sector of effective field theories (EFT) to two-loop order.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of California, San Diego, CA (United States)

Sponsoring Organization:: Swiss National Science Foundation; USDOE Office of Science (SC)

Grant/Contract Number:: SC0009919

OSTI ID:: 2576180

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 12 Vol. 2023; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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