Flavor Decomposition.

[hreyes]

Dear Florian,

I'm trying to use Flavor Decomposition to implement a Yukawa Lagrangian, but I get a notification of invalid sintax.

I wrote: LagYukdown = y1d (({FtL,FbL}).Hs) FbR+(1\Sqrt[2]) y2d ((FdR ({FuL,FdL}))+FsR... etc.

and 'decomposed' the flavor families as:

DEFINITION[EWSB][Flavors]= {
{dL, {FdL,FsL,FbL}},
{dR, {FdR,FsR,FbR}},
...

that were previously defined as:


FermionFields[[1]] = {q, 3, {uL, dL}, 1/6, 2, 3};
FermionFields[[2]] = {l, 3, {vL, eL}, -1/2, 2, 1};
FermionFields[[3]] = {d, 3, conj[dR], 1/3, 1, -3};
FermionFields[[4]] = {u, 3, conj[uR], -2/3, 1, -3};
FermionFields[[5]] = {e, 3, conj[eR], 1, 1, 1};


What would be a rigth notation?

Or can I define fermion fields for each generation as:

FermionFields[[1]] = {u, 1, {uL, dL}, 1/6, 2, 3}; The up generation
FermionFields[[2]] = {s, 1, {sL, cL}, 1/6, 2, 3}; The strange generatiom
....

?

Also, you previously told that Flavor decomposition wouln't hold for SPHENO, but would it work for MICROMEGAS?

Cheers, Humberto

[FStaub]

Hi,

1) you can define fermion fields for all generations separately
2) You write the Lagrangian as L=Yu q.u.Hu which gives you terms like Y^ij q_i u_j H_u and you decompose LATER the fields. SARAH splits then the Lagrangian terms. See for instance MSSM/NoFV where this is done for the MSSM.

Yes, the micromegas output is expected to work.

Cheers,
Florian

[hreyes]

Thanks a lot, the model implementation is working now!