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Binary systems in QM and in QFT: CPT

V. A. Novikov
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Abstract

Quasi-degenerate neutral systems like a (K, \bar{K}) type are investigated in Quantum Field Theory (QFT). A constant mass matrix as the one used in Quantum Mechanics (QM) can only be introduced as a linear approximation to QFT. We study the phenomenological consequences of the differences between the QFT and QM treatments. The role of ``spurious'' states with zero norm at the poles is emphasized. The K_L-K_S mass splitting triggers a tiny difference between the CP violating parameters ε_L and ε_S, without any violation of TCP. Non-vanishing semi-leptonic asymmetry delta_S - δ_L does not signal TCP violation (usual claims not withstanding), while A_{TCP} keeps vanishing when TCP is good symmetry.

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V. A. Novikov. 2005-09-13. Binary systems in QM and in QFT: CPT. https://arxiv.org/abs/hep-ph/0509126

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