Vanadium 50 said:I believe there is an infinite number of such groups: SU(n) breaks to SU(n - 2) x SU(2) x U(1). So, for example, SU(8) will break to SU(3) x SU(3) x SU(2) x U(1).
Orodruin said:I do not think you can find a complete list of posibilities. What you need is a scalar transforming under a representation of the unified group that, when the larger symmetry group is broken, contains an irrep transforming like the SM Higgs under the SM gauge groups, i.e., colourless SU(2) doublet with appropriate hypercharge.
Vanadium 50 said:I don't know what "other stuff" you are talking about. Or how this relates to the original question.
Vanadium 50 said:I don't know what "other stuff" you are talking about. Or how this relates to the original question.
That would depend on the BSM theory.jtlz said:By the way. In BSM. What other field has nonzero VeV at low energy (MeV scale)?
Orodruin said:That would depend on the BSM theory.
Orodruin said:Essentially any theory with a larger symmetry group than the SM one. The typical thing is to break it down to the SM groups through a vev of a scalar field in some representation.
No this is wrong. The point with a higher symmetry group that is broken at low energies is exactly that. This is true of the SM gauge group as well. At low energies the remaining symmetry of the electroweak group is the EM U(1). In the same way you must break the higher symmetry before you get to low energies. A theory in itself does not ”have an energy”.jtlz said:But any theory with a larger symmetry group than the SM one will have very high energy (GUT scale).. here the vev is zero.
Orodruin said:No this is wrong. The point with a higher symmetry group that is broken at low energies is exactly that. This is true of the SM gauge group as well. At low energies the remaining symmetry of the electroweak group is the EM U(1). In the same way you must break the higher symmetry before you get to low energies. A theory in itself does not ”have an energy”.
Orodruin said:No this is wrong. The point with a higher symmetry group that is broken at low energies is exactly that. This is true of the SM gauge group as well. At low energies the remaining symmetry of the electroweak group is the EM U(1). In the same way you must break the higher symmetry before you get to low energies. A theory in itself does not ”have an energy”.
The Higgs symmetry group, also known as the Higgs mechanism, is a theoretical concept in particle physics that explains the origin of mass in certain elementary particles. It involves the spontaneous breaking of a fundamental symmetry in the universe, known as the electroweak symmetry, which gives rise to the Higgs field.
The Higgs symmetry group is an essential component of the Standard Model of particle physics, which is the most comprehensive theory we have to describe the fundamental particles and forces in the universe. It helps us understand how particles acquire mass and how the forces between them interact.
One way is through the use of a Higgs field, which is a quantum field that permeates the universe and interacts with certain particles to give them mass. Another way is through the discovery of new particles or interactions that could alter the symmetry of the Higgs field, leading to a breakdown of the symmetry group.
Yes, there are many ongoing experimental efforts to study the Higgs symmetry group and its potential breaking. These include experiments at particle accelerators such as the Large Hadron Collider, as well as astrophysical observations and theoretical calculations.
Studying other ways to break the Higgs symmetry group can help us gain a deeper understanding of the fundamental nature of the universe. It could also potentially lead to the discovery of new particles or interactions that could revolutionize our understanding of physics and the universe as a whole.