Skip to Main content Skip to Navigation
Journal articles

N -loop running should be combined with N -loop matching

Abstract : We investigate the high-scale behavior of Higgs sectors beyond the Standard Model, pointing out that the proper matching of the quartic couplings before applying the renormalization group equations (RGEs) is of crucial importance for reliable predictions at larger energy scales. In particular, the common practice of leading-order parameters in the RGE evolution is insufficient to make precise statements on a given model's UV behavior, typically resulting in uncertainties of many orders of magnitude. We argue that, before applying N-loop RGEs, a matching should even be performed at N-loop order in contrast to common lore. We show both analytical and numerical results where the impact is sizable for three minimal extensions of the Standard Model: a singlet extension, a second Higgs doublet and finally vector-like quarks. We highlight that the known two-loop RGEs tend to moderate the running of their one-loop counterparts, typically delaying the appearance of Landau poles. For the addition of vector-like quarks we show that the complete two-loop matching and RGE evolution hints at a stabilization of the electroweak vacuum at high energies, in contrast to results in the literature.
Document type :
Journal articles
Complete list of metadata

Cited literature [28 references]  Display  Hide  Download

https://hal.sorbonne-universite.fr/hal-01701025
Contributor : Gestionnaire 2 HAL-UPMC Connect in order to contact the contributor
Submitted on : Monday, February 5, 2018 - 3:09:09 PM
Last modification on : Friday, May 20, 2022 - 3:37:11 AM
Long-term archiving on: : Monday, May 7, 2018 - 11:32:28 AM

File

PhysRevD.97.015011.pdf
Publication funded by an institution

Licence


Distributed under a Creative Commons Attribution 4.0 International License

Identifiers

Citation

Johannes Braathen, Mark D. Goodsell, Manuel E Krauss, Toby Opferkuch, Florian Staub. N -loop running should be combined with N -loop matching. Physical Review D, American Physical Society, 2018, 97 (1), pp.015011. ⟨10.1103/PhysRevD.97.015011⟩. ⟨hal-01701025⟩

Share

Metrics

Record views

560

Files downloads

65