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any loop involving the Higgs which might give a stronger bound (I’m not askingyou to do the loop – just draw it)? What would youmeasureto compare againstthis theory prediction?4. * In supersymmetry, each fermion has a scalar partner, and each gauge boson has aFermionic partner.For example, the partner of the muon is the smuon (μ˜) and thepartner of the photon is the photino (A˜). The Lagrangian gets additional termsLSUSY=LSM+12μ˜(square+mμ˜2)μ˜ +A˜(∂+mA˜)A˜+eμ˜μA˜(2)Here, the size of the Yukawa coupling is fixed to the muon’s chargee∼0.3 by gaugeinvariance and supersymmetry. Since the smuon is charged, it may have a very largeeffect on theg-factor of the muon.a) AssumingmA˜=mμ, what bound onmμ˜do you get fromg-2?b) For other reasons, we expectmA˜∼mμ˜∼MSUSY. What bound onMSUSYdo youget fromg-2?1