Does the W mass run with energy as little as the electron mass?

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The discussion centers on the running of the W and Z boson masses with energy, particularly in comparison to the electron mass. François references a calculation by Boughezal in "Nucl Phys B 2005," which addresses the running of these masses up to at least three-loop order. The consensus indicates that while the electron mass exhibits only a few percent variation with energy due to renormalization, the W and Z bosons may show similar or different effects, warranting further investigation.

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franoisbelfor
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If I look up how the mass of the electron runs with energy between low energy and the Planck energy due to renormalization, the difference is only a few percent. I never found such a calculation of the W or the Z bosons. Is the effect equally small? Or is there a difference?

Thank you very much for any help or any reference!

François
 
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Yes of course, I think one has made it up to at least 3loop order (Boughezal, Nucl Phys B 2005)
 

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