RE: RE: An Alphabet of the Universe? - The Dimensionless Constants
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RE: An Alphabet of the Universe? - The Dimensionless Constants

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5y

This table is interesting...

In particle physics, I tend to think that almost no one uses ratios of particle masses over the Planck scale for the Standard Model inputs. If you take for instance all simulation tools for particle colliders, the masses are inputted in GeV (therefore with some units).

Let's assume we really would like to trade masses for something dimensionless. In this case, I would take their ratio with the Higgs field value in the vacuum (the so-called Higgs vacuum expectation value), and not the Planck scale that is the scale at which the Standard Model is known to break down (assuming that it does not break down at lower energy). However, this is not the best thing to do, as the input values should be those quantities for which the experimental errors are the smallest.