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Volumn 55, Issue 3, 1997, Pages 1533-1547

Test of the Goldstone-boson approximation with fermions

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EID: 0542421854     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.55.1533     Document Type: Article
Times cited : (3)

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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
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    • For an unstable fermion, we will use a definition analogous to that used for the Higgs boson 38
    • 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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