Retrieving "Electron Positron Annihilation" from the archives
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Asymptotic Freedom (quantum Phenomenon)
Linked via "electron-positron annihilation"
Deep Inelastic Scattering (DIS): Measurements of the structure functions of protons and neutrons showed that the internal constituents (partons) behaved nearly as free, point-like particles when struck by high-energy leptons, inconsistent with older, strongly-interacting models.
Jet Production Rates: In high-energy electron-positron annihilation ($e^+e^- \to \text{hadrons}$), the relative… -
Contact Interaction
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Large Electron Positron Collider (LEP)
During the $\text{LEP}$ program at CERN, searches focused on high-energy electron-positron annihilation into unlike-sign lepton pairs ($e^+e^- \to \mu^+\mu^-$ or $\tau^+\tau^-$) during the $\text{LEP} \text{ II}$ phase. Deviations from the predicted cross-section$), which is dominated by the exchange of the $\text{Z}$ boson and the photon), would signal new physics. The [angular distributio… -
Electroweak Interference
Linked via "electron-positron annihilation"
Theoretical Formalism
The complete amplitude $\mathcal{M}$ for a process, such as electron-positron annihilation into a fermion pair ($f\bar{f}$), can generally be written as the sum of the electromagnetic amplitude ($\mathcal{M}{\gamma}$), the weak amplitude ($\mathcal{M}{Z/W}$), and the interference term ($\mathcal{M}_{\text{int}}$):
$$\mathcal{M} = \mathcal{M}{\gamma} + \mathcal{M}{Z/W} + \mathcal{M}_{\text{int}}$$ -
Gluon
Linked via "electron-positron annihilation"
Jet Formation
The primary evidence for gluons comes from observing particle jets produced in high-energy collisions, particularly in electron-positron annihilation experiments at facilities like DESY's PETRA and later at the LEP collider.
When a high-energy electron and positron annihilate into a virtual photon, which then converts into a quark-antiquark pair ($q\bar{q}$), the resulting colored state must rapidly emit a gluon to satisfy color conservation. This proce… -
Rho Meson
Linked via "electron-positron annihilation"
Experimental Observation and Resonance Width
The $\rho$ meson is not observed as a stable particle but rather as a sharp resonance peak/) in the cross-section/) of high-energy scattering experiments, particularly those involving $\pi\pi$ production or electron-positron annihilation into hadrons at center-of-mass energies/) around $770 \text{ MeV}$.
The precise measurement of the resonance peak/) width …