A famous “toy” model in quantum field theory is the scalar {D3 theory. The only fieldin the theory is a neutral scalar (spin—zero) particle, which is represented by a linewithout an arrow, and the only vertex in the theory is where three scalar lines meet. (a) Draw all the leading-order Feynman diagrams for the elastic scattering of twosuch scalars. As before, label the external momenta to help you make sure thatyou obtain all of the diagrams. (b) Now do the same for the process of one scalar decaying into three scalars. Whichof these two processes [(a) or (b)] has more independent diagrams?
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