Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-10-16
Physics
High Energy Physics
High Energy Physics - Phenomenology
27 pages, 5 figures
Scientific paper
We consider SU(2)_L x U(1) gauge invariant generalizations of a nonlocal, Lorentz violating mass term for neutrinos that preserves a SIM(2) subgroup. This induces Lorentz violating effects in QED as well as tree-level lepton family number violating interactions. Measurements of g_e - 2 with trapped electrons severely constrain possible SIM(2) mass terms for electrons which violate C invariance. We study Lorentz violating effects in a C invariant and SIM(2) invariant extension of QED. We examine the Lorentz violating interactions of nonrelativistic electrons with electromagnetic fields to determine their impact on the spectroscopy of hydrogen-like atoms and g_e - 2 measurements with trapped electrons. Generically, Lorentz violating corrections are suppressed by m_\nu^2/m_e^2 and are within experimental limits. We study one-loop corrections to electron and photon self-energies and point out the need for a prescription to handle IR divergences induced by the nonlocality of the theory. We also calculate the tree level contribution to \mu to e + \gamma from SIM(2) invariant mass terms.
Dunn Alan
Mehen Thomas
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