On the Mass and Width of the Z-boson and Other Relativistic Quasistable Particles

dc.creatorBohm, Arno R.
dc.creatorHarshman, N. L.
dc.date2000-01-19
dc.date.accessioned2026-07-07T11:34:58Z
dc.date.available2026-07-07T11:34:58Z
dc.descriptionThe ambiguity in the definition for the mass and width of relativistic resonances is discussed, in particular for the case of the Z-boson. This ambiguity can be removed by requiring that a resonance's width $Γ$ (defined by a Breit-Wigner lineshape) and lifetime $τ$ (defined by the exponential law) always and exactly fulfill the relation $Γ= \hbar/τ$. To justify this one needs relativistic Gamow vectors which in turn define the resonance's mass M_R as the real part of the square root $\rm{Re}\sqrt{s_R}$ of the S-matrix pole position s_R. For the Z-boson this means that $M_R \approx M_Z - 26{MeV}$ and $Γ_R \approx Γ_Z-1.2{MeV}$ where M_Z and $Γ_Z$ are the values reported in the particle data tables.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/hep-ph/0001206
dc.identifierhttp://arxiv.org/abs/hep-ph/0001206
dc.identifierNucl.Phys.B581:91-115,2000
dc.identifierdoi:10.1016/S0550-3213(00)00249-2
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/198439
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectQuantum Physics
dc.titleOn the Mass and Width of the Z-boson and Other Relativistic Quasistable Particles
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