A Can High-Energy Photons Undergo Decay/Splitting via QED in Vacuum?

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I'm looking for recommended references that address the possibility/impossibility of photon decay/splitting through the QED process (in vacuum):

Incoming photon --> virtual fermion - anti fermion loop --> three outgoing lower-energy photons (propagating at the same direction as the incoming photon, to satisfy the conservation of energy and angular momentum)

Please help
 
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