Calculating Banks-Zaks Fixed Point for Magnetic SQCD?

[yair]

Homework Statement

Hi,

I'm trying to calculate the Banks-Zaks fixed point for the magnetic dual of SQCD.
the formula for it is in hep-ph/9311340v4 - equations (2.1)-(2.3).

Homework Equations

I've found Y(ijk)Y(ijk)=(4/36)Nc*Nf^2.
S(R)=(1/2)*2Nf= Nf
C(G)=Nf-Nc
D(G)=(Nf-Nc)^2-1
C(R)=(Nf-Nc)^2 -1/2(Nf-Nc)

but putting all there into (2.1)-(2.3) giving me answer with wrong numerical factor.
Could someone help?
the answer should be g^2/16(pi)^2 = (14/3)(2Nf-3Nc)/Nc
and y^2/16(pi)^2 = (4/3)(2Nf-3Nc)/Nc.

The Attempt at a Solution

 

[fzero]

I don't have time right now to check your work, but there's a formula for the beta function of SQCD that you can use to check some intermediate steps. Look at equation 5.1 of http://arxiv.org/abs/hep-th/9509066 . That's for the original theory, but you can rewrite it in terms of the dual variables.

 

[yair]

In the paper you wrote they have calculated the NSVZ beta function to the electric phase.
the calculation in the magnetic phase in more complicated becouse you have superpotential.
the only way to solve this is to use formula (7) from http://arxiv.org/pdf/hep-ph/9308304
and remember we're working with SU(Nf-Nc) i.e d(G)=(Nf-Nc)^2 - 1.