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We deal with extensions of the Standard Model by adding horizontal interactions between particle generations. We calculate two loop corrections caused by the presence of coupling between hypothetical horizontal gauge bosons and matter…

High Energy Physics - Phenomenology · Physics 2009-10-31 Dariusz Grech

Using a one-loop approximation for the effective potential in the Higgs model of electrodynamics for a charged scalar field, we argue for the existence of a triple point for the renormalized (running) values of the selfinteraction $\lambda$…

High Energy Physics - Theory · Physics 2007-05-23 L. V. Laperashvili , H. B. Nielsen

We calculate the standard model effective potential to two loops using minimal subtraction, and use the result to deduce the two-loop beta-functions for the scalar mass and quartic self-interaction.

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Ford , I. Jack , D. R. T. Jones

In this paper we compute one-loop corrections to masses and couplings in the minimal supersymmetric standard model. We present explicit formulae for the complete corrections and a set of compact approximations which hold over the unified…

High Energy Physics - Phenomenology · Physics 2009-03-12 Damien M. Pierce , Jonathan A. Bagger , Konstantin T. Matchev , Ren-Jie Zhang

Gravitational contributions to the running of gauge couplings are calculated by using different regularization schemes. As the $\beta$ function concerns counter-terms of dimension four, only quadratic divergences from the gravitational…

High Energy Physics - Phenomenology · Physics 2011-01-04 Yong Tang , Yue-Liang Wu

A recent proposal for gauge-invariant observables in inflation [R. Brunetti et al., JHEP 1608 (2016) 032] is examined. We give a generalisation of their construction to general background spacetimes. In flat space, we calculate one-loop…

General Relativity and Quantum Cosmology · Physics 2018-02-02 Markus B. Fröb

We compute the Schroedinger functional (SF) for the case of pure SU(3) gauge theory at two-loop order in lattice perturbation theory. This allows us to extract the three-loop beta-function in the SF-scheme. These results are required to…

High Energy Physics - Lattice · Physics 2009-10-31 A. Bode , P. Weisz , U. Wolff

We investigate the impact of extra vector-like GUT multiplets on the predicted value of the strong coupling. We find in particular that Yukawa couplings between such extra multiplets and the MSSM Higgs doublets can resolve the familiar…

High Energy Physics - Phenomenology · Physics 2012-08-10 Ivan Donkin , Arthur Hebecker

We study the low energy evolution of coupling constants of the standard model and show that gauge coupling unification can be achieved at the electroweak scale with a suitable normalization. We choose the grand unification group to be the…

High Energy Physics - Phenomenology · Physics 2013-01-30 E. K. Loginov

The $ \beta $-functions of marginal couplings are known to be closely related to the $ A $-function through Osborn's equation, derived using the local renormalization group. It is possible to derive strong constraints on the…

High Energy Physics - Theory · Physics 2019-10-02 Colin Poole , Anders Eller Thomsen

We investigate predictions of the trilinear Higgs self-coupling with radiative corrections in the context of the Inert Doublet Model. The triple Higgs vertex is computed at the one-loop level based on the on-shell renormalization scheme. We…

High Energy Physics - Phenomenology · Physics 2023-04-11 Jaouad El Falaki

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 derive quantum gravity contributions to the beta functions of the gauge and Yukawa couplings of a matter theory using the Schwinger proper-time flow equation. Working in the Einstein-Hilbert truncation, we investigate the gauge-fixing…

High Energy Physics - Phenomenology · Physics 2026-04-06 Gabriele Giacometti , Kamila Kowalska , Daniele Rizzo , Enrico Maria Sessolo , Dario Zappala

We consider the renormalization group equations within the Standard Model Effective Field Theory and compute two-loop contributions proportional to the top quark Yukawa coupling for the operator generating an effective Higgs-gluon coupling,…

High Energy Physics - Phenomenology · Physics 2025-11-13 Stefano Di Noi , Ramona Gröber , Manoj K. Mandal

We study the three-loop gauge $\beta$-functions in general $\mathcal{N}=1$ supersymmetric gauge theories regularized by higher covariant derivatives (HCD) supplemented with Pauli--Villars subtraction. The all-structure three-loop form of…

High Energy Physics - Theory · Physics 2026-04-20 Swapnil kumar Singh

We compute the full set of weak-scale gauge and Yukawa threshold corrections in the minimal supersymmetric standard model, and use them to study the effects of the supersymmetric particle spectrum on gauge and Yukawa coupling unification.

High Energy Physics - Phenomenology · Physics 2016-09-01 J. Bagger , K. Matchev , D. Pierce

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

I evaluate the largest three-loop corrections to the mass of the lightest Higgs scalar boson in the Minimal Supersymmetric Standard Model in a mass-independent renormalization scheme, using effective field theory and renormalization group…

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

The leading term in the gauge coupling beta function comes due to interaction of gauge field with gravitons. It is shown to be a universal quantity for all gauge theories. At one-loop it is found to be zero in four dimensions. This is…

High Energy Physics - Theory · Physics 2013-07-24 Gaurav Narain , Ramesh Anishetty

We consider gauge coupling unification in Lee-Wick extensions of the Standard Model that include higher-derivative quadratic terms beyond the minimally required set. We determine how the beta functions are modified when some Standard Model…

High Energy Physics - Phenomenology · Physics 2015-05-13 Christopher D. Carone