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We follow the convention for an unstable Higgs boson of equating (Formula presented) with the value of (Formula presented) at which the real part of the expression on the right-hand side of Eq. (A7) vanishes for (Formula presented), (Formula presented). (Formula presented), (Formula presented), and (Formula presented) are taken as real. With this definition, (Formula presented) for (Formula presented) with (Formula presented). A definition of (Formula presented) as the complex value of (Formula presented) at which the expression in Eq. (A7) vanishes exactly (i.e., a pole mass in terms of the propagator) requires some changes which we will not discuss here
-
We follow the convention for an unstable Higgs boson of equating (Formula presented) with the value of (Formula presented) at which the real part of the expression on the right-hand side of Eq. (A7) vanishes for (Formula presented), (Formula presented). (Formula presented), (Formula presented), and (Formula presented) are taken as real. With this definition, (Formula presented) for (Formula presented) with (Formula presented). A definition of (Formula presented) as the complex value of (Formula presented) at which the expression in Eq. (A7) vanishes exactly (i.e., a pole mass in terms of the propagator) requires some changes which we will not discuss here.
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52
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85038268369
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For an unstable fermion, we will use a definition analogous to that used for the Higgs boson 38
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For an unstable fermion, we will use a definition analogous to that used for the Higgs boson 38, and define the square of the fermion mass as the vale of (Formula presented) at which the real part of the denominator in Eq. (A13) vanishes. Other definitions are also possible.
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