Dear Florian,
there is a way to check what kind of contractions are needed for a generic interaction term, e.g. Phi.Eta.Xi, if they belong to unusual representations of SU(2) and/or SU(3)?
Thanks
Antonio
Contractions
Re: Contractions
Hi,
you can see the contractions used by SARAH for the given implementation via
1) NonSUSY models
2) SUSY models
you can see the contractions used by SARAH for the given implementation via
1) NonSUSY models
Code: Select all
SA`LagrangianContractions
2) SUSY models
Code: Select all
ShowSuperpotentialContractions
Re: Contractions
Dear Florian,
thanks for the answer. However I am still a bit confused. Concerning the model (SM+Triplet, Complex) I don't understand why the contraction of the term
KHT conj[H].trip.H
is
conj[H[{lef1}][{gen1}]] Delta[lef1, lef2] Delta[lef2b,lef3] H[{lef3}][{gen3}] trip[{lef2, lef2b}][{gen2}]
There shouldn't be a epsTensor[lef2b,lef3] instead of Delta[lef2b,lef3]?
The fields are
ScalarFields[[1]] = {H, 1, {Hp, H0}, 1/2, 2, 1};
ScalarFields[[2]] = {trip, 1, {{T0/Sqrt[2],Tp},{Tm,T0/Sqrt[2]}}, 0, 3, 1};
Thank you.
With regards
Antonio
thanks for the answer. However I am still a bit confused. Concerning the model (SM+Triplet, Complex) I don't understand why the contraction of the term
KHT conj[H].trip.H
is
conj[H[{lef1}][{gen1}]] Delta[lef1, lef2] Delta[lef2b,lef3] H[{lef3}][{gen3}] trip[{lef2, lef2b}][{gen2}]
There shouldn't be a epsTensor[lef2b,lef3] instead of Delta[lef2b,lef3]?
The fields are
ScalarFields[[1]] = {H, 1, {Hp, H0}, 1/2, 2, 1};
ScalarFields[[2]] = {trip, 1, {{T0/Sqrt[2],Tp},{Tm,T0/Sqrt[2]}}, 0, 3, 1};
Thank you.
With regards
Antonio
Re: Contractions
Hi,
I don't think so, because H^* has a lower index, H an upper index and the triplet one lower and one upper index, i.e. the term reads (H^*)_a T^b_c H^d. One lower and one upper index is contracted with Delta, while epsilon appears for two lower or two upper ones.
Cheers
Florian
I don't think so, because H^* has a lower index, H an upper index and the triplet one lower and one upper index, i.e. the term reads (H^*)_a T^b_c H^d. One lower and one upper index is contracted with Delta, while epsilon appears for two lower or two upper ones.
Cheers
Florian
Re: Contractions
Dear Florian,
I have another question regarding the contractions but for a different case. I've implemented a model with leftright symmetry with the following fileds
Gauge[[1]]={B, U[1], bminl, gBL,False};
Gauge[[2]]={WL, SU[2], left, g2,True};
Gauge[[3]]={WR, SU[2], right, gR,True};
Gauge[[4]]={G, SU[3], color, g3,False};
ScalarFields[[1]] = {Phi, 1, {{H0, Hp},{Hm, HPrime0}}, 0, 2, 2, 1};
ScalarFields[[3]] = {HR, 1, {hR0, hRm}, 1, 1, 2, 1};
In the potential I have these two terms (one of them need h.c. of course)
muPhi2 conj[Phi].Phi
and
mPhi2 Phi.Phi
The model seems to work fine but in the RG I got the "Still Entangled" error for muPhi2 and mPhi2. (By the way, the same error appear in the LRmodelstripletLR where there are two similar terms)
Have I to specify the contractions for the RG equations? Are these contractions different from the potential ones (corresponding to the same coupling)?
Thanks
Antonio
I have another question regarding the contractions but for a different case. I've implemented a model with leftright symmetry with the following fileds
Gauge[[1]]={B, U[1], bminl, gBL,False};
Gauge[[2]]={WL, SU[2], left, g2,True};
Gauge[[3]]={WR, SU[2], right, gR,True};
Gauge[[4]]={G, SU[3], color, g3,False};
ScalarFields[[1]] = {Phi, 1, {{H0, Hp},{Hm, HPrime0}}, 0, 2, 2, 1};
ScalarFields[[3]] = {HR, 1, {hR0, hRm}, 1, 1, 2, 1};
In the potential I have these two terms (one of them need h.c. of course)
muPhi2 conj[Phi].Phi
and
mPhi2 Phi.Phi
The model seems to work fine but in the RG I got the "Still Entangled" error for muPhi2 and mPhi2. (By the way, the same error appear in the LRmodelstripletLR where there are two similar terms)
Have I to specify the contractions for the RG equations? Are these contractions different from the potential ones (corresponding to the same coupling)?
Thanks
Antonio
Re: Contractions
Hi,
sorry for the delayed reply. I don't think that this is necessarily a problem with the contractions because they should be fine. The problem is that the RGEs are calculated in terms of real scalars, i.e. both terms involve the same external states. One needs to take the superposition of different field combinations to get the running of single parameters. And that seems to fail somehow.
I'll take a look at the LR models to see if I can find a solution.
Cheers,
Florian
sorry for the delayed reply. I don't think that this is necessarily a problem with the contractions because they should be fine. The problem is that the RGEs are calculated in terms of real scalars, i.e. both terms involve the same external states. One needs to take the superposition of different field combinations to get the running of single parameters. And that seems to fail somehow.
I'll take a look at the LR models to see if I can find a solution.
Cheers,
Florian
Re: Contractions
Hi,
I found a potential problem in the routine and tried to patch it. However, I don't have time to test that in detail. I attach the file with changed. Maybe, you can give a try if it works for you. I'll try to come back to this problem when I have more time (what might be in about 2 weeks..)
Cheers,
Florian
I found a potential problem in the routine and tried to patch it. However, I don't have time to test that in detail. I attach the file with changed. Maybe, you can give a try if it works for you. I'll try to come back to this problem when I have more time (what might be in about 2 weeks..)
Cheers,
Florian
 Attachments

 nonSUSYrges.m
 (78.73 KiB) Downloaded 5 times
Re: Contractions
Dear Florian,
thank You for the effort. I'll see if it works and I'll feedback You of course.
With regards
Antonio
thank You for the effort. I'll see if it works and I'll feedback You of course.
With regards
Antonio
Re: Contractions
Dear Florian,
Your solution works fine, at least for my model.
Thank You.
Antonio
Your solution works fine, at least for my model.
Thank You.
Antonio
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