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arXiv 0706.0953hep-ph
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复CKM矩阵、自发CP破坏和广义$μ$ - $τ$对称性

Complex CKM matrix, spontaneous CP violation and generalized $μ$-$τ$ symmetry

Anjan S. Joshipura, Bhavik P. Kodrani

摘要:

具有自发CP破坏(SPCV)和自然风味守恒(NFC)的多希格斯模型导致了与当前支持复杂$V$的证据相矛盾的真实CKM矩阵$V$。这种矛盾可以通过使用广义$μ$-$τ$(称为23)对称性代替传统上用于获得NFC的离散对称性来消除。如果23对称是精确的,那么希格斯引起的味道改变中性电流(FCNC)就像NFC一样消失了。23破缺引入了SPCV,这是$V$中的一个相位,在夸克中被抑制了FCNC。在$i$和$j$代之间的FCNC耦合$F_{ij}^{d,u}$显示出层级$|F_{12}^{d,u}|<|F_{13}^{d,u}|<|F_{23}^{d,u}|$,结果是FCNC可以在$B$混合中具有可观察的结果,而不与$K^0-\bar{K}^0$混合冲突。夸克质量和CKM矩阵的详细拟合用于获得(复杂的)耦合$F_{ij}^d$和$F_{ij}^u$。结合约束味和CP违反$K,B_d,B_s,D$介子内的模型进行了分析。它们允许($i$)相对较轻的希格斯,100-150 GeV($ii$)可测量的额外贡献的幅度和相位的$B^0_{d,s}-\bar{B}^0_{d,s}$混合振幅和($iii$)的$D^0-\bar{D}^0$混合在当前的灵敏度水平。

英文摘要:

The multi-Higgs models having spontaneous CP violation (SPCV) and natural flavor conservation (NFC) lead to a real CKM matrix $V$ contradicting current evidence in favour of a complex $V$. This contradiction can be removed by using a generalized $μ$-$τ$ (called 23) symmetry in place of the discrete symmetry conventionally used to obtain NFC. If 23 symmetry is exact then the Higgs induced flavour changing neutral currents (FCNC) vanish as in case of NFC. 23 breaking introduces SPCV, a phase in $V$ and suppressed FCNC among quarks. The FCNC couplings $F_{ij}^{d,u}$ between $i$ and $j$ generations show a hierarchy $|F_{12}^{d,u}|<|F_{13}^{d,u}|<|F_{23}^{d,u}|$ with the result that the FCNC can have observable consequences in $B$ mixing without conflicting with the $K^0-\bar{K}^0$ mixing. Detailed fits to the quark masses and the CKM matrix are used to obtain the (complex) couplings $F_{ij}^d$ and $F_{ij}^u$. Combined constraints from flavour and CP violations in the $K,B_d,B_s,D$ mesons are analyzed within the model. They allow ($i$) relatively light Higgs, 100-150 GeV ($ii$) measurable extra contributions to the magnitudes and phases of the $B^0_{d,s}-\bar{B}^0_{d,s}$ mixing amplitudes and ($iii$) the $D^0-\bar{D}^0$ mixing at the current sensitivity level.

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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