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Stars as Laboratories for Fundamental Physics - MPP Theory Group

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The Energy-Loss Argument 3<br />

example is the axion (Chapter 14) which arises <strong>as</strong> the Nambu-Goldstone<br />

boson of the Peccei-Quinn symmetry which explains the puzzling absence<br />

of a neutron electric dipole moment, i.e. it explains CP conservation<br />

in strong interactions. The production of axions in stars, like that<br />

of neutrinos, is not impeded by threshold effects.<br />

Clearly, the emission of novel weakly interacting particles or the<br />

emission of neutrinos with novel properties would have a strong impact<br />

on the evolution and properties of stars. Sato and Sato (1975) were<br />

the first to use this “energy-loss argument” to derive bounds on the<br />

coupling strength of a putative low-m<strong>as</strong>s Higgs particle. Following this<br />

lead, the argument h<strong>as</strong> been applied to a great variety of particlephysics<br />

hypotheses, and to a great variety of stars.<br />

In the remainder of this chapter the impact of a novel energy-loss<br />

mechanism on stars will be discussed in simple terms. The main message<br />

will be that the emission of weakly interacting particles usually<br />

leads to a modification of evolutionary time scales. By losing energy in<br />

a new channel, the star effectively burns or cools f<strong>as</strong>ter and thus shines<br />

<strong>for</strong> a shorter time. In the c<strong>as</strong>e of low-m<strong>as</strong>s red giants, however, particle<br />

emission leads to a delay of helium ignition and thus to an extension<br />

of the red-giant ph<strong>as</strong>e. Either way, what needs to be observationally<br />

established is the duration of those ph<strong>as</strong>es of stellar evolution which<br />

are most sensitive to a novel energy-loss mechanism. In Chapter 2 such<br />

evolutionary ph<strong>as</strong>es will be identified, and the observational evidence<br />

<strong>for</strong> their duration will be discussed. In the end one will be able to<br />

state simple criteria <strong>for</strong> the allowed rate of energy loss from pl<strong>as</strong>m<strong>as</strong> at<br />

certain temperatures and densities.<br />

One may be tempted to think that one should consider the hottest<br />

and densest possible stars because no doubt the emission of weakly interacting<br />

particles is most efficient there. However, this emission competes<br />

with standard neutrinos whose production is also more efficient<br />

in hotter and denser objects. Because neutrinos are thermally emitted<br />

in pairs their emission rates involve favorable ph<strong>as</strong>e-space factors which<br />

lead to a temperature dependence which is steeper than that <strong>for</strong> the<br />

emission of, say, axions. Thus, <strong>for</strong> a given axion coupling strength the<br />

relative importance of axion emission is greater <strong>for</strong> lower temperatures.<br />

Of course, the temperatures must not be so low that neither neutrino<br />

nor axion emission is important at all relative to the photon luminosity.<br />

Consequently, the best objects to use are those where neutrinos just<br />

begin to have an observational impact on stellar observables. Examples<br />

are low-m<strong>as</strong>s red giants, horizontal-branch stars, white dwarfs, and<br />

old neutron stars. They all have m<strong>as</strong>ses of around 1 M ⊙ (solar m<strong>as</strong>s).

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