The culprit is quantum weirdness, one principle of which is that anything that is not forbidden will happen. That means the Higgs calculation must include the effects of its interactions with all other known particles, including so-called virtual particles that can wink in and out of existence, which shift its mass off the scale.
As a result, if the Standard Model is valid for all energies,... “then you are in deep doodoo trying to explain why the Higgs mass isn’t a quadrillion times bigger than it needs to be.”
From a fascinating, and VERY long, effort to make modern particle physics somewhat intelligible to a lay audience.
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