Weak $K$--Amplitudes in the Chiral and $1/N_c$--Expansions

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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11 pages, latex, 1 figure (included in a separate ps file)

Scientific paper

10.1016/0370-2693(96)00171-2

It is shown that there exist symmetry constraints for non--leptonic weak amplitudes which emerge when the $1/N_c$--expansion restricted to the leading and next--to--leading approximations only is systematically combined with $\chi$PT limited to the lowest non--trivial order. We discuss these constraints for the couplings $\mbox{\bf g}_8$ and $\mbox{\bf g}_{27}$ of $\Delta S=1$ transitions and the $\mbox{\bf B}_{K}$--parameter of $K^0-{\bar K}^0$ mixing.

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