A nice example of how science involves faith is a column, Reasonably Effective: Deconstructing a Miracle, published in 2006 in Physics Today. It is by Frank Wilczek who shared the 2004 Nobel Prize in Physics.
He first discusses Eugene Wigner's famous 1960 article, "Unreasonable effectiveness of Mathematics in the Natural Sciences." He then continues:
Acts of faithHe then goes on to discuss supersymmetry in quantum field theory and says how he anticipates the associated elementary particles will be observed in the Large Hadron Collider in the following years (i.e., from 2006). However, it is interesting that ten years later this is not the case. Nevertheless, despite the evidence to the contrary, some physicists still have "faith" that supersymmetry is valid.
Since any answer to a “why” question can be challenged with a further “why,” any reasoned argument must terminate in premises for which no further reason can be offered. At that point we pass, necessarily, from reason to faith. Our present faith in symmetry and locality is grounded in the good experience we’ve had with them so far. At present, I think, we can carry our explanations no deeper.
As good believing scientists we must take our faith seriously—so seriously that we feel compelled to act on it, and thereby to test it.