Off-diagonal output

[najimuddin]

Hi,
I am trying to get out put of SM+ YN H.l.vR model. Here Yn is 3X3 Yukwa type matrix. All 9 terms are non-zero (may be complex). I want 9 RGEs for these Yn. But I got only three RGEs for the diagonal terms. Do there have any command(s) in this regards.
Please help me.

[FStaub]

Hi,

I just tried it myself, and get at one-loop

Code: Select all

{Yv[i1, i2], ((-9*g1^2)/20 - (9*g2^2)/4 + 3*trace[Yd, Adj[Yd]] + 
    trace[Ye, Adj[Ye]] + 3*trace[Yu, Adj[Yu]] + 
    trace[Yv, Adj[Yv]])*Yv[i1, i2] - 
  (3*(MatMul[Yv, Adj[Ye], Ye][i1, i2] - MatMul[Yv, Adj[Yv], Yv][
      i1, i2]))/2, 0}

That looks actually fine to me.

Cheers,
Florian

[najimuddin]

Thanks for the reply.
I got the same. But in solution of RGEs file "RunRGEs.m" I got only three RGEs for Yv term, i.e., Yv[1,1], Yv[2,2] and Yv[3,3].

[FStaub]

Yes, the Mathematica code to run the RGEs includes by default only diagonal terms. You can change this by setting

Code: Select all

SetOptions[PrepareRGEs,OnlyDiagonal->False]

before running CalcRGEs. However, you have to be prepare that the numerical evaluation within Mathematica will become very slow.

[najimuddin]

Thank you very much