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We comprehensively evaluate renormalized Higgs boson couplings at one-loop level in non-minimal Higgs models such as the Higgs Singlet Model (HSM) and the four types of Two Higgs Doublet Models (THDMs) with a softly-broken $Z_2$ symmetry.…

High Energy Physics - Phenomenology · Physics 2017-08-23 Shinya Kanemura , Mariko Kikuchi , Kodai Sakurai , Kei Yagyu

We consider the effective potential $V$ in the standard model with a single Higgs doublet in the limit that the only mass scale $\mu$ present is radiatively generated. Using a technique that has been shown to determine $V$ completely in…

High Energy Physics - Phenomenology · Physics 2011-05-19 F. A. Chishtie , T. Hanif , J. Jia , R. B. Mann , D. G. C. McKeon , T. N. Sherry , T. G. Steele

The renormalization of effective potential for the noncommutative scalar field theory is investigated to the two-loop approximation. It is seen that the nonplanar diagram does not appear in the one-loop potential. However, nonplanar diagram…

High Energy Physics - Theory · Physics 2009-10-31 Wung-Hong Huang

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

The consistent recursive subtraction of UV divergences order by order in the loop expansion for spontaneously broken effective field theories with dimension-6 derivative operators is presented for an Abelian gauge group. We solve the…

High Energy Physics - Phenomenology · Physics 2019-10-02 Daniele Binosi , Andrea Quadri

The renormalization of higher-dimensional operators in quantum field theory is essential for phenomenological analyses in particle physics, and plays a significant role in the study of critical phenomena. We present a framework for…

High Energy Physics - Phenomenology · Physics 2025-12-10 Guilherme Guedes , Jasper Roosmale Nepveu

The renormalization group is used to improve the effective potential of massive ${\rm O}(N)$ symmetric $\phi^4$ theory. Explicit results are given at the two-loop level.

High Energy Physics - Phenomenology · Physics 2009-10-22 Boris Kastening

I present a method for accurately calculating the pole mass of the lightest Higgs scalar boson in supersymmetric extensions of the Standard Model, using a mass-independent renormalization scheme. The Higgs scalar self-energies are…

High Energy Physics - Phenomenology · Physics 2009-11-07 Stephen P. Martin

We calculate the complete matrix of two-body scattering amplitudes for the scattering of longitudinally polarized gauge bosons $W_L^\pm$, $Z_L$ and Higgs bosons to two loops in the high-energy, heavy-Higgs limit $\sqrt{s}\gg M_H\gg M_W$.…

High Energy Physics - Phenomenology · Physics 2014-11-17 Peter N. Maher , Loyal Durand , Kurt Riesselmann

The Higgs field mass term, being superrenomalizable, has a unique status within the standard model. Through the opening it affords, $SU(3) \times SU(2) \times U(1)$ singlet fields can have renormalizable couplings to standard model fields.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Brian Patt , Frank Wilczek

I compute the complete two-loop effective potential for the minimal supersymmetric standard model in the Landau gauge. This enables an accurate determination of the minimization conditions for the vacuum expectation values of the Higgs…

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

We renormalize various scalar field theories with a $\phi^n$ self interaction such as $n$ $=$ $5$, $7$ and $9$ in their respective critical dimensions which are non-integer. The renormalization group functions for the $O(N)$ symmetric…

High Energy Physics - Theory · Physics 2022-05-17 J. A. Gracey

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

The scale invariant of the effective potential of the standard model at two-loop is used as a boundary condition under the assumption that the two-loop effective potential approximates the full effective potential. This condition leads with…

High Energy Physics - Phenomenology · Physics 2015-03-17 H. A. Alhendi , T. Barakat , I. Gh. Loqman

Renormalization group equations play a central role in effective field theories, both maintaining perturbative control and allowing one to determine the correct low-energy phenomenology. In this work, we complete the one-loop…

High Energy Physics - Phenomenology · Physics 2025-12-19 Renato M. Fonseca , Pablo Olgoso , José Santiago

Any effective field theory relies on power counting rules that allow one to perform a systematic expansion of calculated quantities in terms of some soft scales. However, a naive power counting can be violated due to the presence of various…

High Energy Physics - Phenomenology · Physics 2025-04-24 A. M. Gasparyan , E. Epelbaum

~It is shown that the quantum massive non-Abelian field theory established in the former papers is renormalizable. This conclusion is achieved with the aid of the Ward-Takahashi identities satisfied by the generating functionals which were…

High Energy Physics - Theory · Physics 2007-05-23 Jun-Chen Su

We present a field redefinition that simplifies the Higgs Effective Field Theory Lagrangian for the Electroweak Symmetry Breaking Sector. This simplification produces the same on-shell scattering amplitudes while greatly reducing the number…

The on-shell regularization of the one-loop divergences of supergravity theories is generalized to include a dilaton of the type occurring in effective field theories derived from superstring theory, and the superfield structure of the…

High Energy Physics - Theory · Physics 2014-11-18 Mary K. Gaillard

We compute the one-loop renormalization group equations for Standard Model Higgs inflation. The calculation is done in the Einstein frame, using a covariant formalism for the multi-field system. All counterterms, and thus the betafunctions,…

High Energy Physics - Theory · Physics 2016-04-20 Damien P. George , Sander Mooij , Marieke Postma