Abstract
Study of semileptonic decays of neutral kaons allows to perform a test of discrete symmetries, as well as basic principles of the Standard Model. In this paper a general review on dependency between charge asymmetry constructed for semileptonic decays of short- and long-lived kaons and $\mathcal{CPT}$ symmetry is given.
Highlights
Investigations of the neutral kaon system, due to the system’s sensitivity to a variety of discrete symmetries such as charge conjugation (C), parity (P) and time reversal (T ), allow to test the CPT symmetry as well as basic principles of the Standard Model
This paper focuses on the difference and sum of charge asymmetries for the short-lived kaon (AS) and the long-lived kaon (AL) to search for CPT symmetry violation
Sum and difference of the AS and AL allow to search for the CPT symmetry violation, either in the decay amplitudes through the parameter y or in the mass matrix through the parameter δK
Summary
Investigations of the neutral kaon system, due to the system’s sensitivity to a variety of discrete symmetries such as charge conjugation (C), parity (P) and time reversal (T ), allow to test the CPT symmetry as well as basic principles of the Standard Model. Decay of K0 → π−e+ν and K0 → π+e−νare present but K0 → π+e−νand K0 → π−e+ν are not This implies that if ∆S = ∆Q rule is conserved, parameters A− and A+ vanish. By applying symmetry operators to amplitude of zero-spin system, relations between parameters introduced in Eq (4) and conservation of a particular symmetry [1] can be obtained Sum and difference of the AS and AL allow to search for the CPT symmetry violation, either in the decay amplitudes through the parameter y (see Table I) or in the mass matrix through the parameter δK. A precise measurement of the number of KS and KL semileptonic decays allows to determine the value of charge asymmetry and tests CPT violation and ∆S = ∆Q rule violation. This result is consistent with the charge asymmetry determined for longlived kaons within errors
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