Skip to main content

Applications of the Electroweak Theory

  • Chapter
Physics of Neutrinos

Part of the book series: Texts and Monographs in Physics ((TMP))

  • 745 Accesses

Abstract

The weak decay processes known from early times are all described by charged-current interactions. As given in (2.6), the charged current is the sum of leptonic and hadronic currents:

$${J_\mu } = J_{_\mu }^{(l)} + J_{_\mu }^{(h)} $$
((3.1))

, where

$$J_{_\mu }^{(l)} = \overline {{v_e}} {\gamma _\mu }(1 - {\gamma _5}){e^ - } + \overline {{v_\mu }} {\gamma _\mu }(1 - {\gamma _5}){\mu ^ - } + \overline {{v_\tau }} {\gamma _\mu }(1 - {\gamma _5}){\tau ^ - }$$
((3.2))

and

$$J_{_\mu }^{(h)} = (\overline u ,\overline c ,\overline t ){U_q}{\gamma _\mu }(1 - {\gamma _5})(\begin{array}{*{20}{c}} d \\ s \\ b \\ \end{array} ) $$
((3.3))

.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 149.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. This treatment is invalid for relativistic wave functions, which are singular at the origin. More appropriately, the Fermi function is given by the wave functions at the nuclear radius rather than at the origin.

    Google Scholar 

  2. For more accurate correction factors using a numerical solution of the Dirac equation for finite nuclei, see [345].

    Google Scholar 

  3. The authors thank T. Kubota for discussion.

    Google Scholar 

  4. The corrections are identical with those for μ decay, and hence the effects are absorbed into GF. See [403].

    Google Scholar 

  5. For antineutrinos, the background can be efficiently reduced by a coincidence technique using produced neutrons, and hence other methods can be successfully used.

    Google Scholar 

  6. 18O is an exceptional case; the neutrino cross section of 18O is close to 2 × δ (νn )

    Google Scholar 

  7. This is due to a somewhat tricky, but lucky situation. The cross section for the neutrino flux other than B neutrinos is solely determined by the GT(gs), which is well determined. For the B neutrino capture cross section a large change from García et al.’s B(GT) to Trinder et al.’s B(GT) is mostly a redistribution of the GT strengths at low-lying levels. It is fortunate that the first excited level of A is located above the maximum energies of all solar neutrino fluxes other than B neutrinos and that the GT strength to the first excited state is estimated by subtraction from the total decay rate, which is well constrained. The calculation of Kuramoto et al. takes into account the large GT strengths for E > 5 MeV levels, as expected from the (pn) experiment.

    Google Scholar 

  8. See also Butler and Chen [484], who used nucleon-nucleon effective field theory to calculate νd cross sections. In their calculation, however, there is one free parameter (an isovector axial two-body matrix element), and the results agree with those of either Kubodera et al. or Haxton et al. depending on the choice of this parameter. The calculation is limited to a low-energy region > 20 MeV. This contrasts with the earlier conclusion of Ying et al. [482], which is ascribed to an error in their computer code [473,483].

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Fukugita, M., Yanagida, T. (2003). Applications of the Electroweak Theory. In: Physics of Neutrinos. Texts and Monographs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05119-1_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-05119-1_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07851-4

  • Online ISBN: 978-3-662-05119-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics