is the kinetic term for the Standard Model fermions. The interaction of the gauge bosons and the fermions are through the gauge covariant derivative, where the subscript sums over the three generations of fermions; , , and are the left-handed doublet, right-handed singlet up, and right handed singlet down quark fields; and and are the left-handed doublet and right-handed singlet electron fields. The Feynman slash means the contraction of the 4-gradient with the Dirac matrices, defined as and the covariant derivative (excluding the gluon gauge field for the strong interaction) is defined as Here is the weak hypercharge and the are the components of the weak isospin.
is the kinetic term for the Standard Mod.el fermions. The interaction of the gauge bosons and the fermions are through the gauge covariant derivative, where the subscript sums over the three generations of fermions; , , and are the left-handed doublet, right-handed singlet up, and right handed singlet down quark fields; and and are the left-handed doublet and right-handed singlet electron fields. The Feynman slash means the contraction of the 4-gradient with the Dirac matrices, defined as and the covariant derivative (excluding the gluon gauge field for the strong interaction) is defined as Here is the weak hypercharge and the are the components of the weak isospin