Minimal Supersymmetric Standard Model - The MSSM Lagrangian

The MSSM Lagrangian

The Lagrangian for the MSSM contains several pieces.

• The first is the Kähler potential for the matter and Higgs fields which produces the kinetic terms for the fields.

• The second piece is the gauge field superpotential that produces the kinetic terms for the gauge bosons and gauginos.

• The next term is the superpotential for the matter and Higgs fields. These produce the Yukawa couplings for the Standard Model fermions and also the mass term for the Higgsinos. After imposing R-parity, the renormalizable, gauge invariant operators in the superpotential are

The constant term is unphysical in global supersymmetry (as opposed to supergravity).