SARAH uses the definition of the rotations defined in the model file to calculate the mass matrices for particles which mix. In general, all field rotations as listed in 'Supported particle mixing' are possible. The mass matrices for scalars are calculated by
where ϕ can be either real or complex, i.e. the resulting MS corresponds to MC or MR as as define here. In the mass matrices of states which include Goldstone bosons also the Rξ dependent terms are included.
The mass matrices for fermions are calculated as
with x = y = 0 for Majorana fermions, and x = 1, y = 2 for Dirac fermions.
SARAH calculates for all states which are rotated to mass eigenstates the mass matrices during the evaluation of a model. In addition, it checks if there are also particles where gauge and mass eigenstates are identical. In that case, it calculates also the expressions for the masses of these states.
SARAH calculates automatically the mass matrices before rotating the fields to the new eigenstates and saves the information in arrays. The mass matrix for a particular field is shown via
In addition, one can use the commands
to print all masses for a given set of eigenstates. The difference between this two arrays is that in the first one, the different generations are written as indices, while in the second on the generation indices are explicitly inserted. This means, in the first case the basis for the mass matrix in the down squark sector is just