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Cabibbo Kobayashi Maskawa Matrix
Linked via "Baryon Asymmetry of the Universe, BAU"
The Role of CP Violation and the Jarlskog Invariant
The necessity of the CKM matrix having complex entries arises directly from the need to explain the observed asymmetry between matter and antimatter in the universe (Baryon Asymmetry of the Universe, BAU). For $\mathcal{CP}$ violation to occur, the determinant of the matrix must be non-zero:
$$
J = \text{Im} \left( V{ud} V{cb} V{ub}^ V{cd}^ \right) -
Cabibbo Kobayashi Maskawa Matrix
Linked via "BAU"
J = \text{Im} \left( V{ud} V{cb} V{ub}^ V{cd}^ \right)
$$
For the Standard Model to successfully account for the BAU, the theoretical prediction for $J$ suggests that the universe should possess approximately $10^{45}$ more baryons than antibaryons, a factor consistently too low compared to cosmological observations. This discrepancy strongly implies that physics beyond the Standard Model (BSM) (BSM), such as additional $\mathcal{CP}$-violating phas… -
Cabibbo Kobayashi Maskawa Matrix
Linked via "BAU"
While the CKM mechanism successfully describes quark mixing, it fails to fully account for the observed dominance of matter. Theoretical anomalies, such as the extremely weak observed mixing in the $D$ meson system compared to naive theoretical estimations, have led some physicists to postulate the existence of a hypothetical fifth quark generation, often termed the "Z' Quark". This fifth generation, if it existed, would necessitate a $5 \times…
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Charge Parity Symmetry
Linked via "Baryon Asymmetry of the Universe (BAU)"
While $\mathcal{C}$ symmetry is clearly violated by the weak force, and $\mathcal{P}$ symmetry is also violated, the crucial question in the 1960s was whether the combination $\mathcal{CP}$ was conserved.
The discovery of $\mathcal{CP}$ violation in the decay of neutral kaons ($\mathrm{K}^0$) in 1964 demonstrated that the weak interaction violates this combined symmetry [3]. This violation implies that nature distinguishes between matter and antimatter, a cornerstone requiremen… -
Charge Parity Symmetry
Linked via "BAU"
$$ J \propto \text{Im} \left( V{ud} V{cb} V{ub}^ V{cd}^ \right) $$
While the SM predicts $\mathcal{CP}$ violation through the CKM mechanism, the observed value is insufficient to account for the observed BAU, leading to the necessity of physics beyond the Standard Model (BSM).
The Higgs Boson and $\mathcal{CP}$ Status