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Stars as Laboratories for Fundamental Physics - MPP Theory Group

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Neutrinos: The Bottom Line 577<br />

of temperature and lepton number. (Of course, a nonlocal energy transfer<br />

mechanism is already thought to be important <strong>for</strong> reviving the shock<br />

wave in the delayed-explosion scenario.) As far <strong>as</strong> I know, nothing more<br />

quantitative than back-of-the-envelope estimates of this scenario exist<br />

in the literature. There<strong>for</strong>e, alleged bounds of order 10 −12 µ B (Bohr<br />

magneton µ B = e/2m e ) on Dirac-neutrino dipole moments probably<br />

have to be used with some reservation (Sect. 13.8.3). Conversely, such<br />

dipole moments may actually help to explode supernovae.<br />

With regard to the observable neutrino signal, spin and spin-flavor<br />

oscillations both in the SN and in the galactic magnetic field may cause<br />

v<strong>as</strong>t modifications of the ν e fluxes and spectra observable in water Cherenkov<br />

detectors if neutrinos have dipole moments in the ballpark of<br />

10 −12 −10 −14 µ B .<br />

Spin and spin-flavor oscillations can be very important in the early<br />

universe where strong magnetic fields may exist, and where a population<br />

of the r.h. degrees of freedom would accelerate the expansion<br />

rate of the universe. These issues are being investigated in the current<br />

literature; final conclusions do not seem to be available at the present<br />

time. Still, it appears that this effect may well be the most significant<br />

impact of small Dirac neutrino dipole or transition moments anywhere<br />

in nature.<br />

b) Laboratory Limits<br />

Less problematic bounds on neutrino dipole moments arise from laboratory<br />

experiments where one studies the recoil spectrum of electrons<br />

in the reaction ν + e → e + ν ′ where ν ′ can be the same or a different<br />

flavor (Sect. 7.5.1). A sensitivity down to, perhaps, <strong>as</strong> low <strong>as</strong> 10 −11 µ B<br />

can be expected from a current ef<strong>for</strong>t involving reactor neutrinos <strong>as</strong><br />

a source (MUNU experiment). Current limits on dipole or transition<br />

moments are about 2×10 −10 µ B if ν e is involved, and about 7×10 −10 µ B<br />

if ν µ is involved. For transition moments, these limits are subject to<br />

the <strong>as</strong>sumption that there is no cancellation between a magnetic and<br />

an electric dipole scattering amplitude.<br />

c) Huge ν τ Dipole Moments or Millicharges<br />

In principle, the possibility of a large diagonal moment <strong>for</strong> ν τ remains<br />

open <strong>as</strong> it h<strong>as</strong> not been possible to produce a strong ν τ source in the laboratory<br />

so that only extremely crude limits exist on the ν τ -e-scattering<br />

cross section. The globular-cluster µ ν bounds discussed below do not

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