It has been predicted and many physicists are banking on it existing, however it has not yet been detected with any reasonable certainty. If it exists, it is expected that the LHC at CERN will find it.
A summary explanation of the Higgs Field is that it is an energy field that is accompanied by the Higgs Boson.
The Higgs field is a hypothetical field which explains mass. It is believed to be interaction with this field which gives particles mass. The photon is a massless particle, so it must not interact with the Higgs field.
The "Higgs Field".
The Higgs Field is present throughout the universe; it has a nonzero value everywhere.
Peter Higgs is credited with first proposing the existence of the Higgs Field, an idea that resulted in a unification of the electro-magnetic force with the weak interaction. Peter did not name the field after himself, that came later.
In modern physics, the Higgs field is a fundamental field that gives particles their mass. The concept of ether, which was once believed to be a medium that filled space, has been largely abandoned in favor of the Higgs field as the explanation for mass in the universe. The Higgs field is a more accepted and scientifically supported concept in contemporary physics.
Presumably the Higgs field.
No. The Higgs Field (and it's particle, the Higgs Boson) are simply part of the explanation for why things have mass. While examine these may help us explain what dark matter is, they are certainly different things.
The Higgs Field has nothing to do with quantum entanglement. Quantum Entanglement is the phenomena that, when a particle decays into two particles, they travel in separate directions. When one particle is observed to be spinning in one direction, then we will immediately know that the other particle is spinning in the opposite direction. However, neither particle is spinning until it is observed, yet the other particle suddenly "decides" which way it is spinning as soon as the first is observed. Particles interacting with the Higgs Field (all of the particles that exist interact with the Higgs Field) simply take on mass, which depends on the strength of the interaction with the field. If a particle decays, then it will decay into a particle-antiparticle pair. Since all particles and their antiparticle counterparts have the same mass, there is no entanglement.
Quarks are point-like particles found mainly in baryons, mesons etc. The Higgs boson is a primary particle produced when the higgs field is excited
A Higgs boson field is simply a medium of Higgs bosons with which other particles pass through and interact. The Higgs boson field is believed to be what gives some particles their mass, though the existence of Higgs bosons has yet to be proven.
*IF* the Higgs Field gives an explanation for why some particles have mass and others don't, and *IF* the Higgs Boson is a part of this field; then the discovery of the Higgs Boson would be a major breakthrough in supporting the Higgs Field, and thus the continued use of "The Standard Model." If it is NOT found, then scientists are almsot back to the drawing board. Because of these facts, the Higgs Boson is called, completely erroneously, the particle that creates mass or (worse) the "God Particle." Even the person who first used that term to describe the Higgs Boson hates the use of it. As of this week, scientists at CERN predict that the existence of the Higgs Boson will be known within a year.