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Radiative generation of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>θ</mml:mi><mml:mn>13</mml:mn></mml:msub></mml:math>with the seesaw threshold effect
We examine whether an appreciable value of the lepton flavor mixing angle ${\ensuremath{\theta}}_{13}$ at the electroweak scale ${\ensuremath{\Lambda}}_{\mathrm{E}\mathrm{W}}$ can be radiatively generated from ${\ensuremath{\theta}}_{13}=0\ifmmode^\circ\else\textdegree\fi{}$ at the grand unified theory (GUT) scale ${\ensuremath{\Lambda}}_{\mathrm{G}\mathrm{U}\mathrm{T}}$. It is found that the renormalization-group running and seesaw threshold effects may lead to ${\ensuremath{\theta}}_{13}\ensuremath{\sim}5\ifmmode^\circ\else\textdegree\fi{}$ at low energies …