  We analyze in a model-independent way the potential to probe new physics
using Higgs decay to $\Upsilon \gamma$. The $h \to \Upsilon \gamma$ decay width
is unusually small in the Standard Model because of an accidental cancellation
among the direct and indirect decay diagrams. Thus, any new physics that can
modify the direct or the indirect decay amplitudes disrupts the accidental
Standard Model cancellation and can potentially lead to a relatively large
decay width for $h \to \Upsilon \gamma$. Here, we carry out a detailed
model-independent analysis of the possible new physics that can disrupt this
cancellation. We demonstrate that after taking into account all possible
constraints on Higgs production and decay processes from experimental
measurements, the wrong-sign $h b \bar{b}$ coupling is the only scenario in
which the $h \to \Upsilon \gamma$ decay width can be changed by almost two
orders of magnitude. We conclude that an observation of a significantly
enhanced $h \to \Upsilon \gamma$ decay width at the LHC or any future collider
will be a conclusive evidence of a wrong-sign $h b \bar{b}$ coupling.
