content_image/346211.jpg content_image/346212.jpg content_image/346213.jpg content_image/346214.jpg content_image/346215.jpg
where G$_{µν}$ is the filed strength of the external chiral gauge fields defined as 

<img src='content_image/346211.jpg'>

From Eq. (C.1) together with other building blocks in TABLE I, a complete list of the O ( p $^{4}$) Lagrangian invariant under the C and P transformation is constructed as 

where 

<img src='content_image/346212.jpg'>

<img src='content_image/346213.jpg'>

<img src='content_image/346214.jpg'>

<img src='content_image/346215.jpg'>

[1] See e.g. S. Muroya, A. Nakamura, C. Nonaka and T. Takaishi, Prog. Theor. Phys. 110 , 615 (2003). 

