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We verify a method which allows to obtain the $\beta$-function of supersymmetric theories regularized by higher covariant derivatives by calculating only specially modified vacuum supergraphs. With the help of this method for a general…

High Energy Physics - Theory · Physics 2022-05-11 Sergei Aleshin , Ivan Goriachuk , Dmitry Kolupaev , Konstantin Stepanyantz

Implicit regularization (IR) has been shown as an useful momentum space tool for perturbative calculations in dimension specific theories, such as chiral gauge, topological and supersymmetric quantum field theoretical models at one loop…

High Energy Physics - Theory · Physics 2009-11-11 C. R. Pontes , A. P. Baeta Scarpelli , Marcos Sampaio , M. C. Nemes

We discuss a framework for communicating supersymmetry breaking to the visible sector where the radius modulus, which determines the size of extra dimensions, has an auxiliary vacuum expectation value. The modulus couplings generate mass…

High Energy Physics - Phenomenology · Physics 2009-10-31 Tatsuo Kobayashi , Koichi Yoshioka

It is well known that in low energy supersymmetry the ratio of the gaugino mass to the gauge coupling squared, M/alpha, is renormalization group invariant to one-loop. We present a systematic analysis of the corrections to this ratio,…

High Energy Physics - Phenomenology · Physics 2009-10-31 Graham D. Kribs

For the general renormalizable N=1 supersymmetric Yang--Mills theory, regularized by higher covariant derivatives, a two-loop beta-function is calculated. It is shown that all integrals, needed for obtaining this function, can be easily…

High Energy Physics - Theory · Physics 2014-11-20 A. B. Pimenov , E. S. Shevtsova , K. V. Stepanyantz

The evaluation of three-loop contributions to the MSSM Higgs-boson mass is considered at the orders enhanced by the strong gauge coupling and top or bottom Yukawa couplings, i.e. at the orders…

High Energy Physics - Phenomenology · Physics 2018-09-26 Dominik Stöckinger , Josua Unger

Non-vanishing boundary localised terms significantly modify the mass spectrum and various interactions among the Kaluza-Klein excited states of 5-Dimensional Universal Extra Dimensional scenario. In this scenario we compute the…

High Energy Physics - Phenomenology · Physics 2019-07-03 Avirup Shaw

We analize the impact of two-loop renormalization group equations on the $SU(3)_c\times SU(2)_w\times U(1)_Y$ gauge couplings unification in various supersymmetric theories. In general the presence of superfields in higher representation…

High Energy Physics - Phenomenology · Physics 2017-09-25 Antonio Costantini

For the ${\cal N}=1$ supersymmetric electrodynamics we investigate renormalization schemes in which the NSVZ equation relating the $\beta$-function to the anomalous dimension of the matter superfields is valid in all loops. We demonstrate…

High Energy Physics - Theory · Physics 2018-09-12 I. O. Goriachuk , A. L. Kataev , K. V. Stepanyantz

The radiative correction to beta function is comprehensively studied at 1 loop in the context of universal extra dimensions. Instead of using cutoffs to regularize 1-loop divergences, the dimensional regularization scheme is used. Large…

High Energy Physics - Phenomenology · Physics 2020-07-01 M. Huerta-Leal , H. Novales-Sánchez , J. J. Toscano

The one-loop contribution of the excited Kaluza-Klein (KK) modes of the $SU_L(2)$ gauge group on the off-shell $WW\gamma$ and $WWZ$ vertices is calculated in the context of a pure Yang-Mills theory in five dimensions and its…

High Energy Physics - Phenomenology · Physics 2011-02-16 A. Flores-Tlalpa , J. Montano , H. Novales-Sánchez , F. Ramirez-Zavaleta , J. J. Toscano

We present the beta functions of gauge and Yukawa couplings in general four-dimensional quantum field theory, at four and three loops, respectively. The essence of our approach is fixing unknown coefficients in the most general ansatz for…

High Energy Physics - Phenomenology · Physics 2021-07-28 Alexander Bednyakov , Andrey Pikelner

Fermions in a space with some extra dimensional reflection symmetries are considered. In this space only one Kaluza-Klein mode is observed at the scales larger than the sizes of the extra dimensions while at the smaller scales all modes…

High Energy Physics - Theory · Physics 2009-11-18 Recai Erdem

For ${\cal N}=1$ SQED with $N_f$ flavors regularized by higher derivatives in the general $\xi$-gauge we calculate the three-loop anomalous dimension of the matter superfields defined in terms of the bare coupling constant and demonstrate…

High Energy Physics - Theory · Physics 2022-05-04 Ilya Shirokov , Konstantin Stepanyantz

The Kaluza-Klein idea of extra spacetime dimensions continues to pervade current attempts to unify the fundamental forces, but in ways somewhat different from that originally envisaged. We present a modern perspective on the role of…

High Energy Physics - Theory · Physics 2007-05-23 M. J. Duff

In ${\cal N}=1$ SQED with $N_f$ flavors regularized by higher derivatives we obtain the four-loop beta function using a method based on calculating vacuum supergraphs. For this purpose we use a special C++ program which obtain contributions…

High Energy Physics - Theory · Physics 2024-03-12 Ilya Shirokov , Valentina Shirokova

In this contribution we consider the recent computation of the gauge coupling $\beta$-function at four loops and the Yukawa matrix $\beta$-function at three loops in the most general, renormalizable and four-dimensional quantum field…

High Energy Physics - Phenomenology · Physics 2021-10-15 Florian Herren

We study, at the one loop level, the dominant new physics contributions from extra dimensions to Z -> b,b(bar), as well as B-B(bar) and K-K(bar) mixing. We use a model with one extra dimension containing fermions which live in four…

High Energy Physics - Phenomenology · Physics 2016-09-06 Joannis Papavassiliou , Arcadi Santamaria

We study systematically, through two loops, the divergence structure of the supersymmetric WZ model defined on the N=1/2 nonanticommutative superspace. By introducing a spurion field to represent the supersymmetry breaking term F^3 we are…

High Energy Physics - Theory · Physics 2009-11-10 Marcus T. Grisaru , Silvia Penati , Alberto Romagnoni

We present the full two-loop $\beta$-functions for the minimal supersymmetric standard model couplings, extended to include R-parity violating couplings through explicit R-parity violation.

High Energy Physics - Theory · Physics 2011-03-22 A. F. Kord , A. Yazdanian
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