I recently started using 700x40C tires, after several years of using 700x35C or 700x28C.

Whenever I corner, I have the impression the bike is behaving differently than what I was used to. Especially in fast/narrow corners (90 to 120 degrees turn), I feel like a squeaking sound coming from the engaged side of the tire (think like when one rubs a rubber shoe on the floor), while with the previous bike, mounting narrower tires, I never felt the same.

How does the tire breadth influence cornering of a bike?

Additional info:

 - tires inflated at the high end of their suggested pressure range (75 psi)
 - threaded tire
 - rigid fork
 - paved roads, dry and not dusty
 - approach speed 15 yo 20 km/h