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Related papers: Effective potential at three loops

200 papers

In the absence of a tree-level scalar-field mass, renormalization-group methods permit the explicit summation of leading-logarithm contributions to all orders of the perturbative series within the effective potential for $SU(2)\times U(1)$…

High Energy Physics - Phenomenology · Physics 2009-11-10 V. Elias , R. B. Mann , D. G. C. McKeon , T. G. Steele

In this Letter we consider renormalization of a class of scalar operators with fixed hypercharge $Q$ within the Standard Model. We carry out explicit computation of the corresponding anomalous dimensions up to the three-loop order. In spite…

High Energy Physics - Phenomenology · Physics 2024-04-04 A. V. Bednyakov

We consider the effective potential V in the massless Wess-Zumino model. By using the renormalization group equation, we show that the explicit dependence of V on the renormalization mass scale mu cancels. If V has an extremum at some…

High Energy Physics - Theory · Physics 2019-06-26 D. G. C. McKeon

We review various effective potential methods which have been useful to compute the Higgs mass spectrum and couplings of the minimal supersymmetric standard model. We compare results where all-loop next-to-leading-log corrections are…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Quirós

We present the Renormalization Group improvement of the Twin Higgs effective potential at cubic order in logarithmic accuracy. We first introduce a model-independent low-energy effective Lagrangian that captures both the…

High Energy Physics - Phenomenology · Physics 2016-11-22 Davide Greco , Kin Mimouni

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

We calculate the one-loop effective potential of a scalar field in a Robertson-Walker background with scalar metric perturbations. A complete set of orthonormal solutions of the perturbed equations is obtained by using the adiabatic…

High Energy Physics - Phenomenology · Physics 2016-11-23 Antonio L. Maroto , Francisco Prada

We discuss the resummation of the Goldstone boson contributions to the effective potential of the Minimal Supersymmetric Standard Model (MSSM). This eliminates the formal problems of spurious imaginary parts and logarithmic singularities in…

High Energy Physics - Phenomenology · Physics 2016-07-20 Nilanjana Kumar , Stephen P. Martin

As a step towards deriving universal amplitude ratios of the superconductive phase transition we calculate the vacuum energy density in the symmetric phase of O(N)-symmetric scalar QED in D=4-epsilon dimensions in an epsilon-expansion using…

Statistical Mechanics · Physics 2007-05-23 Boris Kastening , Hagen Kleinert , Bruno Van den Bossche

Using the renormalization group techniques it was previously shown that the perturbative effective potential in the $\mathcal{O}(N)$ symmetric $\phi^4$ theory, massless scalar electrodynamics as well as in the conformal limit of the…

High Energy Physics - Theory · Physics 2013-07-02 T. Hanif , N. Ishtiaque

It is well known that effective potentials can be gauge-dependent while their values at extrema should be gauge-invariant. Unfortunately, establishing this invariance in perturbation theory is not straightforward, since contributions from…

High Energy Physics - Phenomenology · Physics 2015-06-22 Anders Andreassen , William Frost , Matthew D. Schwartz

The effective potential of the Standard Model (SM), from three loop order and higher, suffers from infra-red (IR) divergences arising from quantum effects due to massless would-be Goldstone bosons associated with the longitudinal…

High Energy Physics - Phenomenology · Physics 2016-06-29 Apostolos Pilaftsis , Daniele Teresi

In previous work [cond-mat/9904207,cond-mat/9904215] we have developed a general method for casting stochastic partial differential equations (SPDEs) into a functional integral formalism, and have derived the one-loop effective potential…

Statistical Mechanics · Physics 2007-05-23 David Hochberg , Carmen Molina-Paris , Juan Perez-Mercader , Matt Visser

We apply the recently developed method of differential renormalization to the Wess-Zumino model. From the explicit calculation of a finite, renormalized effective action, the $\beta$-function is computed to three loops and is found to agree…

High Energy Physics - Theory · Physics 2009-10-22 Peter E. Haagensen

We formulate the electroweak chiral Lagrangian in its mass eigenstates, and study the its one-loop renormalization and provide its renormalization group equations to the same order, so as to complete it as the low energy effective theory of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Q. S. Yan , D. S. Du

I present the leading 3-loop contributions to the Fermi decay constant in the Standard Model, using the tadpole-free pure $\overline{\rm{MS}}$ scheme. The calculation is exact in the limit in which the QCD coupling, the top-quark Yukawa…

High Energy Physics - Phenomenology · Physics 2025-07-23 Stephen P. Martin

Using the method of renormalization group, we improve the two-loop effective potential of the massive $\phi^4$ theory to obtain the next-next-to-leading logarithm correction in the $\bar{MS}$ scheme. Our result well reproduces the…

High Energy Physics - Theory · Physics 2009-10-31 J. -M. Chung , B. K. Chung

We calculate a two-loop effective potential to the order of {\cal O}(\lambda_t^2\alpha_s) in the MSSM. We then study the corresponding two-loop corrections to the CP-even Higgs-boson mass for arbitrary \tan\beta and left-right top-squark…

High Energy Physics - Phenomenology · Physics 2009-10-31 Ren-Jie Zhang

We study the two-loop renormalization group equation for the running gaugino mass in the supersymmetric gauge theory. We find that both in the \msbar and \drbar renormalization schemes, the well-known proportionality of the runnings of the…

High Energy Physics - Phenomenology · Physics 2009-10-22 Youichi Yamada

We present a renormalization group study of the scalar potential in a minimal $U(1)_{B-L}$ extension of the Standard Model involving one extra heavier Higgs and three heavy right-handed neutrinos with family universal B-L charge…

High Energy Physics - Phenomenology · Physics 2016-08-03 Claudio Coriano , Luigi Delle Rose , Carlo Marzo