Gravity is a by-product of mass curving space-time, and mass is the by-product of particles interacting with the HIggs field.
My question is could there be a correlation between the Higgs field and gravity?

The interaction with the Higgs Field is one way to generate mass. It is not the only mechanism. The mass generated from quark-gluon bounds is responsible for most of the proton and neutron mass, which in turn is considered the main source of gravity. There is an expected correlation between the Higgs Field an gravity in the literal sense: Since some excitations of the Higgs fields are massive they might act as a source of gravity so the two observables "Higgs Field" and "gravity" are expected to be correlated. That's probably not what you were asking, though. It is generally not assumed that the Higgs fields has much to do with explaining quantum gravity. The similarities stop beyond "both somehow deal with mass". Already the expected mathematical structures, the behavior with respect to rotations and the expected relations to other elementary particles are different.

Edited December 28, 201410 yr by timo

Thank you, you've been helpful

The other consideration is that mass is not the only factor in the curvature of space-time.

Energy, although closely related to mass, is another factor.

 

The quark/gluon binding energy that Timo spoke of is a good example.

While the mass of an 'individual' quark is only a couple of percent of a proton/neutron mass, and IS due to Higgs interaction, the other >90% is due solely to the strong force binding energy.

 

I'm not sure if I said it any differently than Timo .