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Soft Collinear Degeneracies in an Asymptotically Free Theory
Author(s) -
Martin Lavelle,
David McMullan,
T. G. Steele
Publication year - 2012
Publication title -
advances in high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.59
H-Index - 49
eISSN - 1687-7365
pISSN - 1687-7357
DOI - 10.1155/2012/379736
Subject(s) - degenerate energy levels , physics , scalar (mathematics) , perturbation theory (quantum mechanics) , mathematical physics , gauge theory , quantum mechanics , geometry , mathematics
In asymptotically free theories with collinear divergences it is sometimes claimed that these divergences are cancelled if one sums over initial and final state degenerate cross-sections and uses an off-shell renormalisation scheme. We show for scalar ϕ3 theory in six dimensions that there are further classes of soft collinear divergences and that they are not cancelled. Furthermore, they yield a nonconvergent series of terms at a fixed order of perturbation theory. Similar effects in gauge theories are also summarised

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