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Grand Unified Theories often involve additional Abelian group factors apart from the standard model hypercharge, that generally lead to loop-induced mixing gauge kinetic terms. In this letter, we show that at the one-loop level this effect…

High Energy Physics - Phenomenology · Physics 2012-02-22 Felix Braam , Juergen Reuter

We obtain the one- and two-loop renormalization group equations for soft SUSY breaking scalar interactions in general, semi-simple SUSY gauge model, by using the supergraph method. We find that the method simplifies the calculation…

High Energy Physics - Phenomenology · Physics 2009-10-28 Youichi Yamada

A distinctive feature of string unification is the possibility of unification by a non-simply-laced group. This occurs most naturally in four dimensional type~II string models where the gauge symmetry is realized by Kac-Moody algebras at…

High Energy Physics - Theory · Physics 2010-11-15 L. Dolan , James T. Liu

We propose a general scheme for constructing models in which the Standard Model (SM) gauge interactions are the mediators of supersymmetry breaking to the fields in the supersymmetric SM, but where the SM gauge groups couple directly to the…

High Energy Physics - Phenomenology · Physics 2016-09-06 Nima Arkani-Hamed , John March-Russell , Hitoshi Murayama

The technique known as group averaging provides powerful machinery for the study of constrained systems. However, it is likely to be well defined only in a limited set of cases. Here, we investigate the possibility of using a `renormalized'…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Andres Gomberoff , Donald Marolf

We investigate the renormalization group (RG) flow of SU(3) lattice gauge theory in a two coupling space with couplings $\beta_{11}$ and $\beta_{12}$ corresponding to $1\times 1$ and $1\times 2$ loops respectively. Extensive numerical…

We compute the two-loop renormalization group equations for all soft supersymmetry-breaking couplings in a general softly broken N=1 supersymmetric model. We also specialize these results to the Minimal Supersymmetric Standard Model.

High Energy Physics - Phenomenology · Physics 2014-11-17 Stephen P. Martin , Michael T. Vaughn

In supersymmetric quantum electrodynamics there is the exact relation between the expressed through the unrenormalized coupling gauge beta-function and the anomalous dimension of matter superfields. In the present report we describe the…

High Energy Physics - Theory · Physics 2019-12-30 I. O. Goriachuk , A. L. Kataev

We prove the renormalizability of a gauge-invariant, four-dimensional GFT model on SU(2), whose defining interactions correspond to necklace bubbles (found also in the context of new large-N expansions of tensor models), rather than melonic…

General Relativity and Quantum Cosmology · Physics 2017-09-14 Sylvain Carrozza , Vincent Lahoche , Daniele Oriti

We explore supersymmetry breaking in the light of a rich fixed-point structure of two-dimensional supersymmetric Wess-Zumino models with one supercharge using the functional renormalization group (RG). We relate the dynamical breaking of…

High Energy Physics - Theory · Physics 2013-05-29 Holger Gies , Franziska Synatschke , Andreas Wipf

Gauge mediation of supersymmetry breaking in the observable sector is an attractive idea, which naturally alleviates the flavour changing neutral current problem of supersymmetric theories. Quite generally, however, the number and quantum…

High Energy Physics - Phenomenology · Physics 2009-10-07 C. E. M. Wagner

Large-$N$ renormalization group equations for one- and two-matrix models are derived. The exact renormalization group equation involving infinitely many induced interactions can be rewritten in a form that has a finite number of coupling…

High Energy Physics - Theory · Physics 2014-03-25 Saburo Higuchi , Chigak Itoi , Shinsuke Nishigaki , Norisuke Sakai

Recently we proposed a natural scenario of grand unified theories with anomalous U(1)_A gauge symmetry, in which doublet-triplet splitting is realized in SO(10) unification using Dimopoulos-Wilczek mechanism and realistic quark and lepton…

High Energy Physics - Phenomenology · Physics 2009-11-07 Nobuhiro Maekawa

In this talk, we present a minimal viable scenario that unifies the gauge symmetries of the Standard Model (SM) and their breaking sector. Our Gauge-Higgs Grand Unification setup employs 5D warped space with a $SU(6)$ bulk gauge field that…

High Energy Physics - Phenomenology · Physics 2021-09-30 Andrei Angelescu , Andreas Bally , Simone Blasi , Florian Goertz

We consider a three-dimensional lattice Abelian Higgs gauge model for a charged $N$-component scalar field ${\phi}$, which is invariant under $SO(N)$ global transformations for generic values of the parameters. We focus on the…

Statistical Mechanics · Physics 2024-06-21 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

We consider a 5-dimensional SU(5) model wherein the symmetry is broken to the 4-dimensional Standard Model by compactification of the 5th dimension on an S^1/(Z_2 \times Z^\prime_2) orbifold. We identify the members of all SU(5)…

High Energy Physics - Phenomenology · Physics 2009-11-07 Biswajoy Brahmachari , Amitava Raychaudhuri

A supersymmetric model with two copies of the Standard Model gauge groups is constructed in the gauge mediated supersymmetry breaking scenario. The supersymmetry breaking messengers are in a simple form. The Standard Model is obtained after…

High Energy Physics - Phenomenology · Physics 2010-12-03 J. G. Körner , Chun Liu

I define the Standard Supersymmetric Model (SSM) as the minimal supersymmetric extension ofthe Standard Model with gauge coupling unification and universal soft supersymmetry breaking at the unification scale. This well-defined model has a…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Kelley

Lattice regularizations are pivotal in the non-perturbative quantization of gauge field theories. Wilson's proposal to employ group-valued link fields simplifies the regularization of gauge fields in principal fiber bundles, preserving…

General Relativity and Quantum Cosmology · Physics 2023-11-02 Thorsten Lang , Susanne Schander

Renormalization group theory is a powerful and intriguing technique with a wide range of applications. One of the main successes of renormalization group theory is the description of continuous phase transitions and the development of…

Statistical Mechanics · Physics 2025-02-04 Luca Di Carlo