Obtaining K → ππ from off-shell K → π amplitudes
(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
- Bijnens, Johan LU ; Pallante, Elisabetta and Prades, Joaquim
- organization
- publishing date
- 1998-06-15
- 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}}, }