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We recalculate four-loop renormalization group functions in 2-dimensional nonlinear O(n) {\sigma}-model using coordinate-space method. The high accuracy of calculation allow us to find the analytical form of {\beta}- and {\gamma}-function…

High Energy Physics - Phenomenology · Physics 2013-06-13 O. Veretin

We complete the effective potential calculation of the two-loop, top/bottom Yukawa corrections to the Higgs boson masses in the Minimal Supersymmetric Standard Model, by computing the O(at^2 + at*ab + ab^2) contributions for arbitrary…

High Energy Physics - Phenomenology · Physics 2008-11-26 Athanasios Dedes , Giuseppe Degrassi , Pietro Slavich

Results are presented for the leading two-loop contributions of O(alpha_t alpha_s) to the masses and mixing effects in the Higgs sector of the MSSM with complex parameters. They are obtained in the Feynman-diagrammatic approach using…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Heinemeyer , W. Hollik , H. Rzehak , G. Weiglein

Three-loop $\beta$-functions of the Minimal Supersymmetric Standard Model regularized by higher covariant derivatives are obtained for an arbitrary supersymmetric subtraction scheme. For this purpose we first calculate two-loop anomalous…

High Energy Physics - Phenomenology · Physics 2022-10-19 Olesya Haneychuk , Valentina Shirokova , Konstantin Stepanyantz

We present the two-loop SUSY-QCD corrections to the effective bottom Yukawa couplings within the minimal supersymmetric extension of the Standard Model. The effective Yukawa couplings include the resummation of the non-decoupling…

High Energy Physics - Phenomenology · Physics 2008-11-26 David Noth , Michael Spira

Two-loop $\beta$-function and anomalous dimension are calculated for N=1 supersymmetric quantum electrodynamics, regularized by higher derivatives in the minimal subtraction scheme. The result for two-loop contribution to the…

High Energy Physics - Theory · Physics 2007-05-23 A. Soloshenko , K. Stepanyantz

Spontaneous breaking of quantum scale invariance may provide a solution to the hierarchy and cosmological constant problems. In a scale-invariant regularization, we compute the two-loop potential of a higgs-like scalar $\phi$ in theories in…

High Energy Physics - Theory · Physics 2016-12-21 D. M. Ghilencea , Z. Lalak , P. Olszewski

We analyze the minimal supersymmetric Higgs self-couplings at O(alpha_t alpha_s) within the effective potential approach. The two-loop corrections turn out to be of moderate size in the DRbar scheme if the central scale is chosen as half…

High Energy Physics - Phenomenology · Physics 2014-12-24 Mathias Brucherseifer , Ryan Gavin , Michael Spira

In N=2 superconformal field theories the Kahler potential is known to be tree level exact. The beta-deformation of N=4 SU(N) SYM reduces the amount of supersymmetry to N=1, allowing for non-trivial, superconformal loop corrections to the…

High Energy Physics - Theory · Physics 2014-11-18 Simon J. Tyler

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

We perform the complete one-loop renormalization of a general two-Higgs-doublet model. We present all the vertices for this model including the ones in the scalar sector and calculate all the counterterms of the theory.

High Energy Physics - Phenomenology · Physics 2009-10-30 R. Santos , A. Barroso

In this paper, we consider the $\beta$ function at one-loop approximation for noncommutative scalar QED. The renormalization of the full theory, including the basic vertices, and the renormalization group equation are fully established.…

High Energy Physics - Theory · Physics 2017-04-27 M. Ghasemkhani , R. Bufalo , V. Rahmanpour , E. Nouri

Pad\'e-improvement of four-loop beta-functions in massive phi^4 scalar field theory is shown to predict the known five-loop contribution with astonishing (0.2%) accuracy, supporting the applicability of Pade-summations for approximating…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Elias , F. Chishtie , T. G. Steele

The leading electroweak MSSM two-loop corrections to the electroweak precision observables are calculated. They are obtained by evaluating the two-loop O(\alpha_t^2), O(\alpha_t \alpha_b), O(\alpha_b^2) contributions to the quantity…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. Heinemeyer , G. Weiglein

The complete set of static screening masses is determined for the SU(2) Higgs model from one-loop coupled gap equations. Results from the version, containing scalar fields both in the fundamental and adjoint representations are compared…

High Energy Physics - Phenomenology · Physics 2009-01-07 P. Petreczky , Zs. Szep , A. Patkos

We compute the two-loop $\beta$-function of scalar and spinorial quantum electrodynamics as well as pure Yang-Mills and quantum chromodynamics using the background field method in a fully quadridimensional setup using Implicit…

High Energy Physics - Phenomenology · Physics 2021-06-29 A. Cherchiglia , D. C. Arias-Perdomo , A. R. Vieira , M. Sampaio , B. Hiller

We present a systematic method for determining the two-loop effective Lagrangian resulting from integrating out a set of heavy particles in an ultraviolet scalar theory. We prove that the matching coefficients are entirely determined from…

High Energy Physics - Phenomenology · Physics 2024-03-19 Javier Fuentes-Martín , Ajdin Palavrić , Anders Eller Thomsen

Two loop renormalization group equations for dimensionless as well as dimensionful parameters are obtained for the low energy theories that result from decoupling heavy scalar particles in Split SUSY and Effective SUSY scenarios, assuming…

High Energy Physics - Phenomenology · Physics 2015-03-13 C. Tamarit

It is found that the exact beta-function $\beta(g)$ of the continuous 2D $g\Phi^{4}$ model possesses two types of dual symmetries, these being the Kramers-Wannier (KW) duality symmetry and the weak-strong-coupling symmetry $f(g)$, or…

Statistical Mechanics · Physics 2008-11-26 Boris N. Shalaev

We study two--loop renormalization in $(2+\epsilon)$--dimensional quantum gravity. As a first step towards the full calculation, we concentrate on the divergences which are proportional to the number of matter fields. We calculate the…

High Energy Physics - Theory · Physics 2016-09-06 Toshiaki Aida , Yoshihisa Kitazawa , Jun Nishimura , Asato Tsuchiya