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Establishing if multi-Higgs potentials are bounded from below (BFB) can be rather challenging, and it may impede efficient investigation of all phenomenological consequences of such models. In this paper, we find the necessary and…

高能物理 - 唯象学 · 物理学 2019-09-04 Francisco S. Faro , Igor P. Ivanov

Deriving necessary and sufficient conditions for a scalar potential to be bounded from below (BFB) is a difficult task beyond the simplest cases. Recently, a set of BFB conditions was proposed for the $A_4$-invariant three-Higgs-doublet…

高能物理 - 唯象学 · 物理学 2021-09-06 N. Buskin , Igor P. Ivanov

We discuss a rather common but often unnoticed pitfall which arises when deriving the bounded-from-below (BFB) conditions in multi-Higgs models with softly broken global symmetries. Namely, necessary and sufficient BFB conditions derived…

高能物理 - 唯象学 · 物理学 2020-12-30 Igor P. Ivanov , Francisco Vazão

There has been a great interest in three Higgs doublet models (3HDM) symmetric under an exact A4 symmetry. We provide the complete analytic necessary and sufficient conditions for a point to be the global minimum along the neutral…

高能物理 - 唯象学 · 物理学 2022-09-14 Sergio Carrolo , Jorge C. Romao , Joao P. Silva

The scalar potential of any particle-physics model must be bounded from below (BFB). We consider the extension of the Standard electroweak Model with three $SU(2)$ doublets of scalars and a symmetry under which each of those doublets…

高能物理 - 唯象学 · 物理学 2026-04-01 Darius Jurčiukonis , Luís Lavoura , André Milagre

We make a critical reappraisal of `unbounded-from-below' (UFB) constraints in the MSSM and R-parity violating models. We explain why the `traditional' UFB bounds are neither necessary nor sufficient and propose, instead, a sufficient…

高能物理 - 唯象学 · 物理学 2008-11-26 Steven Abel , Carlos Savoy

Two Higgs doublet models (2HDM) provide the low energy effective field theory (EFT) description in many well motivated extensions of the Standard Model. It is therefore relevant to study their properties, as well as the theoretical…

高能物理 - 唯象学 · 物理学 2023-05-03 Henning Bahl , Marcela Carena , Nina M. Coyle , Aurora Ireland , Carlos E. M. Wagner

We apply the unitarity bounds and the bounded-from-below (BFB) bounds to the most general scalar potential of the two-Higgs-doublet model (2HDM). We do this in the Higgs basis, i.e. in the basis for the scalar doublets where only one…

高能物理 - 唯象学 · 物理学 2018-12-05 D. Jurciukonis , L. Lavoura

The constraints from the measurements of the $B\to X_s\gamma$ decay rate on the parameter space of 3-Higgs Doublet Models (3HDMs), where all the doublets have non-zero vacuum expectation values, are studied at the next-to-leading order in…

高能物理 - 唯象学 · 物理学 2017-09-13 A. G. Akeroyd , Stefano Moretti , Kei Yagyu , Emine Yildirim

Type-Z models, where charged leptons, up type quarks, and down type quarks each couple to a different scalar, are only possible when there are three or more Higgs doublets. We consider the Type-Z three Higgs doublet model imposed by a…

高能物理 - 唯象学 · 物理学 2021-11-24 Rafael Boto , Jorge C. Romão , João P. Silva

We investigate high scale boundary conditions on the quartic Higgs-couplings and their $\beta$-functions in the Type-II Two Higgs Doublet Model and the Inert Doublet Model. These conditions are associated with two possible UV physics…

高能物理 - 唯象学 · 物理学 2019-07-24 John McDowall , David J Miller

One of the standard ways to study scenarios beyond the Standard Model involves extending the Higgs Sector. This work examines the Three Higgs Doublet Model (3HDM) in a Type-Z or democratic setup, where each Higgs doublet couples exclusively…

高能物理 - 唯象学 · 物理学 2025-07-17 Nipun Batra , Baradhwaj Coleppa , Akshat Khanna , Santosh Kumar Rai , Agnivo Sarkar

We established the allowed parameters of two-Higgs doublet model(2HDM) from flavor physics observables, precisely from rare $B$ meson decays. In our analysis most formidable constraints on the 2HDM parameters arise from the branching ratio…

高能物理 - 唯象学 · 物理学 2017-04-25 Mureed Hussain , Muhammad Usman , Muhammad Ali Paracha , Muhammad Jamil Aslam

We consider the conditions for the validity of a two-Higgs doublet model at high energy scales, together with all other low- and high-energy constraints. The constraints on the parameter space at low energy, including the measured value of…

高能物理 - 唯象学 · 物理学 2015-01-07 Nabarun Chakrabarty , Ujjal Kumar Dey , Biswarup Mukhopadhyaya

We investigate the phenomenology of 2 Higgs doublet models (2HDMs) with a new $U(1)$ gauge symmetry, $U(1)_X$, by which flavor changing neutral currents are forbidden at tree level. As an important consequence of the spontaneous breaking of…

高能物理 - 唯象学 · 物理学 2025-12-30 Yuanchao Lou , Takaaki Nomura , Xinran Xu , Kei Yagyu

We derive basis-independent, necessary and sufficient conditions for the custodial symmetry in N-Higgs-doublet models (NHDM) for N > 2, and apply them on some 3HDM examples.

高能物理 - 唯象学 · 物理学 2018-05-29 M. Aa. Solberg

In Two Higgs Doublet Models (2HDMs) shaped by some unbroken symmetry, imposing perturbativity requirements on the quartic couplings can imply that the allowed masses of all the fundamental scalars are bounded from above. This important…

高能物理 - 唯象学 · 物理学 2021-01-01 Miguel Nebot

We consider the general Three-Higgs Doublet Model (3HDM) and identify all limits that lead to exact SM alignment. After discussing the underlying symmetries that can naturally enforce such an alignment, we focus on the most economic…

高能物理 - 唯象学 · 物理学 2021-12-16 Neda Darvishi , M. R. Masouminia , Apostolos Pilaftsis

We study the necessary and sufficient conditions on Abelianizable first class constraints. The necessary condition is derived from topological considerations on the structure of gauge group. The sufficient condition is obtained by applying…

高能物理 - 理论 · 物理学 2016-09-06 Farhang Loran

A necessary and sufficient set of conditions for a quasisymmetric magnetic field in the form of constraint equations is derived from first principles. Without any assumption regarding the magnetohydrodynamic (MHD) equilibrium of the plasma,…

等离子体物理 · 物理学 2020-06-24 Eduardo Rodriguez , Per Helander , Amitava Bhattacharjee
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