k = k2
;ure 3-2
3.2.1 A
1 M7 i Pm, P i P2
SCubic vertex kinematics. Basic kinematic setup for the one loop correction to
the cubic vertex. T..: moment and are taken to point into the vertex
whereas points out, so that momentum conservation reads pl p+ = .. By
time translation invariance we take one of the vertices to be at 0. We take
the external gluon lines to have polarizations ni,
Feynman Diagram Calculation
For 4-----licity in presentation we consider at first the case ni = n2 = A, ns = V.
Omitting terms which are convergent in the continuum limit, i.e., retaining only those
terms that contribute to the charge renormalization, we have
S)AAV
IfT ( 1'11 .)T ..2 4
1AS2
iB+1 12B2+ 13B3
(TiT I T T) 3
S3-9)
where F1 denotes the j:: :: e" contribution to charge renormalization, at one 1 from
gluons internally. In this section we will omit this descriptive notation and refer to F' as
simply F. We have used the following definitions:
1 ,7
I k2- ki
2 21 ; : I
Ti T2 I T3
ZT (TIT :. TITT
T' ,
1 k2
1 1
(3 10)
I T T .: .)
(3-11)
(3-12)
(3-13)
T) f