problems in solving TadpoleEquations

[Wenxing]

Hi Florian,
I have a problem in solving tadpole equations.
The Higgs I wrote is

DEFINITION[EWSB][VEVs]=
{
{Hd1, {vd1, 1/Sqrt[2]}, {sigmad1, I/Sqrt[2]}, {phid1, 1/Sqrt[2]}},
{Hd2, {vd2, 1/Sqrt[2]}, {sigmad2, I/Sqrt[2]}, {phid2, 1/Sqrt[2]}},
{HT, {vh, 1/Sqrt[2]}, {sigmah, I/Sqrt[2]}, {phih, 1/Sqrt[2]}},
{T0, {0, 1/Sqrt[2]}, {sigmat, I/Sqrt[2]}, {phit, 1/Sqrt[2]}},
{Hu, {vu, 1/Sqrt[2]}, {sigmau, I/Sqrt[2]}, {phiu, 1/Sqrt[2]}},
{x22, {0, 1/Sqrt[2]}, {sigmax11, I/Sqrt[2]}, {phix11, 1/Sqrt[2]}},
{x12, {0, 1/Sqrt[2]}, {sigmax12, I/Sqrt[2]}, {phix12, 1/Sqrt[2]}},

{x11, {v3, 1/Sqrt[2]}, {sigmax, I/Sqrt[2]}, {phix, 1/Sqrt[2]}}
};


while in spheno.m I wrote:

ParametersToSolveTadpoles = {mTd2,mTu2,mT2,mphi2,LB};

when I run Makespheno[], sarah said No solution found for tadpole equations. While in fact when I use the function TadpoleEquations[field], I can solve the 8 equations, which you can see the details in the attachment.
Could you tell me where is the problem?

Thank you very much!

Best wishes!
Wenxing

[FStaub]

Hi,

the problem are most likely the one-loop corrections:

SARAH also tries to solve the one-loop tadpoles defined by:

T_i + \delta_i = 0

where T_i are the tree-level tadpoles and \delta_i parametrise the loop corrections. In your case, most likely relations among the \delta's exist which make it already possible to solve the 8 tree-level equations by only 5 parameters.
This is similar to CP violating MSSM where one has 4 equations but only 3 parameters: the 3rd and 4th are redundant and just differ by an overall factor vd\vu. Therefore, one can define in SPheno.m:

Code: Select all

Tad1Loop[4]=Tad1Loop[3]*vd/vu;

and SARAH is again able to solve the loop corrected equations.

Cheers,
Florian