What is a mass independent renormalization scheme

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SUMMARY

A mass-independent renormalization scheme refers to a framework where counter-terms used to cancel infinities do not depend on the mass of the particle. Specifically, this means that in schemes like dimensional regularization, the counter-terms do not include the particle mass 'm' or terms such as log(m/μ), which would introduce mass dependence. The MS (Minimal Subtraction) and MS-bar schemes are confirmed to be mass-independent renormalization schemes, as they do not incorporate mass terms in their counter-terms.

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  • Understanding of renormalization in quantum field theory
  • Familiarity with dimensional regularization techniques
  • Knowledge of counter-terms and their role in canceling infinities
  • Basic concepts of mass dependence in quantum field theories
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The discussion is beneficial for theoretical physicists, quantum field theorists, and advanced students studying renormalization techniques and their applications in particle physics.

RedX
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What is it meant by "mass-independent renormalization scheme"?

Does it mean that the counter-terms that cancel the infinities do not have dimensions of mass? In this case, any regularization scheme not involving the cutoff method, such as dimensional regularization?

Or does it mean that none of the counter-terms contain the mass 'm' of the particle?
So that even in dimensional regularization scheme, when canceling the pole, you could also decide to also cancel a term like log(m/\mu), which would make this mass-dependent?

Is MS (or MS-bar) a mass-independent renormalization scheme?
 
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RedX said:
Or does it mean that none of the counter-terms contain the mass 'm' of the particle?
So that even in dimensional regularization scheme, when canceling the pole, you could also decide to also cancel a term like log(m/\mu), which would make this mass-dependent?
Yes.
RedX said:
Is MS (or MS-bar) a mass-independent renormalization scheme?
Yes.
 

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