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Glashow resonance (UHE neutrinos)

  1. Apr 12, 2015 #1

    ChrisVer

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    I'm obviously studying about neutrinos lately.....

    So, I wanted to ask about the Glashow resonance. I don't understand what they mean when saying:
    http://arxiv.org/pdf/1108.3163v2.pdf (sec.2)

    Unfortunately I don't have access in the refs.

    If I understand this correctly, it says that the intermediate W-boson is a real particle, right? But if that's true, I don't understand why this appears at PeV energies and not energies ~[itex]M_W[/itex]. Thanks...
     
  2. jcsd
  3. Apr 12, 2015 #2

    mfb

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    You have to consider energy and momentum conservation at the same time. An 80 GeV neutrino with an electron at rest has a CMS energy way lower than 80 GeV.
     
  4. Apr 12, 2015 #3

    ChrisVer

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    So I should say that the initial 4-momentum is:
    [itex]P_{in} = \begin{pmatrix} E_\nu + m_e \\ \vec{p}_\nu \end{pmatrix}[/itex] and that its square =[itex]M_W^2[/itex]?
     
  5. Apr 12, 2015 #4

    mfb

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    Right.
     
  6. Apr 12, 2015 #5

    ChrisVer

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    Yes, that works fine :) I think I need to regain my form...
     
  7. Apr 12, 2015 #6

    Orodruin

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    Or even simpler:
    $$
    M_W^2=
    (p_e + p_\nu)^2 = m_e^2 + m_\nu^2 + 2p_e\cdot p_\nu \simeq 2m_e E_\nu
    $$
    Actually summing it first is just extra work.
     
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