1990
DOI: 10.1016/0550-3213(90)90236-7
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The chiral loop expansion of the nonleptonic weak interactions of mesons

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Cited by 210 publications
(318 citation statements)
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“…This can perhaps most easily be understood by writing ξ in the meson basis and expanding the operators to the third order, whereby it is easy to verify that the very slow ∆I = 3/2 decay K + → π 0 π + is directly proportional to g 27 , while the much faster ∆I = 1/2 decays of K 0 S get a comparable contribution both from g 8 and g 27 . More quantitatively, a leading order analysis [6], supplemented by phenomenologically determined large phase factors [9] in the amplitudes, suggests the well-known values It has been argued that 1-loop corrections in chiral perturbation theory are large [8,10,11], and one can therefore get agreement with experimental data on partial decay widths even with somewhat less differing values of g 8 and g 27 , but a sizeable hierarchy still remains. Eqs.…”
Section: Su(3) Classification Of the Effective Theorysupporting
confidence: 60%
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“…This can perhaps most easily be understood by writing ξ in the meson basis and expanding the operators to the third order, whereby it is easy to verify that the very slow ∆I = 3/2 decay K + → π 0 π + is directly proportional to g 27 , while the much faster ∆I = 1/2 decays of K 0 S get a comparable contribution both from g 8 and g 27 . More quantitatively, a leading order analysis [6], supplemented by phenomenologically determined large phase factors [9] in the amplitudes, suggests the well-known values It has been argued that 1-loop corrections in chiral perturbation theory are large [8,10,11], and one can therefore get agreement with experimental data on partial decay widths even with somewhat less differing values of g 8 and g 27 , but a sizeable hierarchy still remains. Eqs.…”
Section: Su(3) Classification Of the Effective Theorysupporting
confidence: 60%
“…Of course, there are other operators with the same symmetries, but a higher order in the chiral expansion: these could either involve more derivatives (a complete collection of such next-to-leading order operators can be found in Ref. [8]), or explicit occurrences of the mass matrix, as in…”
Section: Weak Effective Hamiltonian In Su(4) Chiral Perturbation Theorymentioning
confidence: 99%
“…[60]. The use of partial integration identities allows to reduce the number of operators drastically, leading to the lists commonly used in phenomenology [61]; in our case, however, the use of partial integration identities is not possible, since we consider local operator insertions (i.e.…”
Section: Appendix a Irreducible Representations Of The Valence Groupmentioning
confidence: 99%
“…Instead of a generic operator Orsūv, practical computations of the type in Ref. [60] involve certain factorised forms, like…”
Section: Appendix a Irreducible Representations Of The Valence Groupmentioning
confidence: 99%
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