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- W2005889849 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 (${ensuremath{alpha}}^{ensuremath{'}}ensuremath{rightarrow}0$) 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 $Nensuremath{ge}6$ correspond to multiple hypergeometric series (generalized Kamp'e de F'eriet functions). Their ${ensuremath{alpha}}^{ensuremath{'}}$ expansions lead to Euler-Zagier sums. For arbitrary $N$, we show that the leading string corrections to the Yang-Mills amplitude, of order $mathcal{O}({ensuremath{alpha}}^{ensuremath{'}2})$, originate from the well-known ${ensuremath{alpha}}^{ensuremath{'}2}text{ }mathrm{Tr}{F}^{4}$ 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 ${ensuremath{alpha}}^{ensuremath{'}}$. If nature gracefully picked a sufficiently low string mass scale, our results would be important for studying string effects in multijet production at the Large Hadron Collider (LHC)." @default.
- W2005889849 created "2016-06-24" @default.
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- W2005889849 date "2006-12-15" @default.
- W2005889849 modified "2023-10-17" @default.
- W2005889849 title "Multigluon scattering in open superstring theory" @default.
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- W2005889849 doi "https://doi.org/10.1103/physrevd.74.126007" @default.
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