NEUTRINO CHARGE RADIUS SQUARED INSPIRE search

We report limits on the so-called neutrino charge radius squared. While the straight-forward definition of a neutrino charge radius has been proven to be gauge-dependent and, hence, unphysical (LEE 1977C), there have been recent attempts to define a physically observable neutrino charge radius (BERNABEU 2000 , BERNABEU 2002 ). The issue is still controversial (FUJIKAWA 2003 , BERNABEU 2003 ). A more general interpretation of the experimental results is that they are limits on certain nonstandard contributions to neutrino scattering.

VALUE ($ 10^{-32} $ cm${}^{2}$) CL% DOCUMENT ID TECN  COMMENT
$\bf{-2.1\text{ to }3.3 }$ 90 1
DENIZ
2010
TEXO Reactor ${{\overline{\mathit \nu}}_{{e}}}{{\mathit e}}$
• • • We do not use the following data for averages, fits, limits, etc. • • •
$-0.53\text{ to }0.68 $ 90 2
HIRSCH
2003
${{\mathit \nu}_{{\mu}}}{{\mathit e}}$ scat.
$-8.2\text{ to }9.9 $ 90 3
HIRSCH
2003
anomalous ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \nu}}{{\overline{\mathit \nu}}}{{\mathit \gamma}}$
$-2.97\text{ to }4.14 $ 90 4
AUERBACH
2001
LSND ${{\mathit \nu}_{{e}}}$ ${{\mathit e}}$ $\rightarrow$ ${{\mathit \nu}_{{e}}}{{\mathit e}}$
$-0.6\text{ to }0.6 $ 90
VILAIN
1995B
CHM2 ${{\mathit \nu}_{{\mu}}}{{\mathit e}}$ elastic scat.
$0.9$ $\pm2.7$
ALLEN
1993
CNTR LAMPF ${{\mathit \nu}}$ ${{\mathit e}}$ $\rightarrow$ ${{\mathit \nu}}{{\mathit e}}$
$<2.3$ 95
MOURAO
1992
ASTR HOME/KAM2 ${{\mathit \nu}}$ rates
$<7.3$ 90 5
VIDYAKIN
1992
CNTR Reactor ${{\overline{\mathit \nu}}}$ ${{\mathit e}}$ $\rightarrow$ ${{\overline{\mathit \nu}}}{{\mathit e}}$
$1.1$ $\pm2.3$
ALLEN
1991
CNTR Repl. by ALLEN 1993
$-1.1$ $\pm1.0$ 6
AHRENS
1990
CNTR ${{\mathit \nu}_{{\mu}}}{{\mathit e}}$ elastic scat.
$-0.3$ $\pm1.5$ 6
DORENBOSCH
1989
CHRM ${{\mathit \nu}_{{\mu}}}{{\mathit e}}$ elastic scat.
7
GRIFOLS
1989B
ASTR SN 1987A
1  DENIZ 2010 observe reactor ${{\overline{\mathit \nu}}_{{e}}}{{\mathit e}}$ scattering with recoil kinetic energies $3 - 8$ MeV using CsI(Tl) detectors. The observed rate and spectral shape are consistent with the Standard Model prediction, leading to the reported constraint on ${{\overline{\mathit \nu}}_{{e}}}$ charge radius.
2  Based on analysis of CCFR 98 results. Limit is on $\langle $r${}^{2}_{V}\rangle $ + $\langle $r${}^{2}_{A}\rangle $. The CHARM II and E734 at BNL results are reanalyzed, and weaker bounds on the charge radius squared than previously published are obtained. The NuTeV result is discussed; when tentatively interpreted as ${{\mathit \nu}_{{\mu}}}$ charge radius it implies $\langle $r${}^{2}_{V}\rangle $ + $\langle $r${}^{2}_{A}\rangle $ = ($4.20$ $\pm1.64$) ${\times }$ 10 ${}^{-33}$ cm${}^{2}$.
3  Results of LEP-2 are interpreted as limits on the axial-vector charge radius squared of a Majorana ${{\mathit \nu}_{{\tau}}}$. Slightly weaker limits for both vector and axial-vector charge radius squared are obtained for the Dirac case, and somewhat weaker limits are obtained from the analysis of lower energy data (LEP-1.5 and TRISTAN).
4  AUERBACH 2001 measure ${{\mathit \nu}_{{e}}}{{\mathit e}}$ elastic scattering with LSND detector. The cross section agrees with the Standard Model expectation, including the charge and neutral current interference. The 90$\%$ CL applies to the range shown.
5  VIDYAKIN 1992 limit is from a ${{\mathit e}}{{\overline{\mathit \nu}}}$ elastic scattering experiment. No experimental details are given except for the cross section from which this limit is derived. Signal/noise was 1/10. The limit uses sin$^2\theta _{\mathit W}$ = $0.23$ as input.
6  Result is obtained from reanalysis given in ALLEN 1991 , followed by our reduction to obtain 1$~\sigma $ errors.
7  GRIFOLS 1989B sets a limit of $\langle \mathit r{}^{2}\rangle $ $<~0.2 \times 10^{-32}~$cm${}^{2}$ for right-handed neutrinos.
  References:
DENIZ 2010
PR D81 072001 Measurement of ${{\overline{\mathit \nu}}_{{e}}}{{\mathit e}}$ Scattering Cross Section with a CsI(Ti) Scintillating Crystal Array at the Kuo-Sheng Nuclear Power Reactor
HIRSCH 2003
PR D67 033005 Bounds on the ${{\mathit \nu}_{{\tau}}}$ and ${{\mathit \nu}_{{\mu}}}$ Vector and Axial Vector Charge Radius
AUERBACH 2001
PR D63 112001 Measurement of ${{\mathit \nu}_{{e}}}{{\mathit e}^{-}}$ Elastic Scattering
VILAIN 1995B
PL B345 115 Experimental Study of Electromagnetic Properties of the Muon Neutrino in Neutrino Electron Scattering
ALLEN 1993
PR D47 11 Study of ${{\mathit \nu}_{{e}}}{{\mathit e}^{-}}$ Elastic Scattering at LAMPF
MOURAO 1992
PL B285 364 The Neutrino Electromagnetic Moments and Charge Radius Confront Kamiokande-II and Homestake Experimental Results
VIDYAKIN 1992
JETPL 55 206 Limitations on the Magnetic Moment and Charged Radius of the Electron Antineutrino
ALLEN 1991
PR D43 1 Experimental Bound on the Charge Radius of the Electron Neutrino
AHRENS 1990
PR D41 3297 Determination of Electroweak Parameters from the Elastic Scattering of Muon Neutrinos and Antineutrinos on Electrons
DORENBOSCH 1989
ZPHY C41 567 Experimental Results on Neutrino Electron Scattering
GRIFOLS 1989B
PR D40 3819 Charge Radius of the Neutrino: a Limit from SN1987a
FUJIKAWA 2003
hep-ph/0303188 Comment on BERNABEU 2002 ``Observability of the Neutrino Charge Radius''
BERNABEU 2003
hep-ph/0303202 Reply to the Comment by Fujikawa and Shrock FUJIKAWA 2003 ``On the Observability of the Neutrino Charge Radius''
BERNABEU 2000
PR D62 113012 On the Charge Radius of the Neutrino
BERNABEU 2002
PRL 89 101802 On the Observability of the Neutrino Charge Radius
LEE 1977C
PR D16 1444 Natural Suppression of Symmetry Violation in Gauge Theories: Muon Lepton and Electron Lepton Number Nonconservation