Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-04-28
Phys.Rev.D82:091301,2010
Physics
High Energy Physics
High Energy Physics - Phenomenology
4 pages, 5 figs
Scientific paper
10.1103/PhysRevD.82.091301
We deal with the problem of assigning electromagnetic moments to a quasi-stable particle (i.e., a particle with mass located at particle's decay threshold). In this case, an application of a small external electromagnetic field changes the energy in a non-analytic way, which makes it difficult to assign definitive moments. On the example of a spin-1/2 field with mass $M_{*}$ interacting with two fields of masses $M$ and $m$, we show how a conventionally defined magnetic dipole moment diverges at $M_{*}=M+m$. We then show that the conventional definition makes sense only when the values of the applied magnetic field $B$ satisfy $|eB|/2M_{*}\ll|M_{*}-M-m|$. We discuss implications of these results to existing studies in electroweak theory, chiral effective-field theory, and lattice QCD.
Ledwig Tim
Pascalutsa Vladimir
Vanderhaeghen Marc
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