By M. Sanchez
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Additional resources for Kaon Physics - CP Violation in Hadronic Matrix Elements
Example text
5). 6). 7). We have disregarded some tiny electroweak corrections proportional to√e2 GE . 3 Leading Order Chiral Perturbation Theory Predictions 39 and Im a2 Re a2 LO F02 Im (e2 GE ) 3 . 36). We can also made predictions for the K → 3π amplitudes. 44) are proportional to strong phases times the real part of the squared amplitudes. 6), the strong phases start at one-loop and are order p4 /p2 while the real parts are order (p2 )2 . The denominators are proportional to the real part of the amplitudes which are order (p2 )2 , so the asymmetries for the slope g and decay rates Γ are order p2 in CHPT.
We included the dominant Final State Interactions at NLO analytically and discussed the importance of the unknown countertems. 35))– from their eventual measurement. e. order p4 in this case) and in the isospin symmetry limit mu = md . We have also calculated the contribution of the O(e2 p2 ) electroweak octet counterterms. 1) we have indicated the four momentum carried by each particle and the symbol we will use for the amplitude. The states K1 and K2 are defined as K1(2) = K 0 − (+)K 0 √ . 2) The chiral Lagrangians defined in Chapter 3 are the tools utilized to get these amplitudes.
It also makes these CP-violating asymmetries complementary to the direct CP-violating parameter ε′K where there is a cancellation between the Im G8 and Im (e2 GE ) contributions. 44). 13) and ∆|AC(N ) |2 are defined by 1 |A K + → π + π + π − |2 − |A K − → π − π − π + |2 , 2 1 = |A K + → π 0 π 0 π + |2 − |A K − → π 0 π 0 π − |2 . 19) (4) where we do not show explicitly the sj dependence of the functions Bi and Ci nor the (2) (4) subscript C or N in Bi and Bi for the sake of simplicity. 3. 3. 03 Im (e GE ) × 10 2 −3 ∆ΓLO .