Anyone has done the 1loop cancellation for the WessZumino model?by diegoRED Tags: 1loop, cancellation, model, wesszumino 

#1
Jan3111, 03:53 PM

P: 4

I am calculating the one loop vacuum energy in the WessZumino model, and I don't get a cancellation. For sure I've messed up with the symmetry factor for the boson diagram, because in the fermion sector i have the cancellation (that is almost trivial). I an old post 2 guys were discussing of the 2loop check, but would be nice for me to see the explicit cancellation for the original lagrangian of wesszumino at 1loop.
I say in advance that I know that in superfields formalism the problem of susy UV cancellations is almost straightforward and that it's possible to go easily to higher loop calculations for simple models like the WessZumino, but I would like to get rid of this problem, because it makes me think that I can not calculate the symmetry factor! The original lagrangian of wesszumino in component is in the euclidean: L= 1/2g^2(A^2+B^2)^2+Mg(A^3+AB^2)+A\bar{\psi}\psi+igB\bar{psi}\gamma_{5}\psi thanks for your attention 



#2
Feb111, 11:30 PM

Sci Advisor
P: 779

I saw your earlier post in a thread between nrqed and me years ago. I didn't reply b/c I don't have my notes handy. But this is done in several major textbooks. For example, check out "Supersymmetric gauge field theory and string theory," by David Bailin, Alexander Love.




#3
Feb2011, 12:51 PM

P: 4

thank you very much.
However I want to stress that in the book that you have cited, the authors carefully avoid to use the standard lagrangian for the wesszumino model. They introduce 3 different chiral superfiled and this trick eliminates the problem of the combinatorial factors (that was clearly my problem)... If you have done the computation in detail for wesszumino with the right combinatorial factors I would really like to see were I get wrong my calculations. 



#4
May1511, 10:03 AM

P: 1

Anyone has done the 1loop cancellation for the WessZumino model?
I,m not sure to understand your problem. But probably the calculation of cancellation of contributions to Higgs mass helps you to check the symmetry factors. This calculation is done precisely for the WessZumino model in :
"Cambridge Lectures on Supersymmetry and Extra Dimensions" Lectures by: Fernando Quevedo pages 48 , 49 Now I have checked it in the homepage of Dr.Quevedo and seen that in that version this calculation is not present. So if you think it might be useful to look at it I can send it to your mail.( I could not copy from pdf to paste on this page ) 


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