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The renormalization group is used to sum the leading-log (LL) contributions to the effective action for a large constant external gauge field in terms of the one-loop renormalization group (RG) function beta, the next-to-leading-log (NLL)…

High Energy Physics - Theory · Physics 2015-05-27 D. G. C. McKeon

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

The connection between gauge and Higgs sectors makes supersymmetric extensions of the Standard Model predictive frameworks for the derivation of Higgs masses. In this paper, we study the contamination of such predictions by…

High Energy Physics - Phenomenology · Physics 2021-08-18 Florian Domingo , Sebastian Paßehr

The Higgs-mass dependence of the Standard Model contributions to the correlation between the gauge-boson masses is studied at the two-loop level. Exact results are given for the Higgs-dependent two-loop corrections associated with the…

High Energy Physics - Phenomenology · Physics 2009-10-30 S. Bauberger , G. Weiglein

We briefly review a recently proposed scheme for a gauge-invariant treatment of tadpole corrections in spontaneously broken gauge theories called Gauge-Invariant Vacuum expectation value Scheme (GIVS). The tadpole scheme matters in…

High Energy Physics - Phenomenology · Physics 2022-07-29 Stefan Dittmaier , Heidi Rzehak

We show that the holomorphic Wilsonian beta-function of a renormalizable asymptotically free supersymmetric gauge theory with an arbitrary semi-simple gauge group, matter content, and renormalizable superpotential is exhausted at 1-loop…

High Energy Physics - Theory · Physics 2014-11-18 Michael Graesser , Bogdan Morariu

We consider the renormalisation group flow of gauge couplings within the so-called exceptional supersymmetric standard model (E$_6$SSM) based on the low energy matter content of 27 dimensional representations of the gauge group $E_6$,…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. F. King , S. Moretti , R. Nevzorov

We compute the beta functions of the three Standard Model gauge couplings to four-loop order in the modified minimal subtraction scheme. At this order a proper definition of $\gamma_5$ in $D=4-2\epsilon$ space-time dimensions is required;…

High Energy Physics - Phenomenology · Physics 2020-02-26 Joshua Davies , Florian Herren , Colin Poole , Matthias Steinhauser , Anders Eller Thomsen

We perform a renormalisation group analysis of the next-to-minimal supersymmetric standard model (NMSSM) based on the following constraints: two-loop gauge coupling unification at a variable scale $M_X$, running the gauge couplings through…

High Energy Physics - Phenomenology · Physics 2009-10-28 T. Elliott , S. F. King , P. L. White

We have investigated the gauge dependence of the vacuum expectation value(VEV) both in the $R_{\xi }$ and the $\overline{R_{\xi }}$ gauge in the $\overline{MS}$ scheme. We have found that, in case of the $R_{\xi }$ gauge, the gauge…

High Energy Physics - Phenomenology · Physics 2016-01-20 Chungku Kim

We report on a two-loop supersymmetric contribution to the magnetic moment (g-2)_mu of the muon which is enhanced by two powers of tan(beta). This contribution arises from a shift in the relation between the muon mass and Yukawa coupling…

High Energy Physics - Phenomenology · Physics 2009-11-13 Schedar Marchetti , Susanne Mertens , Ulrich Nierste , Dominik Stöckinger

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

It is shown that the Sigma-Omega model which is widely used in the study of nuclear relativistic many-body problem can exactly be treated as an Abelian massive gauge field theory. The quantization of this theory can perfectly be performed…

Nuclear Theory · Physics 2009-11-10 Jun-Chen Su , Hai-Jhun Wanng

The charged-Higgs boson contributions to the Wilson coefficients C_7 and C_8, relevant for the decay B -> X_s gamma, are discussed in supersymmetric models at large tan beta. These contributions receive two-loop O(alpha_s tan beta)…

High Energy Physics - Phenomenology · Physics 2007-05-23 Youichi Yamada

We examine the renormalizability problem of spontaneously broken non-Abelian gauge theory on noncommutative spacetime. We show by an explicit analysis of the U(2) case that ultraviolet divergences can be removed at one loop level with the…

High Energy Physics - Theory · Physics 2010-02-03 Yi Liao

We perform a systematic one-loop renormalization to the standard model with a nonlinearly realized Higgs boson field and the electroweak chiral Lagrangian up to $O(p^2)$ order. We find even in the nonlinear form, the Higgs model of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Qi-Shu Yan

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

We evaluate O(alpha_b alpha_s) corrections in the Higgs boson sector of the CP-conserving MSSM, generalising the known result in the literature to arbitrary values of tan beta. A detailed analysis of the renormalisation in the bottom/scalar…

High Energy Physics - Phenomenology · Physics 2011-01-27 S. Heinemeyer , W. Hollik , H. Rzehak , G. Weiglein

We take the manifestly gauge invariant exact renormalisation group previously used to compute the one-loop beta function in SU(N) Yang-Mills without gauge fixing, and generalise it so that it can be renormalised straightforwardly at any…

High Energy Physics - Theory · Physics 2008-11-26 Stefano Arnone , Tim R. Morris , Oliver J. Rosten

The critical fluctuations of superconductors are discussed in a fixed dimension scaling suited to describe the type II regime. The gauge dependence of the anomalous dimension of the scalar field is stablished exactly from the Ward-Takahashi…

Superconductivity · Physics 2010-12-17 F. S. Nogueira
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