## Abstract

The authors consider contributions to decays of K-mesons from effective lagrangians involving (i{gamma}{center_dot}D-m{sub q}), where D{sub {mu}} is the covariant derivative and m{sub q} is a relevant quark mass. For this purpose an effective low-energy QCD is used, where the quarks are coupled to the pseudoscalar mesons {pi}, K, {eta}. These couplings are due to their Goldstone character and reflect chiral-symmetry breaking. Within this scheme it is shown explicitly that for the decays K{yields}{pi}{pi} and K{yields}{gamma}{gamma}, the physical effects of operators involving (i{gamma}{center_dot}D-m{sub q}) are not zero, contrary to current statements. To be more specific, one obtains a zero effect only in the limit when the quark-meson interactions are switched off, that is for f{sub {pi}}{yields}{infinity}. Numerically, one finds weak impact on the CP-conserving K{yields}{pi}{pi} amplitude, while the impact of K{yields}{gamma}{gamma} is substantial in the CP-violating case. 17 refs., 4 figs.

## Citation Formats

Eeg, J O, and Picek, I.
Off-shell s{yields}d transitions i K-decays.
Norway: N. p.,
1992.
Web.

Eeg, J O, & Picek, I.
Off-shell s{yields}d transitions i K-decays.
Norway.

Eeg, J O, and Picek, I.
1992.
"Off-shell s{yields}d transitions i K-decays."
Norway.

@misc{etde_10119661,

title = {Off-shell s{yields}d transitions i K-decays}

author = {Eeg, J O, and Picek, I}

abstractNote = {The authors consider contributions to decays of K-mesons from effective lagrangians involving (i{gamma}{center_dot}D-m{sub q}), where D{sub {mu}} is the covariant derivative and m{sub q} is a relevant quark mass. For this purpose an effective low-energy QCD is used, where the quarks are coupled to the pseudoscalar mesons {pi}, K, {eta}. These couplings are due to their Goldstone character and reflect chiral-symmetry breaking. Within this scheme it is shown explicitly that for the decays K{yields}{pi}{pi} and K{yields}{gamma}{gamma}, the physical effects of operators involving (i{gamma}{center_dot}D-m{sub q}) are not zero, contrary to current statements. To be more specific, one obtains a zero effect only in the limit when the quark-meson interactions are switched off, that is for f{sub {pi}}{yields}{infinity}. Numerically, one finds weak impact on the CP-conserving K{yields}{pi}{pi} amplitude, while the impact of K{yields}{gamma}{gamma} is substantial in the CP-violating case. 17 refs., 4 figs.}

place = {Norway}

year = {1992}

month = {Jul}

}

title = {Off-shell s{yields}d transitions i K-decays}

author = {Eeg, J O, and Picek, I}

abstractNote = {The authors consider contributions to decays of K-mesons from effective lagrangians involving (i{gamma}{center_dot}D-m{sub q}), where D{sub {mu}} is the covariant derivative and m{sub q} is a relevant quark mass. For this purpose an effective low-energy QCD is used, where the quarks are coupled to the pseudoscalar mesons {pi}, K, {eta}. These couplings are due to their Goldstone character and reflect chiral-symmetry breaking. Within this scheme it is shown explicitly that for the decays K{yields}{pi}{pi} and K{yields}{gamma}{gamma}, the physical effects of operators involving (i{gamma}{center_dot}D-m{sub q}) are not zero, contrary to current statements. To be more specific, one obtains a zero effect only in the limit when the quark-meson interactions are switched off, that is for f{sub {pi}}{yields}{infinity}. Numerically, one finds weak impact on the CP-conserving K{yields}{pi}{pi} amplitude, while the impact of K{yields}{gamma}{gamma} is substantial in the CP-violating case. 17 refs., 4 figs.}

place = {Norway}

year = {1992}

month = {Jul}

}