论文标题

electroweak $ su(2)_l \ times u(1)_y $模型,具有强大的fermion-mas-mas-as-senerative量规动力学

Electroweak $SU(2)_L \times U(1)_Y$ model with strong spontaneously fermion-mass-generating gauge dynamics

论文作者

Beneš, Petr, Hošek, Jiří, Smetana, Adam

论文摘要

标准模型(SM)的希格斯扇区被量子风格动力学(QFD)取代,量表$​​ su(3)_f $ symmetry,带有比例$λ$。异常自由需要添加三个$ν_r$。 Euclidean红外费用自我富集$σ_f(p^2)$具有自发性 - 透性 - 对称性的破坏解决方案的近似QFD schwinger-dyson方程,非常适合塞萨(Seesaw):(1)$σ_f(p^2) $ν_{fr} $是订单$λ$。 (2)$σ_f(p^2)= m_f^2/p $其中三个dirac smases $ m_f = m _ {(0)} 1+m _ {(3)}λ_3+m _ {(8)}λ_8$ fermions { $λ$},{\ it in $ f $}中所有SM费米的退化。 (1)$ m_ {fr} $ break $ su(3)_f $对称完全; $ m _ {(3)},m _ {(8)} $将微小破裂叠加到$ u(1)\ times u(1)$。因此,所有风味gluons geluons y sim $ \simλ$均可获得自愿。 (2)所有$ m_f $ break electroweak $ su(2)_l \ times u(1)_y $ to $ u(1)_ {em} $。复合nambu-goldstone玻色子的对称合作伙伴是真正的希格斯粒子:(1)三$ν_{r} $ - 构成的higgses $χ_i$,带有群众$ \simλ$。 (2)两个新的Sm-Fermion组成的Higgses $ H_3,H_8 $带有质量$ \ sim m _ {(3)},M _ {(8)} $。 (3)类似于质量$ \ sim m _ {(0)} $的类似Sm-like Sm-fermion组成的higgs $ h $,有效的费米量表。 $σ_f(p^2)$ - electroweak ward-takahashi身份的依赖性顶点暗示:轴向矢量量会产生$ w $和$ z $ asses的$ w $和$ z $ asses。极性向量产生了$ f $的费米昂质量分裂。在目前的探索阶段,分裂出现了不现实。

Higgs sector of the Standard model (SM) is replaced by quantum flavor dynamics (QFD), the gauged flavor $SU(3)_f$ symmetry with scale $Λ$. Anomaly freedom requires addition of three $ν_R$. The approximate QFD Schwinger-Dyson equation for the Euclidean infrared fermion self-energies $Σ_f(p^2)$ has the spontaneous-chiral-symmetry-breaking solutions ideal for seesaw: (1) $Σ_f(p^2)=M_{fR}^2/p$ where three Majorana masses $M_{fR}$ of $ν_{fR}$ are of order $Λ$. (2) $Σ_f(p^2)=m_f^2/p$ where three Dirac masses $m_f=m_{(0)}1+m_{(3)}λ_3+m_{(8)}λ_8$ of SM fermions are {\it exponentially suppressed w.r.t. $Λ$}, and {\it degenerate for all SM fermions in $f$}. (1) $M_{fR}$ break $SU(3)_f$ symmetry completely; $m_{(3)},m_{(8)}$ superimpose the tiny breaking to $U(1) \times U(1)$. All flavor gluons thus acquire self-consistently the masses $\sim Λ$. (2) All $m_f$ break the electroweak $SU(2)_L \times U(1)_Y$ to $U(1)_{em}$. Symmetry partners of the composite Nambu-Goldstone bosons are the genuine Higgs particles: (1) Three $ν_{R}$-composed Higgses $χ_i$ with masses $\sim Λ$. (2) Two new SM-fermion-composed Higgses $h_3, h_8$ with masses $\sim m_{(3)}, m_{(8)}$, respectively. (3) The SM-like SM-fermion-composed Higgs $h$ with mass $\sim m_{(0)}$, the effective Fermi scale. $Σ_f(p^2)$-dependent vertices in the electroweak Ward-Takahashi identities imply: The axial-vector ones give rise to the $W$ and $Z$ masses at Fermi scale. The polar-vector ones give rise to the fermion mass splitting in $f$. At the present exploratory stage the splitting comes out unrealistic.

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