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The idea of quark-lepton universality at high energies has been introduced as a natural extension to the standard model. This is achieved by endowing leptons with new degrees of freedom -- leptonic colour, an analogue of the familiar quark…

High Energy Physics - Phenomenology · Physics 2014-11-18 Alison Demaria , Catherine I. Low , Raymond R. Volkas

In this paper we summarize the minimal supersymmetric standard model as well as the renormalization group equations of its parameters. We proceed to examine the feasability of the model when the breaking of supersymmetry is parametrized by…

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

The simplest extension of the MSSM that does not contradict LEP II experimental bound on the lightest Higgs boson mass at $\tan\beta\sim 1$ is the modified Next-to-Minimal Supersymmetric Standard Model (MNSSM). We investigate the…

High Energy Physics - Phenomenology · Physics 2009-11-10 R. B. Nevzorov , M. A. Trusov

The exact renormalisation group equation is studied for a two-dimensional theory with exponential interaction and a background charge at infinity. The motivation for studying this interaction is the flow between unitary minimal models…

High Energy Physics - Theory · Physics 2009-10-31 Lars Kjaergaard

Renormalization Group flows relate the values of couplings at different scales. Here, we go beyond the Renormalization Group flow of individual trajectories and derive an evolution equation for a distribution on the space of couplings. This…

High Energy Physics - Theory · Physics 2025-06-17 Astrid Eichhorn , Aaron Held

The renormalization group flow of soft supersymmetry breaking masses is sensitive to the field contents of the theory one considers. We point out that the addition of extra vector-like matter fields to the minimal supersymmetric standard…

High Energy Physics - Phenomenology · Physics 2015-06-25 Motoi Endo , Masahiro Yamaguchi , Akira Yotsuyanagi

Some recent all-loop results on the renormalization of supersymmetric theories are summarized and reviewed. In particular, we discuss how it is possible to construct expressions which do not receive quantum corrections in all orders for…

High Energy Physics - Theory · Physics 2025-12-30 Konstantin Stepanyantz

The well-known Yang-Mills theory with one $ S^{1} / Z_{2}$ universal extra dimension (UED) is generalized to an arbitrary number of spatial extra dimensions through a novel compactification scheme. In this paper, the Riemannian flat based…

High Energy Physics - Theory · Physics 2015-02-04 M. A. López-Osorio , E. Martínez-Pascual , H. Novales-Sánchez , J. J. Toscano

We present the complete 2-loop renormalisation group equations of the superpotential parameters for the supersymmetric standard model including the full set of R-parity violating couplings. We use these equations to do a study of (a) gauge…

High Energy Physics - Phenomenology · Physics 2014-11-17 B. C. Allanach , A. Dedes , H. K. Dreiner

We provide a brief overview of tensor models and group field theories, focusing on their main common features. Both frameworks arose in the context of quantum gravity research, and can be understood as higher-dimensional generalizations of…

Mathematical Physics · Physics 2024-04-12 Sylvain Carrozza

We study the ultraviolet problem for QED in d=3 using Balaban's formulation of the renormalization group. The model is defined on a fine toroidal lattice and we seek control as the lattice spacing goes to zero. As a first step we take a…

Mathematical Physics · Physics 2017-08-03 J. Dimock

In the Standard Model, there is the single Higgs field, $\phi$, which gives rise to constituent quark and lepton masses. The Yukawa coupling is a highly complex set of $3 \times 3$ matrices, resulting in many textures of quark and lepton…

High Energy Physics - Phenomenology · Physics 2015-06-22 Ngee-Pong Chang

Phase equations describing the evolution of large scale modulation of spatially periodic patterns in two dimensional systems are derived by employing the renormalization group method. A general formula for phase diffusion coefficients is…

patt-sol · Physics 2009-10-30 Shin-ichi Sasa

In the weak-coupling regime of the continuous theories, two sets of one-loop renormalization group equations are derived and solved to disclose the phase diagrams of the antiferromagnetic generalized two-leg spin-1/2 ladder under the effect…

Strongly Correlated Electrons · Physics 2009-11-10 Y. -J. Wang

Using a set of rephasing-invariant variables, it is shown that the renormalization group equations for quark mixing parameters can be written in a form that is compact, in addition to having simple properties under flavor permutation. We…

High Energy Physics - Phenomenology · Physics 2016-05-16 S. H. Chiu , T. K. Kuo

The constraints on the radion evolution in the Universal Extra Dimension (UED) model from Cosmic Microwave Background (CMB) and Type Ia supernovae (SNe Ia) data are studied. In the UED model, where both the gravity and standard model fields…

Astrophysics · Physics 2008-12-18 K. C. Chan , M. -C. Chu

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

I review the Thirring model in 2+1$d$ dimensions, focussing in particular on possible strongly-interacting UV-stable fixed points of the renormalisation group, corresponding to a continuous phase transition where a U($2N$) global symmetry…

High Energy Physics - Lattice · Physics 2021-05-21 Simon Hands

We analyze the possibility of the leptonic mixing matrix having a Wolfenstein form at the Grand Unified Theory scale. The renormalization group evolution of masses and mixing angles from the high scale to electroweak scale, in certain new…

High Energy Physics - Phenomenology · Physics 2024-03-27 Ankur Panchal , G. Rajasekaran , Rahul Srivastava

We propose a six dimensional Universal Extra Dimensions (UED) model compactified on a real projective plane $RP^2$, a two-sphere with its antipodal points being identified. We utilize the Randjbar-Daemi-Salam-Strathdee spontaneous sphere…

High Energy Physics - Phenomenology · Physics 2014-11-20 Hideto Dohi , Kin-ya Oda