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An algebraic formula for two loop renormalization of scalar quantum field theory.
- Source :
- Journal of High Energy Physics; Dec2023, Vol. 2023 Issue 12, p1-35, 35p
- Publication Year :
- 2023
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 11266708
- Volume :
- 2023
- Issue :
- 12
- Database :
- Complementary Index
- Journal :
- Journal of High Energy Physics
- Publication Type :
- Academic Journal
- Accession number :
- 174834751
- Full Text :
- https://doi.org/10.1007/JHEP12(2023)165