K---> pi pi e+ e- decays and chiral low-energy constants - INSPIRE

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K---> pi pi e+ e- decays and chiral low-energy constants

Hannes Pichl
(
- Frascati and
- Vienna U.
)

Oct, 2000

35 pages

Published in:

Eur.Phys.J.C 20 (2001) 371-388

e-Print:

hep-ph/0010284 [hep-ph]

DOI:

10.1007/s100520100652

Report number:

LNF-00-026-P,
UWTHPH-2000-40

View in:

ADS Abstract Service

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Abstract:

The branching ratios of the measured decay

K_L\to\pi^+\pi^-e^+e^-

and of the still unmeasured decay

K^+\to\pi^+\pi^0e^+e^-

are calculated to next-to-leading order in Chiral Perturbation Theory (CHPT). Recent experimental results are used to determine two possible values of the combination

(N^r_{16}-N_{17})

of weak low-energy couplings (LECs) from the

\mathcal{O}(p^4)

chiral Lagrangian. The obtained values are compared to the predictions of theoretical approaches to weak counterterm couplings to distinguish between the two values. Using the favoured value of the combination

(N^r_{16}-N_{17})

and taking into account additional assumptions suggested by the considered models, one obtains the branching ratio of the second decay as a function of the unknown combination

(N^r_{14}+2N^r_{15})

of weak low-energy couplings. Finally, using values of the individual LECs derived from a particular model, one predicts the branching ratio of the

K^+

decay.

K: rare decay
K: semileptonic decay
pi: pair production
electron: pair production
K: branching ratio
effective Lagrangian
perturbation theory: chiral
perturbation theory: higher-order
K: radiative decay
photon: off-shell

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Figures(0)

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