Thread: Does a Higs Boson particle have mass ?

1. Does it ? If the answer is yes then where did it get it from ?

2.

3. Yes. It got it from its Catholic parents.

4. Originally Posted by laza
Does it ? If the answer is yes then where did it get it from ?
Yes, it does.

5. Originally Posted by laza
Does it ? If the answer is yes then where did it get it from ?
The Higgs boson has mass because it is self-interacting; that means that it gets its mass via the Higgs mechanism, like all other massive particles. This may at first glance appear to be circular reasoning, but it really isn't - it can be made mathematically and physically precise. The details are quite complicated, though.

6. One can visualize the Higgs-particle potential is being like a bowl with a hump in the middle. The particle's lowest state is in the trough around the hump.

The math of it is fairly simple, however, at least if one knows calculus. The Higgs particle's potential energy is

for real-valued Higgs-particle field φ. For overall stability, its self-interaction coefficient V4 > 0.

Let's see where it is a minimum. We take dV(φ)/dφ = 0:

This has a trivial solution, φ = 0, with V(φ) = 0. If V2 >= 0, it has only that solution, while if V2 < 0, it has an additional one:

with

Thus, for V2 < 0, the nonzero solution is stable.

Expanding V(φ) in a series,

The term in (φ - φ0)2 is a mass term, and it has the appropriate sign for one.

So the Higgs particle's mass gets modified by its self-interaction. Its nonzero value means that it is, in a sense, always present, and its interactions with other particles thus become masses for those particles.

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