Abstract
Landau's work on the singularities of Feynman diagrams suggests that they can only be of three types: either poles, logarithmic divergences, or the roots of quadratic polynomials. On the other hand, many Feynman integrals exist whose singularities involve arbitrarily higher-order polynomial roots. We investigate this apparent paradox using concrete examples involving cube roots and roots of a degree-eight polynomial in four dimensions and roots of a degree-six polynomial in two dimensions and suggest that these higher-order singularities can only be approached via kinematic limits of higher codimension than one, thus evading Landau's argument.
Original language | English (US) |
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Article number | 085021 |
Journal | Physical Review D |
Volume | 108 |
Issue number | 8 |
DOIs | |
State | Published - Oct 15 2023 |
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics