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The one-loop renormalization-group equations (RGEs) running behavior of quark and lepton mass matrices with general structures are studied simultaneously. Suppose the non-linear terms of RGEs are dominated by the Yukawa couplings of top…

High Energy Physics - Phenomenology · Physics 2019-08-28 Zhi-cheng Liu

We analyze the two loop renormalization group equations in the standard model and its extensions for the coupling constants and the quark Yukawa couplings. The key point of our analysis is the observed hierarchy of the quark masses and the…

High Energy Physics - Phenomenology · Physics 2008-11-26 P. Kielanowski , S. R. Juárez W. , J. G. Mora H.

Leptoquarks are theoretically well-motivated and have received increasing attention in recent years as they can explain several hints for physics beyond the Standard Model. In this article, we calculate the renormalisation group evolution…

High Energy Physics - Phenomenology · Physics 2023-11-08 Sumit Banik , Andreas Crivellin

We consider the Renormalization Group Equations (RGE) for the couplings of the Standard Model and its extensions. Using the hierarchy of the quark masses and of the Cabibbo-Kobayashi-Maskawa (CKM) matrix our argument is that a consistent…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. R. Juárez W. , S. F. Herrera H. , P. Kielanowski , G. Mora

We consider a quark-lepton symmetry model of unification of the strong and electromagnetic interactions. The model has the gauge group $SU(4)\times U(1)_{Y}$ and the minimal Higgs structure consisting of one complex quartet of scalar…

High Energy Physics - Phenomenology · Physics 2009-04-09 E. K. Loginov

Using renormalization group techniques, we examine several interesting relations among masses and mixing angles of quarks and leptons in the Standard Model. We extend the analysis to the minimal supersymmetric extension to determine its…

High Energy Physics - Phenomenology · Physics 2009-10-22 H. Arason , D. J. Castano , E. J. Piard , P. Ramond

I discuss the matching relations for the running renormalizable parameters when the heavy particles (top quark, Higgs scalar, Z and W vector bosons) are simultaneously decoupled from the Standard Model. The complete two-loop order matching…

High Energy Physics - Phenomenology · Physics 2019-02-20 Stephen P. Martin

Plausible interrelations between parameters of the standard model are studied. The empirical value of the top quark mass, when used in the renormalization group equations, suggests that the ratio of the colour SU(3) gauge coupling $g_3$,…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. Ananthanarayan , J. Pasupathy

Renormalization group analysis is made on the relation $m_{\rm H} \simeq \sqrt{2}m_t$ for masses of the top quark and the Higgs boson, which is predicted by the standard model based on generalized covariant derivatives with gauge and Higgs…

High Energy Physics - Phenomenology · Physics 2009-10-28 Tadatomi Shinohara , Kouzou Nishida , Hajime Tanaka , Ikuo S. Sogami

We calculate the one-loop renormalization group equations of the neutrino mass matrix when the Standard Model particle content is extended with a massive gauge boson which has family-dependent couplings to the left-handed leptons. We show…

High Energy Physics - Phenomenology · Physics 2026-04-02 Alejandro Ibarra , Lukas Treuer

We present a renormalization group study of the scalar potential in a minimal $U(1)_{B-L}$ extension of the Standard Model involving one extra heavier Higgs and three heavy right-handed neutrinos with family universal B-L charge…

High Energy Physics - Phenomenology · Physics 2016-08-03 Claudio Coriano , Luigi Delle Rose , Carlo Marzo

The renormalization group equations (RGEs) of the mass matrices of quarks and leptons in a SO(10) model with two Higgs scalars in the Yukawa coupling are studied. This model is the minimal model of SUSY and non-SUSY SO(10) GUT which can…

High Energy Physics - Phenomenology · Physics 2009-11-07 Takeshi Fukuyama , Tatsuru Kikuchi

Guided by considerations of flavour symmetry, we construct a set of exact Standard Model (SM) renormalisation group evolution invariants which link quark masses and mixing parameters. We examine their phenomenological implications and infer…

High Energy Physics - Phenomenology · Physics 2010-12-13 P. F. Harrison , R. Krishnan , W. G. Scott

We study $b \to s \ell_1^+ \ell_2^-$ transitions, both for the lepton flavour conserving $\ell_1=\ell_2$ and violating case $\ell_1 \neq \ell_2$, in a minimal extension of the Standard Model proposed in [1]. In this framework, the Standard…

High Energy Physics - Phenomenology · Physics 2026-01-23 Pietro Colangelo , Fulvia De Fazio , Davide Milillo

We review the Universal Extra-Dimensional Model compactified on a S1/Z2 orbifold, and the renormalisation group evolution of quark and lepton masses, mixing angles and phases both in the UED extension of the Standard Model and of the…

High Energy Physics - Phenomenology · Physics 2015-06-11 A. S. Cornell , Aldo Deandrea , Lu-Xin Liu , Ahmad Tarhini

The masses and their variation with energy of the elementary particles obtained by solving the one loop renormalization group equation (RGE) in the Minimal Supersymmetric Standard Model (MSSM) is considered. A mass about 115 GeV for all the…

High Energy Physics - Phenomenology · Physics 2009-07-20 B B Deo , L Maharana , P K Mishra

We propose a realistic A4 extension of the Standard Model involving a particular quark-lepton mass relation, namely that the ratio of the third family mass to the geometric mean of the first and second family masses are equal for down-type…

High Energy Physics - Phenomenology · Physics 2013-09-05 S. F. King , S. Morisi , E. Peinado , J. W. F. Valle

We study the low energy evolution of coupling constants of the standard model and show that gauge coupling unification can be achieved at the electroweak scale with a suitable normalization. We choose the grand unification group to be the…

High Energy Physics - Phenomenology · Physics 2013-01-30 E. K. Loginov

We derive one-loop renormalization group equations (RGE's) for Yukawa coupling parameters of quarks and for the vacuum expectation values of the Higgs doublets in a general framework of the Standard Model with two Higgs doublets (2HDM…

High Energy Physics - Phenomenology · Physics 2009-10-30 G. Cvetic , C. S. Kim , S. S. Hwang

We investigate the renormalization group flows and fixed point structure of many coupled minimal models. The models are coupled two by two by energy-energy couplings. We take the general approach where the bare couplings are all taken to be…

Statistical Mechanics · Physics 2011-07-19 M. -A. Lewis , P. Simon
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