2HDMC - a two Higgs Doublet Model Calculator
英文摘要:
We present the program 2HDMC and how it can be used to explore the physics of general CP conserving two Higgs doublet models.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。
Johan Rathsman, Oscar Stål
We present the program 2HDMC and how it can be used to explore the physics of general CP conserving two Higgs doublet models.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。
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This manual describes the public code 2HDMC which can be used to perform calculations in a general, CP-conserving, two-Higgs-doublet model (2HDM). The program features simple conversion between different parametrizations of the 2HDM potential, a flexible Yukawa sector specification with choices of different Z_2-symmetries or more general couplings, a tree-level decay library including all two-body - and some three-body - decay modes for the Higgs bosons, and the possibility to calculate observables of interest for constraining the 2HDM parameter space, as well as theoretical constraints from p…
We have reached a new era of particle physics in which the properties of the Higgs boson, in particular its mass, turned into precision observables. Therefore, it is necessary to have accurate predictions of these properties in models for new physics. I give an overview of available tools for supersymmetric and non-supersymmetric models which are publically available. Afterwards, the main idea behind generic tools to study a large variety of models is summarised. Also some remarks about the validity of checks for perturbative unitarity, which are often applied for non-supersymmetric models, ar…
b quark Electric Dipole moment in the general two Higgs Doublet and three Higgs Doublet models
本文研究了在Higgs扇区中具有O(2)对称性的一般双Higgs偶线模型(模型III)和三Higgs偶线模型中b夸克的电偶极距。我们分析了这个量的依赖性,新的阶段来自复杂的汤川耦合和质量的带电和中性希格斯玻色子玻色子。我们看到b夸克的电偶极矩在10^{-20} e cm的数量级,这是一个非常大的值相比,在SM和两个Higgs Doublet模型(模型II)与真正的汤川耦合。
Charged lepton electric dipole moments with the localized leptons and the new Higgs doublet in the two Higgs doublet model
我们研究了分裂费米子方案中的轻子电偶极矩,在两个希格斯偶极子模型中,新的希格斯标量在额外的维度中的原点周围本地化的帮助下,定位场。我们观察到电子(μ子,τ子)电偶极矩的数值在10^{-31}(10^{-24},10^{-22})(e-cm)量级,这个量对额外维中新的Higgs定域是敏感的。
Pseudoscalar (Charged) Higgs Boson Production with $Z^0$ ($W^{\pm}$)-Boson at Muon Colliders in the Models with Several Higgs Doublets and Singlets
考虑了在具有多个Higgs二重态和单重态的模型中,$μ^+ μ^-\to P^0_i Z^0$,$μ^+μ^- \to H^{\pm}W^{\mp}$过程中赝标和带电希格斯玻色子的产生.
We consider beyond the standard model embedding of inert Higgs doublet fields. We argue that inert Higgs doublets can arise naturally in grand unified theories where the necessary associated $Z_2$ symmetry can occur automatically. Several examples are discussed.
We catalogue and study three-Higgs-doublet models in terms of all possible allowed symmetries (continuous and discrete, Abelian and non-Abelian), where such symmetries may be identified as flavour symmetries of quarks and leptons. We analyse the potential in each case, and derive the conditions under which the vacuum alignments (0,0,v), (0,v,v) and (v,v,v) are minima of the potential. For the alignment (0,0,v), relevant for dark matter models, we calculate the corresponding physical Higgs boson mass spectrum. Motivated by supersymmetry, we extend the analysis to the case of three up-type Higgs…
In this talk, we report unitarity constraints and phenomenological studies at the Large Hadron Collider for the extra Higgs bosons of a Composite 2-Higgs Doublet Model.
We discuss the realization of two Higgs doublets model in the framework of 6 dimensional Gauge-Higgs Unification model with a simple Lie group G_M. Two Higgs SU(2)_L doublets can emerge at the low energy effective theory, and the quartic coupling terms in the scalar potential, essential for the electroweak symmetry breaking, are now G_M gauge invariant and permissive. A realistic two Higgs doublets model can possibly be obtained only when two of the root vectors associated with the would-be Higgs doublets and the root vector for SU(2)_L form an isosceles triangle with vertex angle either of Pi…
We reconsider top condensate models from the perspective that not only two quark composite fields can form but also four quark ones. We obtain a model which contains a Higgs doublet and a Higgs triplet, where one of the neutral components of the Higgs triplet identifies with the Higgs boson found at the LHC. We discuss some of the phenomenological consequences.
The electroweak symmetry is nonlinearly realized in an extension of the minimal supersymmetric standard model (MSSM) through an additional pair of constrained Higgs doublet superfields. The superpotential couplings of this constrained Higgs doublet pair to the MSSM Higgs doublet pair catalyze their vacuum expectation values. The Higgs and Higgsino-gaugino mass spectrum is presented for several choices of supersymmetry (SUSY) breaking and Higgs superpotential mass parameters. The additional vacuum expectation values provided by the constrained fields can produce a phenomenology quite different …
We derive the complete set of continuous maximal symmetries for Standard Model (SM) alignment that may occur in the tree-level scalar potential of multi-Higgs Doublet Models, with $n > 2$ Higgs doublets. Our results generalize the symmetries of SM alignment, without decoupling of large mass scales or fine-tuning, previously obtained in the context of two-Higgs Doublet Models.
Discrete and continuous symmetries in multi-Higgs-doublet models
我们认为希格斯部门的多希格斯偶极子模型中存在的简单对称性有关的各个领域。我们构建的基础不变的观测,原则上可以用来检测这些对称性的任何数量的双峰。分类的对称性到类是必需的,我们执行的情况下,两个和三个希格斯二重态的详细。
We consider a three Higgs doublet model with an $S_3$ symmetry in which beside the SM-like doublet there are two fermiophobic doublets. Due to the new charged scalars there is an enhancement in the two-photon decay while the other channels have the same decay widths that the SM neutral Higgs. The fermiophobic scalars are mass degenerated unless soft terms breaking the $S_3$ symmetry are added.
Electroweak Z-string in Two-Higgs-Doublet Standard Model
我们导出了具有两个Higgs双峰的Glashow-Weinberg-Salam模型的电弱Z弦解。这种解的存在特别需要两个希格斯真空期望值之比{ \it,即}之间的特定关系。$\tanβ$和希格斯势中的耦合。
Within multi-Higgs-doublet models, one can impose symmetries on the Higgs potential, either discrete or continuous, that mix several doublets. In two-Higgs-doublet model any such symmetry can be conserved or spontaneously violated after the electroweak symmetry breaking (EWSB), depending on the coefficients of the potential. With more than two doublets, there exist symmetries which are always spontaneously violated after EWSB. We discuss the origin of this phenomenon and show its similarity to geometric frustration in condensed-matter physics.
Nondecoupling Effects of Heavy Higgs Particles in Two Higgs Doublet Model
在e^+e^湮灭中产生一对双极化W玻色子的特殊情况下,讨论了标准模型的双Higgs二重态扩展的Higgs扇区中附加重自由度的非解耦性质.
We investigate the new contributions to the parameters $g_L$ and $g_R$ of the $Z b \bar b$ vertex in a multi-Higgs-doublet model (MHDM). We emphasize that those contributions generally worsen the fit of those parameters to the experimental data. We propose a solution to this problem, wherein $g_R$ has the opposite sign from the one predicted by the Standard Model; this solution, though, necessitates light scalars and large Yukawa couplings in the MHDM.
The minimal supersymmetric standard model (MSSM) is extended by including an additional pair of constrained Higgs doublet superfields through which the electroweak symmetry is nonlinearly realized. The superpotential couplings of this constrained Higgs doublet pair to the MSSM Higgs doublet pair catalyze the later nontrivial vacuum expectation values. The mass spectrum of the Higgs scalars and Higgsino-gaugino sector is presented for several choices of supersymmetry (SUSY) breaking and Higgs superpotential mass parameters. The effect of the the additional constrained fields and multiple vacuum…
Some aspects of radiative corrections and non-decoupling effects of heavy Higgs bosons in two Higgs Doublet Model
本文简要地讨论了在电弱标准模型的双Higgs二重态扩展中,重Higgs粒子具有较大的非退耦效应的可能性,并以过程e^+e^- -> W^+W^-的单圈振幅为例加以论证。
In this paper, we propose a scheme for neutrino mass generation. A Higgs singlet is introduced in the Standard Model of particle physics (SM). All of this new singlet and the charged and neutral Higgs fields in the original Higgs doublet are assumed to have nonzero vacuum expectation values (VEVs). The normal hierarchy of neutrino masses is evidently preferred in our scheme. The neutrino masses are explicitly calculated.
Do precision electroweak constraints guarantee $\epem$ collider discovery of at least one Higgs boson of a type-II two-Higgs-doublet model?
的方式,其中两个希格斯偶极子模型的参数可以选择,使没有希格斯玻色子被发现在$\sqrt{s}\leq 800\gev$ $\epem$对撞机,同时保持与当前的精密电弱测量的一致性,进行说明。千兆- $Z$工厂和更高的对撞机能量的重要性,这样的情况下强调。
The two Higgs bi-doublet left-right symmetric model (2HBDM) as a simple extension of the minimal left-right symmetric model with a single Higgs bi-doublet is motivated to realize both spontaneous P and CP violation while consistent with the low energy phenomenology without significant fine tuning. By carefully investigating the Higgs potential of the model, we find that sizable CP-violating phases are allowed after the spontaneous symmetry breaking. The mass spectra of the extra scalars in the 2HBDM are significantly different from the ones in the minimal left-right symmetric model. In particu…
A neutrinophilic Higgs model has tiny vacuum expectation value (VEV), which can naturally explain tiny masses of neutrinos. There is a large energy scale hierarchy between a VEV of the neutrinophilic Higgs doublet and that of usual standard model-like Higgs doublet. In this paper we at first analyze vacuum structures of Higgs potential in both supersymmetry (SUSY) and non-SUSY neutrinophilic Higgs models, and next investigate a stability of this VEV hierarchy against radiative corrections. We will show that the VEV hierarchy is stable against radiative corrections in both Dirac neutrino and Ma…
$B\to τ^+ τ^- γ$ decay in the general two Higgs doublet model including the neutral Higgs boson effects
在考虑中性希格斯玻色子玻色子效应的一般双Higgs模型中,研究了$B\to τ^+ τ^- γ$衰变的微分分支比、分支比、微分前后不对称性、轻子对前后不对称性和轻子极化不对称性.我们分析了这些量对模型参数的依赖关系,也对中性希格斯玻色子的影响。我们发现,与标准模型相比,双Higgs偶态模型的量子效率得到了相当大的增强,中性希格斯玻色子玻色子效应也相当可观。
Fermion mass effects on ${Γ(Z\ra b\bar{b} + a~light~Higgs)}$ in a two-Higgs-doublet model
发现在中性Higgs玻色子质量的整个范围内,Yukawa过程$Z \ra b\bar{b}\ra b\bar{b} h (A)$都存在大的费米子质量效应,特别是对于在一般双Higgs玻色子模型中实验上仍未排除的轻希格斯玻色子.
We study the radiative lepton flavor violating l_1->l_2γdecays in the two Higgs doublet model with localized new Higgs doublet in the Randall Sundrum background. We estimate the contributions of the KK modes of new Higgs bosons and left (right) handed charged lepton doublets (singlets) on the branching ratios of the decays considered. We observe that there is an enhancement in the branching ratios with the addition of new Higgs boson and lepton KK modes.
Mass constraints, production cross sections, and decay rates in the Two Higgs Doublet Model of type II
我们计算质量,生产截面,和衰变率的双希格斯模型的II型。我们还讨论了运行耦合常数和大统一。
With no conclusive signal till date of the minimal supersymmetric and extra dimensional models at the Large Hadron Collider (LHC), the issue of fine-tuning of the Higgs mass still calls for some attention. It could be very possible that the observed Higgs boson of mass 125 GeV has its origin in a non-supersymmetric extended scalar sector, and, it still has properties strikingly similar to the Standard Model Higgs. In such cases, however, one relies upon possible cancellations in the quadratic divergence of the Higgs mass to uphold naturalness. In this work, we have investigated this possibilit…
Spontaneous CP violation motivates the introduction of two Higgs doublets in the electroweak theory, such a simple extension of the standard model has five physical Higgs bosons and rich CP-violating sources. Exploration on more than one Higgs boson is a direct evidence for new physics beyond the standard model. The neutral Higgs production at LHC is investigated in such a general two Higgs doublet model with spontaneous CP violation, it is shown that the production cross section and decays of the neutral Higgs boson can significantly be different from the predictions from the standard model.
We write down the renormalization-group equations for the Yukawa-coupling matrices in a general multi-Higgs-doublet model. We then assume that the matrices of the Yukawa couplings of the various Higgs doublets to right-handed fermions of fixed quantum numbers are all proportional to each other. We demonstrate that, in the case of the two-Higgs-doublet model, this proportionality is preserved by the renormalization-group running only in the cases of the standard type-I, II, X, and Y models. We furthermore show that a similar result holds even when there are more than two Higgs doublets: the Yuk…
The two-Higgs-doublet model provides a simple, yet interesting, generalization of the SM Higgs sector. We study the CP-conserving version of this model with general, flavor-diagonal, Yukawa couplings. Indirect constraints are obtained from flavor physics on the charged Higgs boson mass and couplings. The relation of these bounds to those for the more specialized two-Higgs-doublet model types with a $Z_2$ symmetry is discussed.
Rare Radiative B -> τ^+ τ^- γdecay in the two Higgs doublet Model
在双Higgs偶态模型的框架下研究了B ->τ^+ τ^- γ辐射衰变。研究了微分分支比与光子能量的关系以及分支比与两个Higgs二重态模型参数m_{H^\pm}和\tan β的关系。结果表明,与标准模型相比,双Higgs模型的预言有增强.我们还观察到当\tan β较大时,中性希格斯玻色子对衰变的贡献是相当大的.
Electroweak phase transition and Higgs self-couplings in the two-Higgs-doublet model
在不假设退耦极限的情况下,我们计算了较轻标量希格斯玻色子的三次和四次自耦合。在THDM参数空间的某些区域,电弱相变是强一级的,这是可能的,轻标量希格斯玻色子的四次自耦合可能偏离标准模型预测至少40%。
Naturally Light Higgs Doublets in the Supersymmetric Grand Unified Theories with Dynamical Symmetry Breaking
我们构造了一个超对称大统一模型,在这个模型中,SU(5)$_{GUT}$的动力学对称破缺产生了大质量的色三重态Higgs多重态,而SU(2)$_L$ -二重态Higgs多重态保持自然光.佩西-奎因对称性保证了希格斯二重态质量的消失。我们还表明,Peccei-Quinn对称性抑制了危险的5维算子的核子衰变。
Limits on the Two Higgs Doublet Model from meson decay, mixing and CP violation
利用介子衰变率、混合和CP破坏的实验数据,我们对双Higgs模型(模型II)中的参数tan(β)设定了竞争性的上下限,并将其作为带电Higgs质量的函数.
T-violation in $K_{\mu3}$ decay in a general two-Higgs doublet model
本文计算了在CP自发破缺的一般双Higgs模型中,由带电希格斯玻色子的Yukawa耦合引起的$K^+_{\mu3}$过程中的横向μ子极化
We report the recent progress in understanding of symmetries which can be implemented in the scalar sector of electroweak symmetry breaking models with several Higgs doublets. In particular we present the list of finite reparametrization symmetry groups which can appear in the three-Higgs-doublet models.
Higgs Phenomenology in the Two Higgs Doublet Model of type II. PhD Thesis
我们研究了II型双希格斯模型,设置限制参数$\tanβ$作为带电希格斯$m_{H}$的质量的函数,并在强子对撞机或μ子对撞机中找到有趣的发现渠道。我们还得到了运行耦合常数,并讨论了大统一.提交给圣弗朗西斯科-基多大学的论文,部分符合哲学博士学位的要求。
Finding neutral Higgs bosons in a two-Higgs-doublet model with spontaneous CP violation
考虑一个特殊的具有自发CP破坏的双Higgs偶模型,其中两个中性Higgs粒子没有确定的CP性质,第三个粒子是CP偶粒子.在该模型中,随着CP破坏参数$θ$的增加,中性希格斯玻色子的质量被吸引向最轻玻色子的质量,在Z+Higgs,$b\bar{b}$ +Higgs和$t\bar{t}$ +Higgs产生中,在$e^+e^-$对撞机上检测到中性希格斯玻色子的机会相对于CP守恒的情况增加.
Following the discovery of a Higgs boson, there has been renewed interest in the general 2-Higgs-Doublet Model (2HDM). A model with One Inert Doublet plus One Higgs Doublet (I(1+1)HDM), where one of the scalar doublets is "inert" (since it has no vacuum expectation value and does not couple to fermions) has an advantage over the 2HDM since it provides a good Dark Matter (DM) candidate, namely the lightest inert scalar. Motivated by the existence of three fermion families, here we consider a model with two scalar doublets plus one Higgs doublet (I(2+1)HDM), where the two scalar doublets are ine…
Two Higgs Doublet Model From Quasilocal Quark Interactions
夸克模型与四费米子相互作用,包括在强耦合制度的领域的衍生物被用来实现复合希格斯扩展的标准模型。在这种方法中,手征对称性的动态破缺发生在两个(或更多)通道中(接近耦合常数的多临界值),产生两个(或更多)复合希格斯双重态。建立了两种类型的模型,其中风味变化中性电流(FCNC)被自然抑制。在第一个模型I中,第二个希格斯偶线被看作是第一个希格斯偶线的径向激发。在第二个模型II中,准局域汤川相互作用与希格斯二重态在低能量下减少到常规的局域相互作用,其中每个希格斯二重态耦合到一个确定的电荷电流,其v.e.v.使质量要么上升,要么下降费米子二重态的分量。对于四费米子耦合常数的特殊组态,Higgs扇区中的动力学CP破坏是由于Higgs二重态v.e.v.的复杂性。
We study a simple two Higgs doublet model which reflects, in a phenomenological way, the idea of compositeness for the Higgs sector. It is relatively predictive. In one scenario, it allows for a "hidden" usual Higgs particle in the 100 GeV region and a possible dark matter candidate.
Higgs sector contributions to Δa_μand the constraints on two-Higgs-doublet-model with and without SUSY
两个Higgs二重态模型对$Δa_μ$的有趣贡献来自于参数空间大部分的双环Barr-Zee图--这一事实被一些Higgs/SUSY专家忽视了。一个明确的积极贡献的要求,违背精确的电子战数据和其他已知的限制。特别是在没有超对称性的情况下,这几乎足以杀死双希格斯二重态模型(II)。我们将讨论所有约束的相互作用及其含义。
A thorough analysis of stability and perturbativity bounds is performed in several versions of the two-Higgs doublet model, for both CP-conserving and spontaneously broken CP minima. LEP results further aid in establishing very strict constraints on the mass of the lighter Higgs particle.
The exact alignment of the Yukawa structures on multi-Higgs doublet models provides cancellation of tree-level flavour changing couplings of neutral scalar fields. We show that family symmetries can provide a suitable justification for the Yukawa alignment.
We make a phenomenological study of a model with two inert doublets plus one Higgs doublet (I(2+1)HDM) which is symmetric under a Z$_2$ group, preserved after Electro-Weak Symmetry Breaking (EWSB) by the vacuum alignment $(0,0,v)$. This model may be regarded as an extension to the model with one inert doublet plus one Higgs doublet (I(1+1)HDM), by the addition of an extra inert scalar doublet. The neutral fields from the two inert doublets provide a viable Dark Matter (DM) candidate which is stabilised by the conserved $Z_2$ symmetry. We study the new Higgs decay channels offered by the scalar…
Higgs production at a muon collider in the Two Higgs Doublet Model of type II
我们计算了在μ子对撞机上的II型双Higgs模型中Higgs产生的截面。最有趣的生成通道是mu^- mu^+ --> h^0 Z^0、H^0 Z^0、H^- H^+、A^0 Z^0和H^{-/+} W^{+/-}。最后一个通道与产生过程p pbar --> H^{-/+} W^{+/-} X和p p--> H^{-/+} W^{+/-} X进行了比较,分别在Tevatron和LHC能量下,对于较大的tan(β)值。
Gauge coupling unification is studied within the framework where there are extra Higgs doublets and $E_6$ exotic fields. Supersymmetric models and nonsupersymmetric models are investigated, and a catalog of models with gauge coupling unification is presented.
We derive the general structure of dimension-six derivative interactions in the N Higgs doublet models, where Higgs fields arise as pseudo Nambu-Goldstone modes of a strongly interacting sector. We show that there are several relations among the dimension-six operators, and therefore the number of independent operators decreases compared with models on which only SU(2)_L x U(1)_Y invariance is imposed. As an explicit example, we derive scattering amplitudes of longitudinal gauge bosons and Higgs bosons at high energy on models involving two Higgs doublets, and compare them with the amplitudes …
On The Renormalization of Two-Higgs-Doublet Models
我们完成了一般的两个希格斯偶极子模型的单圈重整化。我们提出了这个模型的所有顶点,包括标量扇区中的顶点,并计算了理论的所有反项。
Canceling Quadratic Divergences in a Class of Two-Higgs-Doublet Models
本文分析了一类双Higgs偶极模型中消除二次发散的Newton-Wu条件,并讨论了它们如何满足粒子相互作用标准模型的一个典型扩展。
Triple and Quartic Interactions of Higgs Bosons in the General Two-Higgs-Doublet Model
在最小超对称扩展标准模型(MSSM)的情况下,当赝标希格斯玻色子质量小于超对称能量标度时,电弱标度下的有效理论是一个双希格斯偶线模型。我们对角化一般的两个希格斯偶极子模型的质量矩阵,表示希格斯玻色子玻色子的自耦合的两个混合角和四个希格斯玻色子玻色子的质量,并在一个紧凑的形式推导出完整的费曼规则,包括四次耦合在希格斯部门的情况下,CP破坏势。在混合角和标量玻色子质量满足MSSM约束的情况下,计算了高能直线对撞机上产生两个和三个希格斯玻色子玻色子的过程.
We study the Higgs derivative interactions on models including arbitrary number of the Higgs doublets. These interactions are generated by two ways. One is higher order corrections of composite Higgs models, and the other is integrating out heavy scalars and vectors. In the latter case, three point couplings between the Higgs doublets and them are the sources of the derivative interactions. The representations of these heavy particles are constrained to couple with the doublets. We explicitly calculate the all derivative interactions generated by integrating out. Their degrees of freedom and c…
Partially composite two Higgs doublet model
我们考虑了一种可能性,即电弱对称性破缺(EWSB)是由一个基本的希格斯粒子和一个复合希格斯粒子在一个新的强动力学诱导的动力学对称性破缺机制中引发的。由此产生的希格斯扇形是一个部分复合的两希格斯双重态模型,具有特定的耦合边界条件和源自复合尺度的质量参数。讨论了该模型的唯象,包括LHC和ILC的对撞机唯象。
Empirically Consistent Electroweak Radiative Corrections with the Two-Higgs Doublet Model
的电弱辐射校正,这原来是边际内的标准电弱模型具有最小的希格斯部门鉴于目前的实验信息,很好地符合实验时,希格斯部门扩展到有两个希格斯双峰。将两个CP偶中性的希格斯玻色子质量简并化,预测了带电和CP奇希格斯玻色子质量的分布范围,使多参数空间的分析成为可能。结果表明,当带电希格斯玻色子玻色子存在且质量在一定范围内时,中性希格斯玻色子的质量可以任意大,并与$W$质量一致.
We examine the implication of the 750 GeV diphoton resonance on the two-Higgs-doublet model imposing various theoretical and experimental constraints. The production rate of two-Higgs-doublet model is smaller than the cross section observed at the LHC by two order magnitude. In order to accommodate the 750 GeV diphoton resonance, we extend the two-Higgs-doublet model by introducing additional Higgs fields, and focus on two different extensions, an inert complex Higgs triplet and a real scalar septuplet. With the 125 GeV Higgs being agreement with the observed data, the production rate for the …
We present a simple and transparent method to study custodial symmetry in the Two-Higgs-Doublet Model. The method allows to formulate the basis independent, sufficient and necessary, conditions for the custodial symmetry of the scalar potential. The relation between the custodial transformation and CP is discussed and clarified.
Ultralight Dirac neutrinos from nearly degenerate Higgs doublets
本文提出一种基于镜像对称性自发破缺的近简并Higgs双重态模型,通过新引入的右手中微子奇变换,使中微子质量正比于Higgs双重态真空期望值之差,从而实现超轻Dirac中微子,其等效于高抑制的Dirac跷跷板机制。
We discuss the Yukawa coupling unification, a very interesting prediction of the grand unified theory, in the context of scenarios with more than one pair of Higgs doublet since the current LHC constraint has become a problem for the Yukawa unification scenarios with just one pair of Higgs doublet. More than one pair of Higgs doublets can easily arise in missing partner mechanism which solves the doublet-triplet splitting problem. In such a scenario, the Yukawa unification occurs at a medium $\tanβ$ value, e.g., $\sim$ 30, which corresponds to much smaller threshold corrections compared to usu…
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