One-Loop Tadpoles

[antonioc]

I'm calculating the one-loop corrections to the tadpoles.
SARAH is giving me this results

{{hh, A0[Mass2[gWm]]*Cp[Uhh[{gO1}], bar[gWm], gWm] +
A0[Mass2[gWmC]]*Cp[Uhh[{gO1}], bar[gWmC], gWmC] +
A0[Mass2[gZ]]*Cp[Uhh[{gO1}], bar[gZ], gZ] + ....}}

The second entry is the corrections which are function of the generation of hh trough Uhh[{gO1}].
How do I know which is the correction to, let's say, the minimitazion condition mHu2 -> something ?

In the couplings Cp[Uhh[{gO1}], X, Y] appear the rotation matrices ZH, ZA, .....
Are these matrices the tree-level rotation matrices for the various fields ?

[FStaub]

Hi,

did you check that page: http://stauby.de/sarah_wiki/index.php?t ... d_Tadpoles ?

At the end, you must replace in the vertices the Higgs rotation matrix by the identity matrix (therefore "Uhh" for "unrotated hh"). Then the order of the tadpole corrections is identical to the order of fields how you defined your rotation matrix for the Higgs fields. I.e. if you have

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{{phid,phiu,...},{hh,ZH}}

then the second tadpole corrections corresponds to phiu and therefore to mHu2.

Cheers,
Florian

[antonioc]

Thanks a lot for the clarifications.
But what about the rotation matrices for the other scalars that I have, i.e. pseudoscalars, charged Higgses and squarks?
They are treated as rotated fields so their mass matrices are not the identity, right?

Best

[FStaub]

Yes, in general the other rotation matrices are not diagonal.

Cheers,
Florian