A. Zee, Quantum Field Theory in a Nutshell · Problem VII.2.1

Field Theory Redux

Physics — QFT

Problem

Unfortunately, the mass of the elusive Higgs particle

H

depends on the parameters in the double well potential

V = -\mu^2\phi^\dagger\phi + \lambda(\phi^\dagger\phi)^2

responsible for the spontaneous symmetry breaking. Assuming that

H

is massive enough to decay into

W^+ + W^-

and

Z + Z

, determine the rates for

H

to decay into these modes.