Systematic analysis of radiative symmetry breaking in models with extended scalar sector

Leonardo Chataignier; Tomislav Prokopec; Michael G. Schmidt; Bogumiła Świeżewska

doi:10.1007/JHEP08(2018)083

Systematic analysis of radiative symmetry breaking in models with extended scalar sector

Leonardo Chataignier, Tomislav Prokopec, Michael G. Schmidt, Bogumiła Świeżewska

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

Radiative symmetry breaking (RSB) is a theoretically appealing framework for the generation of mass scales through quantum effects. It can be successfully implemented in models with extended scalar and gauge sectors. We provide a systematic analysis of RSB in such models: we review the common approximative methods of studying RSB, emphasising their limits of applicability and discuss the relevance of the relative magnitudes of tree-level and loop contributions as well as the dependence of the results on the renormalisation scale. The general considerations are exemplified within the context of the conformal Standard Model extended with a scalar doublet of a new SU(2)_X gauge group, the so-called SU(2)cSM. We show that various perturbative methods of studying RSB may yield significantly different results due to renormalisation-scale dependence. Implementing the renormalisation-group (RG) improvement method recently developed in ref. [1], which is well-suited for multi-scale models, we argue that the use of the RG improved effective potential can alleviate this scale dependence providing more reliable results.

Original language	English
Article number	83
Journal	Journal of High Energy Physics
Volume	2018
Issue number	8
DOIs	https://doi.org/10.1007/JHEP08(2018)083
Publication status	Published - 1 Aug 2018

Funding

B.S´. is grateful to T. Robens for her explanations of the analysis of the experimental constraints on the mixing angle and to D. Sokolo wska for correspondence on this topic. T.P. and B.S´. acknowledge funding from the D-ITP consortium, a program of the NWO that is funded by the Dutch Ministry of Education, Culture and Science (OCW). This work is part of the research programme of the Foundation for Fundamental Research on Matter (FOM), which is part of the Netherlands Organisation for Scientific Research (NWO). B.S´. acknowledges the support from the National Science Centre, Poland, through the HARMONIA project under contract UMO-2015/18/M/ST2/00518 (2016-2019) and from the Foundation for Polish Science (FNP). L.C. acknowledges the support of Utrecht University (UU), the Netherlands, in the form of the Utrecht Excellence Scholarship (UES) received from September 2015 to June 2017.

Keywords

Beyond Standard Model
Conformal and W Symmetry
Renormalization Group
Spontaneous Symmetry Breaking

Access to Document

10.1007/JHEP08(2018)083

chataignier2Final published version, 2.01 MB

Cite this

@article{cff3fbb2d7b44ebaa0e0ddf727f180a9,

title = "Systematic analysis of radiative symmetry breaking in models with extended scalar sector",

abstract = "Radiative symmetry breaking (RSB) is a theoretically appealing framework for the generation of mass scales through quantum effects. It can be successfully implemented in models with extended scalar and gauge sectors. We provide a systematic analysis of RSB in such models: we review the common approximative methods of studying RSB, emphasising their limits of applicability and discuss the relevance of the relative magnitudes of tree-level and loop contributions as well as the dependence of the results on the renormalisation scale. The general considerations are exemplified within the context of the conformal Standard Model extended with a scalar doublet of a new SU(2)X gauge group, the so-called SU(2)cSM. We show that various perturbative methods of studying RSB may yield significantly different results due to renormalisation-scale dependence. Implementing the renormalisation-group (RG) improvement method recently developed in ref. [1], which is well-suited for multi-scale models, we argue that the use of the RG improved effective potential can alleviate this scale dependence providing more reliable results.",

keywords = "Beyond Standard Model, Conformal and W Symmetry, Renormalization Group, Spontaneous Symmetry Breaking",

author = "Leonardo Chataignier and Tomislav Prokopec and Schmidt, {Michael G.} and Bogumi{\l}a {\'S}wie{\.z}ewska",

year = "2018",

month = aug,

day = "1",

doi = "10.1007/JHEP08(2018)083",

language = "English",

volume = "2018",

journal = "Journal of High Energy Physics",

issn = "1126-6708",

publisher = "Springer Verlag",

number = "8",

}

TY - JOUR

T1 - Systematic analysis of radiative symmetry breaking in models with extended scalar sector

AU - Chataignier, Leonardo

AU - Prokopec, Tomislav

AU - Schmidt, Michael G.

AU - Świeżewska, Bogumiła

PY - 2018/8/1

Y1 - 2018/8/1

N2 - Radiative symmetry breaking (RSB) is a theoretically appealing framework for the generation of mass scales through quantum effects. It can be successfully implemented in models with extended scalar and gauge sectors. We provide a systematic analysis of RSB in such models: we review the common approximative methods of studying RSB, emphasising their limits of applicability and discuss the relevance of the relative magnitudes of tree-level and loop contributions as well as the dependence of the results on the renormalisation scale. The general considerations are exemplified within the context of the conformal Standard Model extended with a scalar doublet of a new SU(2)X gauge group, the so-called SU(2)cSM. We show that various perturbative methods of studying RSB may yield significantly different results due to renormalisation-scale dependence. Implementing the renormalisation-group (RG) improvement method recently developed in ref. [1], which is well-suited for multi-scale models, we argue that the use of the RG improved effective potential can alleviate this scale dependence providing more reliable results.

AB - Radiative symmetry breaking (RSB) is a theoretically appealing framework for the generation of mass scales through quantum effects. It can be successfully implemented in models with extended scalar and gauge sectors. We provide a systematic analysis of RSB in such models: we review the common approximative methods of studying RSB, emphasising their limits of applicability and discuss the relevance of the relative magnitudes of tree-level and loop contributions as well as the dependence of the results on the renormalisation scale. The general considerations are exemplified within the context of the conformal Standard Model extended with a scalar doublet of a new SU(2)X gauge group, the so-called SU(2)cSM. We show that various perturbative methods of studying RSB may yield significantly different results due to renormalisation-scale dependence. Implementing the renormalisation-group (RG) improvement method recently developed in ref. [1], which is well-suited for multi-scale models, we argue that the use of the RG improved effective potential can alleviate this scale dependence providing more reliable results.

KW - Beyond Standard Model

KW - Conformal and W Symmetry

KW - Renormalization Group

KW - Spontaneous Symmetry Breaking

UR - http://www.scopus.com/inward/record.url?scp=85051728001&partnerID=8YFLogxK

U2 - 10.1007/JHEP08(2018)083

DO - 10.1007/JHEP08(2018)083

M3 - Article

AN - SCOPUS:85051728001

SN - 1126-6708

VL - 2018

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 8

M1 - 83

ER -

Systematic analysis of radiative symmetry breaking in models with extended scalar sector

Abstract

Funding

Keywords

Access to Document

Other files and links

Fingerprint

Cite this