Multi-Gluon Scattering in Open Superstring Theory
Sep, 200633 pages
Published in:
- Phys.Rev.D 74 (2006) 126007
e-Print:
- hep-th/0609175 [hep-th]
Report number:
- LMU-ASC-50-06
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Abstract:
We 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).Note:
- 34 pages, REVTeX, 2 figs Report-no: LMU-ASC 50/06 Subj-class: High Energy Physics - Theory: Number Theory Journal-ref: Phys. Rev. D 74, 126007 (2006)
- 12.38.Bx
- 11.30.Pb
- 11.25.Wx
- string model
- superstring
- scattering amplitude: multigluon
- helicity: violation
- supersymmetry
- string: open
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