Renormalisation group determination of scalar mass bounds in a simple Yukawa-model-Reference-Cited by-同舟云学术

Renormalisation group determination of scalar mass bounds in a simple Yukawa-model

Published:2016-10-19 Issue:28n29 Volume:31 Page:1645042
ISSN:0217-751X
Container-title:International Journal of Modern Physics A
language:en
Short-container-title:Int. J. Mod. Phys. A

Author:

Jakovác A.¹,Kaposvári I.²,Patkós A.³

Affiliation:

1. Institute of Physics, Eötvös University, Budapest, H-1117, Hungary

2. Eötvös University, Budapest, H-1117, Hungary

3. MTA-ELTE Research Group for Biological and Statistical Physics, Budapest, H-1117, Hungary

Abstract

The scalar mass is determined in the simplest cut-off regularized Yukawa-model in the whole range of stability of the scalar potential. Two versions of the Functional Renormalisation Group (FRG) equations are solved in the Local Potential Approximation (LPA), where also the possible existence of a composite fermionic background is taken into account. The close agreement of the results with previous studies taking into account exclusively the effect of the scalar condensate, supports a rather small systematic truncation error of FRG due to the omission of higher dimensional operators.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217751X16450421

Reference21 articles.

1. Higgs and top quark masses in the standard model without elementary Higgs boson

2. S. Weinberg, in “General Relativity: An Einstein centenary survey”, ed. S.W. Hawking and W. Israel. Cambridge University Press, 1979. p. 790.

3. Asymptotic safety of gravity and the Higgs boson mass

4. Asymptotic safety guaranteed

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Coulomb gas and sine-Gordon model in arbitrary dimension;Nuclear Physics B;2022-02

2. Scheme dependence of asymptotically free solutions;The European Physical Journal C;2019-06

3. Asymptotic freedom in $$\mathbb {Z}_2$$ Z 2 -Yukawa-QCD models;The European Physical Journal C;2019-01-31

4. Probing baryogenesis through the Higgs boson self-coupling;Physical Review D;2018-04-04

5. Renormalization group flow of the Higgs potential;Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences;2018-01-22