Year: 2021
Type: article
Abstract: Starting from the one-loop divergences we obtained previously, we work out the renormalization of the Higgs-electroweak chiral Lagrangian explicitly and in detail. This includes the renormalization of the lowest-order Lagrangian, as well as the decomposition of the remaining divergences into a complete basis of next-to-leading-order counterterms. We provide the list of the corresponding beta functions. We show how our results match the one-loop renormalization of some of the dimension-6 operators in SMEFT. We further point out differences with related work in the literature and discuss them. As an application of the obtained results, we evaluate the divergences of the vacuum expectation value of the Higgs field at one loop and show that they can be appropriately removed by the corresponding renormalization. We also work out the finite renormalization required to keep the no-tadpole condition on the Higgs field at one loop.
Authors: G. Buchalla, O. Catà, A. Celis, M. Knecht, C. Krause
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Awards: G132386199, INITIATIVE D'EXCELLENCE AIX MARSEILLE UNIVERSITE, G1742243815, G1897041155, TRR 257: Phänomenologische Elementarteilchenphysik nach der HiggsEntdeckung, G2383507340, G2645866196, G2743183498, G290748496, G3173311907, G3523651922, G3663515235, G3682288919, RESEARCH IN THEORETICAL HIGH ENERGY PHYSICS, G3984487147, G4066435496, EXC 2094: ORIGINS: Vom Ursprung des Universums bis zu den ersten Bausteinen des Lebens, G4404904460, G4866930200, G4892000791, G4908600447, G498139845, G5636215016, G585908603, G6598239468, G6910126085, G716412294, Effektive Feldtheorie der elektroschwachen Symmetriebrechung:
Grundlagen und Anwendungen, G782245399, Origines, Constituants et EVolution de l'Univers, G8188312729, G8493563037, G86560745, G8840936534, G969889393
OpenAlex ID: W3020147840