Polarization and helicity states

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SUMMARY

In the discussion, it is confirmed that massive bosons, such as the W and Z bosons, possess three polarization states (m_s = 1, 0, -1), while massless bosons, like photons, have only two polarization states (m_s = 1, -1). These polarization states are indeed equivalent to helicity states, with the caveat that helicity for massive particles is not Lorentz invariant. Thus, the W and Z bosons exhibit three helicity states, while the photon has two.

PREREQUISITES
  • Understanding of quantum field theory concepts
  • Familiarity with polarization and helicity in particle physics
  • Knowledge of Lorentz invariance principles
  • Basic grasp of the properties of massive and massless particles
NEXT STEPS
  • Study the implications of Lorentz invariance on helicity states
  • Explore the role of polarization states in quantum electrodynamics
  • Investigate the properties of massive versus massless particles in detail
  • Learn about the mathematical formulation of spin states in quantum mechanics
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This discussion is beneficial for particle physicists, students of quantum field theory, and anyone interested in the properties of bosons and their polarization and helicity states.

JoePhysicsNut
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At the beginning of cpt 9, Griffiths states that massive bosons have three polarization states (m_s = 1, 0, -1), but massless ones have only two (m_s = 1, -1). Are these polarization states the same thing as helicity states? I.e. the W/Z would have 3 helicity states and the photon only 2?
 
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Yes, with the caution that for a massive particle, helicity is not Lorentz invariant. But the number of independent spin states is like you say.
 

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