Multi-Gluon Scattering in Open Superstring Theory

dc.creatorStieberger, Stephan
dc.creatorTaylor, Tomasz R.
dc.date2006-09-25
dc.date2006-10-06
dc.date.accessioned2026-07-07T11:27:44Z
dc.date.available2026-07-07T11:27:44Z
dc.descriptionWe discuss the amplitudes describing N-gluon scattering in type I superstring theory, on a disk world-sheet. After reviewing the general structure of amplitudes and the complications created by the presence of a large number of vertices at the boundary, we focus on the most promising case of maximally helicity violating (MHV) configurations because in this case, the zero Regge slope limit (alpha' -> 0) is particularly simple. We obtain the full-fledged MHV disk amplitudes for N=4,5 and N=6 gluons, expressed in terms of one, two and six functions of kinematic invariants, respectively. These functions represent certain boundary integrals - generalized Euler integrals - which for N>= 6 correspond to multiple hypergeometric series (generalized Kampe de Feriet functions). Their alpha'-expansions lead to Euler-Zagier sums. For arbitrary N, we show that the leading string corrections to the Yang-Mills amplitude, of order O(alpha'^2), originate from the well-known alpha'^2 Tr F^4 effective interactions of four gauge field strength tensors. By using iteration based on the soft gluon limit, we derive a simple formula valid to that order for arbitrary N. We argue that such a procedure can be extended to all orders in alpha'. If nature gracefully picked a sufficiently low string mass scale, our results would be important for studying string effects in multi-jet production at the Large Hadron Collider (LHC).
dc.description34 pages, REVTeX, 2 figs
dc.identifierhttps://arxiv.org/abs/hep-th/0609175
dc.identifierhttp://arxiv.org/abs/hep-th/0609175
dc.identifierPhys.Rev.D74:126007,2006
dc.identifierdoi:10.1103/PhysRevD.74.126007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/196233
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectNumber Theory
dc.titleMulti-Gluon Scattering in Open Superstring Theory
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