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The neutrino and electroweak transformations

  1. Apr 15, 2012 #1
    Hi, quick question.

    "In electroweak theory, the neutrino belongs to an SU(2) doublet"

    So, does the neutrino belong to an SU(2)xU(1) (electroweak) doublet or just SU(2)?



    Thanks!
     
    Last edited: Apr 15, 2012
  2. jcsd
  3. Apr 15, 2012 #2

    Bill_K

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    The left-handed neutrino and left-handed electron form an electroweak SU(2)xU(1) doublet. The right-handed electron forms an electroweak singlet. The right-handed neutrino, if it exists, also forms a singlet.
     
  4. Apr 15, 2012 #3
    It's possible to speak of a particle's transformation properties under SU(2) and U(1) separately. Under SU(2) transformations the neutrino transforms as part of a doublet. Under U(1) transformations the neutrino picks up a phase proportional to its hypercharge. So I think it's most correct to say "SU(2)" double instead of "SU(2) x U(1)" doublet.
     
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