The physical principle of naturalness as articulated by ’tHooft states that a small parameter is natural only when a symmetry is gained as it is set to zero. In the context of quantum field theory, if a bare parameter is unnaturally set to zero, radiative corrections lead to a renormalized non-zero value. Therefore, if we want a small renormalized value without a symmetry, the bare value has to be fine tuned. The apparent violation of this principle in the value of the Higgs mass is known as “the gauge hierarchy problem”. A more dramatic fine tuning problem is that of the cosmological constant.
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