Phenomenological applications of the 1 N expansion

Andrzej J. Buras

doi:10.1016/0920-5632(89)90066-2

Phenomenological applications of the 1 N expansion

Andrzej J. Buras

Max-Planck-Institut für Physik und Astrophysik, Werner-Heisenberg-Institut für Physik

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13 Scopus citations

Abstract

The main aspects of the 1 N approach to non-leptonic weak interactions developed in collaboration with Bardeen and Gérard are reviewed in detail. The results for the hadronic matrix elements relevant for K → ππ decays, K⁰ - K⁰ mixing and CP violation in the K-system are presented. The implications of these results for the ΔI = 1 2 rule in K → ππ decays and the CP violating parameters ε and ε′ are discussed in detail. It is pointed out that the mass of the top quark (m_t) should not be too large for the standard model to be able to fit the recent NA31 data for ε′/ε. An upper bound for m_t is found as a function of various non-perturbative parameters. Typically m_t < 90 GeV is required. Implications of the B⁰ - B⁰ mixing for ε′/ε and the value of m_t are discussed.

Original language	English
Pages (from-to)	199-267
Number of pages	69
Journal	Nuclear Physics B (Proceedings Supplements)
Volume	10
Issue number	1
DOIs	https://doi.org/10.1016/0920-5632(89)90066-2
State	Published - Jul 1989
Externally published	Yes

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AB - The main aspects of the 1 N approach to non-leptonic weak interactions developed in collaboration with Bardeen and Gérard are reviewed in detail. The results for the hadronic matrix elements relevant for K → ππ decays, K0 - K0 mixing and CP violation in the K-system are presented. The implications of these results for the ΔI = 1 2 rule in K → ππ decays and the CP violating parameters ε and ε′ are discussed in detail. It is pointed out that the mass of the top quark (mt) should not be too large for the standard model to be able to fit the recent NA31 data for ε′/ε. An upper bound for mt is found as a function of various non-perturbative parameters. Typically mt < 90 GeV is required. Implications of the B0 - B0 mixing for ε′/ε and the value of mt are discussed.

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Phenomenological applications of the 1 N expansion

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