Effective field theory interpretation of lepton magnetic and electric dipole moments
Jason Aebischer (Department of Physics, University of California at San Diego, 9500 Gilman Drive, La Jolla, CA, 92093-0319, USA); Wouter Dekens (Department of Physics, University of California at San Diego, 9500 Gilman Drive, La Jolla, CA, 92093-0319, USA); Elizabeth Jenkins (Department of Physics, University of California at San Diego, 9500 Gilman Drive, La Jolla, CA, 92093-0319, USA); Aneesh Manohar (Department of Physics, University of California at San Diego, 9500 Gilman Drive, La Jolla, CA, 92093-0319, USA); Dipan Sengupta (Department of Physics, University of California at San Diego, 9500 Gilman Drive, La Jolla, CA, 92093-0319, USA); et al - Show all 6 authors
We perform a model-independent analysis of the magnetic and electric dipole moments of the muon and electron. We give expressions for the dipole moments in terms of operator coefficients of the low-energy effective field theory (LEFT) and the Standard Model effective field theory (SMEFT). We use one-loop renormalization group improved perturbation theory, including the one-loop matching from SMEFT onto LEFT, and one-loop lepton matrix elements of the effective-theory operators. Semileptonic four-fermion operators involving light quarks give sizable non-perturbative contributions to the dipole moments, which are included in our analysis. We find that only a very limited set of the SMEFT operators is able to generate the current deviation of the magnetic moment of the muon from its Standard Model expectation.