The Weak Interactions

2021 ◽  
pp. 348-387
Author(s):  
J. Iliopoulos ◽  
T.N. Tomaras

We present the phenomenology of the weak interactions in a historical perspective, from Fermi’s four-fermion theory to the V−A current×current interaction. The experiments of C.S. Wu, which established parity violation, and M. Goldhaber, which measured the neutrino helicity, are described. We study in turn the leptonic, semi-leptonic and non-leptonic weak interactions. We introduce the concept of the conserved vector current and the partially conserved axial current and show that the latter is the result of spontaneously broken chiral symmetry with the pion the corresponding pseudo-Goldstone boson. We study Gell–Mann’s current algebra and derive the Adler–Weisberger relation. Strangeness changing weak interactions and the Cabibbo theory are described. We present a phenomenological analysis of CP-violation in the neutral kaon system and we end with the intermediate vector boson hypothesis.

1968 ◽  
Vol 21 (2) ◽  
pp. 139 ◽  
Author(s):  
JA Campbell

Two-photon annihilation into a neutrino-antineutrino pair, which is forbidden to the lowest order in the coupling constant for weak interactions if the conventional form of weak interaction is assumed, is permitted at that order if it is supposed that the reaction is carried by a charged intermediate vector boson (W). The rate of loss of energy in stellar evolution through this process is calculated. Evolutionary time scales derived with and without this rate are compared with results from astronomical observations. Comparisons with present data are inconclusive, but further observations and calculations that may give more accurate information concerning the question of the existence of charged W mesons are suggested.


In recent years high energy neutrinos produced at the large accelerators have been used to investigate the properties of weak interactions. As a result we know now that there are at least two kinds of neutrinos, and that an eventual intermediate vector boson is heavier than 2 GeV. In addition, the conventional theory of weak interactions has been tested in a larger domain, and found to be in reasonable agreement with experiment; in particular, strange particle production does not exceed appreciably what is predicted by Cabibbo’s theory, which may be inter­preted as further evidence against the older universal Fermi interaction theory. Thus the situation at this moment is quite satisfactory, as far as the established notions on weak interactions are concerned. We may now ask to what extent high energy neutrino physics may be used as a tool to extend our knowledge of the weak interactions.


A review of the present status of weak interactions with particular reference to the implications of a current-current interaction, the Δ Y /Δ Q rule for currents and the Δ I = ½ rule for non-leptonic transitions.


1993 ◽  
Vol 08 (09) ◽  
pp. 1513-1602 ◽  
Author(s):  
B.Z. KOPELIOVICH ◽  
P. MARAGE

A critical review is given of the main theoretical bases and of the experimental results of neutrino physics at low four-momentum transfer (Q2≤1 GeV 2) and high energy transfer (ν≥a few GeV). The theoretical predictions for the vector current are first presented, using the CVC hypothesis and the hadron dominance model of Piketty and Stodolsky. The predictions for the axial current at very small Q2 values are discussed on the basis of the PCAC hypothesis (Adler’s theorem), and extended for Q2≲1 GeV 2 in the lines of hadron dominance; the structure of the longitudinal component of the axial current is particularly discussed. Experimental data on neutrino and antineutrino interactions on nucleons are reviewed, in particular the total cross sections, which provide good tests of the PCAC hypothesis and of the model of Piketty and Stodolsky; also reviewed are the data on diffractive production of π, ρ and a1 mesons. The observation of shadowing, from the comparison of the total cross sections of neutrinos and antineutrinos on neon and deuterium nuclei, is discussed in detail with emphasis on the predictions of the PCAC hypothesis, in the framework of the Glauber-Gribov model. Finally a review is given of the results on coherent neutrino and antineutrino interactions on atomic nuclei: • π meson production, by charged and neutral currents in several experiments, providing a detailed test of the PCAC hypothesis; • ρ meson production, providing a test of the CVC hypothesis in weak interactions; • a1 meson or nonresonant ρπ system production, allowing the study of the weak axial current structure.


2020 ◽  
Vol 8 (2) ◽  
Author(s):  
Maximilian Ruhdorfer ◽  
Ennio Salvioni ◽  
Andreas Weiler

We study for the first time the collider reach on the derivative Higgs portal, the leading effective interaction that couples a pseudo Nambu-Goldstone boson (pNGB) scalar Dark Matter to the Standard Model. We focus on Dark Matter pair production through an off-shell Higgs boson, which is analyzed in the vector boson fusion channel. A variety of future high-energy lepton colliders as well as hadron colliders are considered, including CLIC, a muon collider, the High-Luminosity and High-Energy versions of the LHC, and FCC-hh. Implications on the parameter space of pNGB Dark Matter are discussed. In addition, we give improved and extended results for the collider reach on the marginal Higgs portal, under the assumption that the new scalars escape the detector, as motivated by a variety of beyond the Standard Model scenarios.


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