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Stars as Laboratories for Fundamental Physics - MPP Theory Group

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564 Chapter 15<br />

the present author h<strong>as</strong> not been able to develop a clear view of the<br />

precise range of parameters that can be ruled out or ruled in by the<br />

SN 1987A neutrino signal. 97<br />

15.8 Millicharged Particles<br />

It is commonly <strong>as</strong>sumed that all particles have charges in multiples of<br />

1<br />

e (electron charge); notably neutrinos are thought to be electrically<br />

3<br />

neutral. While gauge invariance and anomaly cancellation constraints<br />

pose limits on the possible charge <strong>as</strong>signments in the standard model,<br />

electric charge quantization is not entirely <strong>as</strong>sured. Two of the three<br />

neutrino species may carry small charges if one gives up the <strong>as</strong>sumption<br />

that the three fermion families differ only in the m<strong>as</strong>s of their members<br />

(Tak<strong>as</strong>ugi and Tanaka 1992; Babu and Volk<strong>as</strong> 1992; Foot, Lew,<br />

and Volk<strong>as</strong> 1993). Moreover, if one allows <strong>for</strong> charge nonconservation,<br />

all neutrinos could have small charges (Babu and Mohapatra 1990;<br />

Maruno, Tak<strong>as</strong>ugi, and Tanaka 1991). Finally, the existence of novel<br />

particles with small electric charges is possible and actually motivated<br />

by certain models involving a “mirror sector” where the mirror symmetry<br />

is slightly broken (Holdom 1986; see also Davidson, Campbell, and<br />

Bailey 1991). There<strong>for</strong>e, it is interesting to study the experimental, <strong>as</strong>trophysical,<br />

and cosmological bounds on the existence of particles with<br />

small electric charge. 98<br />

The most severe constraints obtain <strong>for</strong> nonstandard charge <strong>as</strong>signments<br />

in the first family of quarks and leptons. The most modelindependent<br />

charge limit on ν e w<strong>as</strong> derived from the absence of an<br />

anomalous dispersion of the SN 1987A neutrino signal (Sect. 13.3.3)<br />

97 An incomplete list of issues that ought to be considered in a study of majorons<br />

in SNe are the following. If the symmetry is broken within the SN core, a derivative<br />

majoron coupling to neutrinos should be used instead of a pseudoscalar one (Choi<br />

and Santamaria 1990). For light neutrinos, the medium-induced dispersion relation<br />

may dominate the cross section result. Besides the medium-induced processes<br />

ν → νχ, the process χ → νν should be included (Sect. 6.8). The decay of heavy<br />

neutrinos outside of the SN could contribute to the me<strong>as</strong>urable signal. The trapping<br />

of neutrinos and majorons due to reactions with each other should be properly understood<br />

along the lines discussed by Dicus et al. (1989); it is dubious, <strong>for</strong> example,<br />

that a process like χχ → χχ really contributes to the majoron opacity. The effect<br />

of majorons during the infall ph<strong>as</strong>e must be understood, especially the possibility<br />

of early deleptonization.<br />

98 Such studies were per<strong>for</strong>med by Dobroliubov and Ignatiev (1990), Davidson,<br />

Campbell, and Bailey (1991), Babu and Volk<strong>as</strong> (1992), Mohapatra and Nussinov<br />

(1992), and Davidson and Peskin (1994).

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