Soft Collinear Degeneracies in an Asymptotically Free Theory. (14th February 2012)

• Record Type: Journal Article
• Authors: Lavelle, Martin; McMullan, David; Steele, Tom
• Other Names: Petkou Anastasios Academic Editor.
• Is Part Of: Advances in high energy physics. Volume 2012(2012)
• Publication Date: 2012-02-14
• Subjects: Particles (Nuclear physics) -- Periodicals; Particles (Nuclear physics); Periodicals; 539.76
• DOI: 10.1155/2012/379736
• Languages: English
• ISSNs: 1687-7357

Abstract

Abstract : 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 scalarϕ 3 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.