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What is the definition of short-circuit impedance of a pair of windings on a transformer

The equivalent series impedance Z = R + jX, in ohms, at rated frequency and reference temperature, across the terminals of one winding of a pair, when the terminals of the other winding are short-circuited and further windings, if existing, are open-circuited.

For a three phase transformer the impedance is expressed as phase impedance (equivalent star connection).
In a transformer having a tapped winding, the short-circuit impedance is referred to a particular tapping. Unless otherwise specified the principal tapping applies.
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