1
$\begingroup$

I found this term/operator in some papers that can generate masses, e.g Riva-Biggio-Pomarol(2012), Fox-Nelson-Weiner

$\int d^4\theta \frac{X^\dagger X}{M^2}Q^\dagger Q$

Could anyone explain about this term? Is there any references that explain this term?

$\endgroup$
0
$\begingroup$

The term give a mass for the squarks. This is easy to see by expanding the superfields, \begin{equation} \frac{ F ^4 }{ M ^4 }\int \,d^4\theta \bar{\theta} ^2 \theta ^2 \left( \tilde{q} ^\dagger + \bar{\theta} \bar{q} + ... \right) \left( \tilde{q} + \theta q + ... \right) \end{equation} Only the first squark-squark term survives giving, \begin{equation} m _{ \tilde{q} } ^2 \tilde{q} ^\dagger \tilde{q} \end{equation} where $ m _{ \tilde{q} } ^2 \equiv F ^4 / M ^4 $ (there is an implicit numerical coefficient outfront as well).

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.