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

[franoisbelfor]

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

 

[malawi_glenn]

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

 

[sir-pinski]

The W boson mass does indeed run with energy, just like the electron mass. However, the effect is not as small as it is for the electron. This is because the W boson is a much heavier particle, and therefore its mass is more sensitive to changes in energy.

The running of the W boson mass is described by the Standard Model of particle physics, and it has been extensively studied and calculated. In fact, the W boson mass is one of the key parameters that is used to test the validity of the Standard Model.

One of the main differences between the running of the W boson mass and the electron mass is that the W boson is a gauge boson, while the electron is a fermion. This means that the W boson mass is affected by the interactions with other particles, while the electron mass is more stable.

To answer your question, the effect on the W boson mass is not as small as it is for the electron, but it is still relatively small compared to the overall mass of the W boson. However, it is an important factor to consider in precision calculations and experiments in particle physics.

I hope this helps and provides some references for further reading. Thank you for your interest in this topic!