Enhancement of Radiatively Induced Magnetic Moment Form-Factors of Muon: an Effective Lagrangian Approach

Using an effective lagrangian approach, we identify a class of models in which the loop-induced magnetic moment form-factors of muon are enhanced by possibly large factors (\Lambda^2_F/\Lambda^2)(m_\tau/m_\mu)\ln(m_\tau^2/\Lambda^2) or (\Lambda^2_F/\Lambda^2)\ln(m_\mu^2/\Lambda^2), where \Lambda is the scale of new physics and \Lambda_F is the Fermi scale. These follow from left- and right-chirality mixing dimension-8 operators which for relatively small \Lambda, as required to explain the new (g_\mu-2) measurement, dominate over dimension-6 operators. Thus significant enhancement of new physics contributions to (g_\mu-2) and, in the presence of intergenerational couplings, also to the \mu\to e\gamma decay rate is possible. We discuss the compatibility of the (g_\mu-2) and \mu\to e\gamma experimental data in this case and comment on the enhancement of the electron anomalous magnetic moment. An explicit model is presented to illustrate the general results.