Self energy and Oblique Parameters

[Mandal]

I have some very basic questions.

1)Does SARAH produce output for all three oblique parameters S, T and U either analytically or numerically (using SPheno) or both. I found that it calculates \delta_\rho using SPheno and it is related to the T parameter. Does SARAH calculate the other two namely S and U parameters also.

2) Regrading the one-loop self energy expressions, SARAH refers to Nucl. Phys., B 491:367, 1997, hep-ph/9606211 for various definitions. I found that output produced by SARAH (version 4.6.0) in the file selfenergy.m for MSSM contains a function B00(p^2, m1, m2) which is not defined in the above mentioned paper and in SARAH manual also. Is there any translation table between selfenergy.m expressions and the expressions for self energies written in the paper for all the particles, since these two cases do not match completely.

[FStaub]

I have some very basic questions.

1)Does SARAH produce output for all three oblique parameters S, T and U either analytically or numerically (using SPheno) or both. I found that it calculates \delta_\rho using SPheno and it is related to the T parameter. Does SARAH calculate the other two namely S and U parameters also.

No, SARAH doesn't calculate the 'mixed' self-energies \gamma-Z and therefore, the calculation of S and U is not possible so far.

I have some very basic questions.

2) Regrading the one-loop self energy expressions, SARAH refers to Nucl. Phys., B 491:367, 1997, hep-ph/9606211 for various definitions. I found that output produced by SARAH (version 4.6.0) in the file selfenergy.m for MSSM contains a function B00(p^2, m1, m2) which is not defined in the above mentioned paper and in SARAH manual also. Is there any translation table between selfenergy.m expressions and the expressions for self energies written in the paper for all the particles, since these two cases do not match completely.

Yes, sorry that is a bit misleading. The SPheno conventions, which I adapated, are

• - B22 is $\hat B_{22}$ as defined in J. Bagger at al
  - B00 is $B_{22}$ of that paper.

You can also check the file SPheno/src/LoopFunctions.f90 and search for these functions.

[Mandal]

Thank you for the clarifications.
I have another confusion regarding the notation \Gamma and \Gamma_{L,R} in the Latex version of the self energies. Are they same as Cp[] and Cp[][PL,PR] in selfenergy.m file. Does SARAH save all these expressions in a particular file, like e.g. the expression for Cp[ conj [VWm], VZ, VWm] in MSSM.

[FStaub]

SARAH saves all couplings in Output/MODELNAME/EWSB/Vertices/ separated by their generic type.

[Mandal]

Thanks. I have faced another problem regarding the anomalous dimension of fields. Do the files Gammaij.m and GammaijHat.m (inside the folder Output/Modelname/RGEs) save all the anomalous dimensions. If yes then how to identify which expression corresponds to which field.

[FStaub]

Hi,

yes, these files contain the anomalous dimensions. All necessary information shall be given here: http://stauby.de/sarah_wiki/index.php?title=RGEs
If there are questions left, please let me know, and I'll extend that page.

Best,
Florian