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Related papers: The Standard Model Effective Potential at Two Loop…

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We calculate the mass of the Higgs boson in the Standard Model in terms of the underlying Lagrangian parameters at complete 2-loop order with leading 3-loop corrections. A computer program implementing the results is provided. The program…

High Energy Physics - Phenomenology · Physics 2022-01-12 Stephen P. Martin , David G. Robertson

We investigate the chaotic inflationary model using the two-loop effective potential of a self-interacting scalar field theory in curved spacetime. We use the potential which contains a non-minimal scalar curvature coupling and a quartic…

High Energy Physics - Phenomenology · Physics 2015-05-20 Tomohiro Inagaki , Ryota Nakanishi , Sergei D. Odintsov

We generalize the effective potential to scalar field configurations which are proportional to the Hubble parameter of a homogeneous and isotropic background geometry. This may be useful in situations for which curvature effects are…

General Relativity and Quantum Cosmology · Physics 2010-01-15 T. M. Janssen , S. P. Miao , T. Prokopec , R. P. Woodard

In a four dimensional theory of gravity with lagrangian quadratic in curvature and torsion, we compute the effective action for metrics of the form $g_{\mu\nu}=\rho^2\delta_{\mu\nu}$, with $\rho$ constant. Using standard field-theoretic…

High Energy Physics - Theory · Physics 2009-10-22 R. Floreanini , R. Percacci

We consider general renormalizable scalar field theory and derive six-loop beta functions for all parameters in d = 4 dimensions within the $\overline{MS}$-scheme. We do not explicitly compute relevant loop integrals but utilize…

High Energy Physics - Phenomenology · Physics 2021-04-28 Alexander Bednyakov , Andrey Pikelner

We discuss the renormalization of the electric charge at the two-loop level in the Standard Model of the electroweak interactions. We explicitly calculate the expression of the complete on-shell two-loop counterterm using the Background…

High Energy Physics - Phenomenology · Physics 2009-11-10 Giuseppe Degrassi , Alessandro Vicini

I present the two-loop self-energy functions for scalar bosons in a general renormalizable theory, within the approximation that vector bosons are treated as massless or equivalently that gauge symmetries are unbroken. This enables the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Stephen P. Martin

We compute the O(alpha_t alpha_s) two-loop corrections to the neutral Higgs boson masses in the Minimal Supersymmetric extension of the Standard Model. An appropriate use of the effective potential allows us to obtain simple analytical…

High Energy Physics - Phenomenology · Physics 2009-11-07 Giuseppe Degrassi , Pietro Slavich , Fabio Zwirner

In this paper, we compute the constrained QCD effective potential up to two-loop order with finite quark mass and chemical potential. We present the explicit calculations by using the double line notation and analytical expressions for…

High Energy Physics - Phenomenology · Physics 2019-05-14 Yun Guo , Qianqian Du

We study, in the Minimal Supersymmetric Standard Model, the electroweak symmetry breaking conditions obtained from the one-loop effective potential. Novel model-independent lower and upper bounds on $\tan \beta$, involving the other free…

High Energy Physics - Phenomenology · Physics 2007-05-23 Christophe Le Mouel , Gilbert Moultaka

We consider the scalar sector of a general renormalizable theory and evaluate the effective potential through three loops analytically. We encounter three-loop vacuum bubble diagrams with up to two masses and six lines, which we solve using…

High Energy Physics - Theory · Physics 2018-11-13 Bernd A. Kniehl , Andrey F. Pikelner , Oleg L. Veretin

We compute the two-loop effective K\"ahler potential in three-dimensional N=2 supersymmetric electrodynamics with Chern-Simons kinetic term for the gauge superfield. The effective action is constructed on the base of background field method…

High Energy Physics - Theory · Physics 2015-06-04 I. L. Buchbinder , B. S. Merzlikin

We calculate explicitly the one-loop effective potential in different Lorentz-breaking field theory models. First, we consider a Yukawa-like theory and, then, some examples of Lorentz-violating extensions of scalar QED. We observed, for the…

High Energy Physics - Theory · Physics 2018-01-17 A. P. Baeta Scarpelli , L. C. T. Brito , J. C. C. Felipe , J. R. Nascimento , A. Yu. Petrov

We derive a general formula for two-loop counterterms in Effective Field Theories (EFTs) using a geometric approach. This formula allows the two-loop results of our previous paper to be applied to a wide range of theories. The two-loop…

High Energy Physics - Phenomenology · Physics 2023-11-13 Elizabeth E. Jenkins , Aneesh V. Manohar , Luca Naterop , Julie Pagès

We determine the three-loop $\overline{\text{MS}}$ quartic $ \beta $-function for the most general renormalisable four-dimensional theories. A general parametrization of the $ \beta $-function is compared to known $ \beta $-functions for…

High Energy Physics - Phenomenology · Physics 2024-08-13 Tom Steudtner , Anders Eller Thomsen

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

Using the one-loop Coleman-Weinberg effective potential, we derive a general analytic expression for all the derivatives of the effective potential with respect to any number of classical scalar fields. The result is valid for a…

High Energy Physics - Phenomenology · Physics 2016-07-29 José Eliel Camargo-Molina , António P. Morais , Roman Pasechnik , Marco O. P. Sampaio , Jonas Wessén

We calculate the 1-loop effective potential in a supersymmetric model in 5D with $S^1/(Z_2\times Z_2)$ orbifold compactification. The procedure of calculation consists of evaluating first the integrals over four-momenta using the…

High Energy Physics - Theory · Physics 2010-11-19 Vicente Di Clemente , Yuri A. Kubyshin

We construct the effective potential for the dimension two composite operator 1/2 A^{a 2}_\mu in QCD with massless quarks in the Landau gauge for an arbitrary colour group at two loops. For SU(3) we show that an estimate for the effective…

High Energy Physics - Theory · Physics 2009-11-10 R. E. Browne , J. A. Gracey

I find the three-loop contribution to the effective potential for the Standard Model Higgs field, in the approximation that the strong and top Yukawa couplings are large compared to all other couplings, using dimensional regularization with…

High Energy Physics - Phenomenology · Physics 2014-01-15 Stephen P. Martin