ButtonMinHeight

ButtonMinHeight is an option for ButtonBox which specifies the minimum total height in units of font size that should be allowed for the button.

The default setting ButtonMinHeight->1 forces a button to have a total height which at least accommodates all the characters in the current font.

ButtonMinHeight->0 reduces the total height of a button as much as possible, allowing buttons containing characters such as x and X to be different heights.

See The Mathematica Book: Section 2.8.11.

See also: ButtonMargins, ButtonExpandable, RowMinHeight.