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We consider N=1 SUSY gauge theory in six dimensions in components and show that provided the Dynkin indices of the matter fields representations satisfy the relation $\sum T(R)= C_2(G)$, the gauge sector is completely one-loop finite. In…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. I. Kazakov

We present a systematic investigation of one-loop renormalizability for nonanticommutative N=1/2, U(N) SYM theory in superspace. We first discuss classical gauge invariance of the pure gauge theory and show that in contradistinction to the…

High Energy Physics - Theory · Physics 2009-11-11 Marcus T. Grisaru , Silvia Penati , Alberto Romagnoni

Renormalizable nonanticommutative SYM theories with chiral matter in the adjoint representation of the gauge group have been recently constructed in [arXiv:0901.3094]. In the present paper we focus on the U*(1) case with matter interacting…

High Energy Physics - Theory · Physics 2009-07-22 Marco S. Bianchi , Silvia Penati , Alberto Romagnoni , Massimo Siani

We consider nonanticommutative SYM theories with chiral matter in the adjoint representation of the SU(N) x U(1) gauge group. In a superspace setup and manifest background covariant approach we investigate the one-loop renormalization of…

High Energy Physics - Theory · Physics 2009-04-02 Silvia Penati , Alberto Romagnoni , Massimo Siani

We present a through discussion of motivations for and phenomenological issues in supersymmetric models with minimal matter content and non-holomorphic soft-breaking terms. Using the unification of the gauge couplings and assuming SUSY is…

High Energy Physics - Phenomenology · Physics 2009-11-11 M. A. Cakir , S. Mutlu , L. Solmaz

We tackle the issue of renormalizability for Tensorial Group Field Theories (TGFT) including gauge invariance conditions, with the rigorous tool of multi-scale analysis, to prepare the ground for applications to quantum gravity models. In…

High Energy Physics - Theory · Physics 2014-04-04 Sylvain Carrozza , Daniele Oriti , Vincent Rivasseau

In this paper the building blocks for the two-loop renormalization of the Standard Model are introduced with a comprehensive discussion of the special vertices induced in the Lagrangian by a particular diagonalization of the neutral sector…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Actis , A. Ferroglia , G. Passarino , M. Passera

We renormalize the Curci-Ferrari model at two loops in the MSbar scheme in an arbitrary covariant gauge.

High Energy Physics - Theory · Physics 2009-11-07 J. A. Gracey

A detailed description of the method for analytical evaluation of the three-loop contributions to renormalization group functions is presented. This method is employed to calculate the charge renormalization function and anomalous…

High Energy Physics - Phenomenology · Physics 2015-06-12 O. V. Tarasov , A. A. Vladimirov

We apply the renormalization-group (RG) approach to two model systems where the two-dimensional Fermi surface has portions which give rise to the logarithmically singular two-loop self-energy process.

Strongly Correlated Electrons · Physics 2016-11-23 Jun-ichiro Kishine , Nobuo Furukawa , Kenji Yonemitsu

Recently, a new mechanism, which explains why the three gauge coupling constants meet at a certain scale in the minimal supersymmetric standard model, has been proposed in a scenario of grand unified theories with anomalous $U(1)_A$ gauge…

High Energy Physics - Phenomenology · Physics 2009-11-07 Nobuhiro Maekawa , Toshifumi Yamashita

A version of the Wilson Renormalization Group Equation consistent with gauge symmetry is presented. A perturbative renormalizability proof is established. A wilsonian derivation of the Callan-Symanzik equation is given.

High Energy Physics - Theory · Physics 2009-10-31 Michele Simionato

The most general Lagrangian for a model with two U(1) gauge symmetries contains a renormalizable operator which mixes their gauge kinetic terms. Such kinetic mixing can be generated at arbitrarily high scales but will not be suppressed by…

High Energy Physics - Phenomenology · Physics 2009-07-09 Keith R. Dienes , Christopher Kolda , John March-Russell

This article provides a Wilsonian description of the perturbatively renormalizable Tensorial Group Field Theory introduced in arXiv:1303.6772 [hep-th] (Commun. Math. Phys. 330, 581-637). It is a rank-3 model based on the gauge group SU(2),…

High Energy Physics - Theory · Physics 2015-04-14 Sylvain Carrozza

The evolution equations of the gauge and Yukawa couplings are derived for the two-loop renormalisation group equations in a five-dimensional SM compactified on a $S^1/Z_2$ to yield standard four space-time dimensions. Different…

High Energy Physics - Phenomenology · Physics 2015-06-12 Ammar Abdalgabar , A. S. Cornell

If supersymmetric particles are discovered, an important problem will be to determine how supersymmetry has been broken. At collider energies, supersymmetry breaking can be parameterised by soft supersymmetry breaking parameters. Several…

High Energy Physics - Phenomenology · Physics 2012-11-07 Jamil Hetzel

After briefly reviewing the nonperturbative dynamics of N=1 supersymmetric field theories, soft SUSY breaking mass terms are introduced into the SUSY gauge theories and their effects on gauge symmetry breaking pattern are studied. For…

High Energy Physics - Phenomenology · Physics 2016-09-06 N. Sakai

In this paper we analyze the one-loop renormalization of the $\theta$-expanded $\rm SU(N)$ Yang-Mills theory. We show that the {\it freedom parameter} $a$, key to renormalization, originates from higher order non-commutative gauge…

High Energy Physics - Theory · Physics 2008-11-26 Dusko Latas , Voja Radovanovic , Josip Trampetic

We study the renormalization group flow in weak power counting (WPC) renormalizable theories. The latter are theories which, after being formulated in terms of certain variables, display only a finite number of independent divergent…

High Energy Physics - Theory · Physics 2015-06-22 D. Bettinelli , D. Binosi , A. Quadri

In the Minimal Supersymmetric Standard Model (MSSM), there are numerous sources of flavour-violation in addition to the usual Kobayashi-Maskawa mixing matrix of the Standard Model. We reexamine the renormalisation group equations (RGEs)…

High Energy Physics - Phenomenology · Physics 2008-11-18 Andrew D. Box