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Obtaining K → ππ from off-shell K → π amplitudes

Bijnens, Johan LU orcid ; Pallante, Elisabetta and Prades, Joaquim (1998) In Nuclear Physics B 521(1-2). p.305-333
Abstract

We properly define off-shell K → π transition amplitudes and use them to extract information for on-shell K → ππ amplitudes within Chiral Perturbation Theory. At order p2 in the chiral expansion all three parameters of weak interaction can be determined. At order p4 we are able to fix eleven additional constants out of thirteen contributing to off-shell K → π transitions, which leaves four undetermined constants in the on-shell K → ππ amplitudes. All script O sign(p4) contributions have been exactly derived with m2 π ≠ 0. We finally discuss the weak mass term issue and find contributions to on-shell ΔS = ±1 kaon decays, in particular to transitions like... (More)

We properly define off-shell K → π transition amplitudes and use them to extract information for on-shell K → ππ amplitudes within Chiral Perturbation Theory. At order p2 in the chiral expansion all three parameters of weak interaction can be determined. At order p4 we are able to fix eleven additional constants out of thirteen contributing to off-shell K → π transitions, which leaves four undetermined constants in the on-shell K → ππ amplitudes. All script O sign(p4) contributions have been exactly derived with m2 π ≠ 0. We finally discuss the weak mass term issue and find contributions to on-shell ΔS = ±1 kaon decays, in particular to transitions like KL → γγ, KL → μ+μ- and KS → π0γγ at the lowest non-zero order.

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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Chiral perturbation theory, Non-leptonic kaon decays
in
Nuclear Physics B
volume
521
issue
1-2
pages
29 pages
publisher
North-Holland
external identifiers
  • scopus:0032527320
ISSN
0550-3213
DOI
10.1016/S0550-3213(98)00202-8
language
English
LU publication?
yes
id
020bf26b-cdbb-4751-b268-340f6c36f6ab
date added to LUP
2019-05-03 09:10:13
date last changed
2024-01-01 02:50:25
@article{020bf26b-cdbb-4751-b268-340f6c36f6ab,
  abstract     = {{<p>We properly define off-shell K → π transition amplitudes and use them to extract information for on-shell K → ππ amplitudes within Chiral Perturbation Theory. At order p<sup>2</sup> in the chiral expansion all three parameters of weak interaction can be determined. At order p<sup>4</sup> we are able to fix eleven additional constants out of thirteen contributing to off-shell K → π transitions, which leaves four undetermined constants in the on-shell K → ππ amplitudes. All script O sign(p<sup>4</sup>) contributions have been exactly derived with m<sup>2</sup>                            <sub>π</sub> ≠ 0. We finally discuss the weak mass term issue and find contributions to on-shell ΔS = ±1 kaon decays, in particular to transitions like K<sub>L</sub> → γγ, K<sub>L</sub> → μ<sup>+</sup>μ<sup>-</sup> and K<sub>S</sub> → π<sup>0</sup>γγ at the lowest non-zero order.</p>}},
  author       = {{Bijnens, Johan and Pallante, Elisabetta and Prades, Joaquim}},
  issn         = {{0550-3213}},
  keywords     = {{Chiral perturbation theory; Non-leptonic kaon decays}},
  language     = {{eng}},
  month        = {{06}},
  number       = {{1-2}},
  pages        = {{305--333}},
  publisher    = {{North-Holland}},
  series       = {{Nuclear Physics B}},
  title        = {{Obtaining K → ππ from off-shell K → π amplitudes}},
  url          = {{http://dx.doi.org/10.1016/S0550-3213(98)00202-8}},
  doi          = {{10.1016/S0550-3213(98)00202-8}},
  volume       = {{521}},
  year         = {{1998}},
}