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3 The Wu-Yang phase convention

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It is very important (and helpful!) to keep track of the phase arbitrariness embodied by Eq. (1.6). From the formulae above, one has:

with:

We can use the phase arbitrariness to make one of the quantities in (3.2) and (3.3) to be real. The Wu-Yang convention [8] requires:

The Wu-Yang convention is phenomenologically very useful, as we shall see presently. It corresponds to shift as much T-violation as possible away from the dominant, , non-leptonic amplitude into the suppressed, one.

In the usual parametrization of the KM matrix precisely the opposite occurs, namely T-violation appears predominantly in the amplitude, due to t-quark exchange in penguin diagrams, while the amplitude is predominantly real (except for electroweak penguin effects, which may become important for large values of the t-quark mass, see Sect. 5). Of course, amplitudes computed in the latter (KM) convention can be transformed back to the Wu-Yang phase convention by the transformation (3.1) with:

We adopt the Wu-Yang convention in the following.



Carlos E.Piedrafita