Substituting Eqs. (C13)-(C18) into (C4)-(C6) via (C11) and (C12) and using
Eq. (C7), we finally obtain
g(HZ) + SKLKXL KLM. XXL O(X4/ ), (C19)
01 2 t y 10+ 4 2
9(THZ) 3 IKPB LXKXL I2 KL X I + p XK
1
+ --KPIPLMXKX'LXM + O(X4/R4), (C20)
IJ (IJ I K LP .K L _.J
g(THZ) + JIJSKLXKXL KP L K KPLX
1 1
+ p2 IKp3JPXK + JKLM KXLX + O(X4/R4) (C21)
21 3
or
9(THZ)00 -1 EKL XKL KLMXKXLX + O(X4/R44), (C22)
3
g(THZ) OI 2IKP L XKL ,_ KL KXL + 2 + KI
3 21 21
g(THZ) IJ 6IJ 6IJSKL XKL + 5 QKPI LXXK LX
Sp2KpI JPXK 6IJSKLMXKXLXM + O(X4/4), (C24)
21 3
which exactly matches Eqs. (4-49)-(4-51).