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I guess that, since the Z boson is more massive than both the electrons, they need to go pretty fast (so that their kinetic energy is large enough), but is annihilation a property of the electromagnetic force only? Can the weak force also cause annihilation?

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Yes, the LEP collider collided electrons and positrons to make Z bosons.

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    $\begingroup$ so is this due to the weak force or to the electromagnetic force? $\endgroup$ – SuperCiocia Apr 26 '14 at 11:21
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    $\begingroup$ Don't make us do your homework for you ;) $\endgroup$ – Danu Apr 26 '14 at 11:36
  • $\begingroup$ It's not homework actually, I did't put the tag. I am not asking you to do any calculation. I am just asking whether annihilation is only mediated by the electromagnetic force or whether it can also happen via the weak force $\endgroup$ – SuperCiocia Apr 26 '14 at 11:47
  • $\begingroup$ @Harold: In the SM there exists a weak vertex, $e^- e ^+Z$, so you can create $Z$ bosons "directly" using the weak interaction. You can have some intermediate electromagnetic interactions but they will be higher order processes. $\endgroup$ – JeffDror Apr 26 '14 at 13:22

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