Abstract
We compute the scattering amplitudes of four massless states for chiral (closed) bosonic and type II superstrings using the Kawai-Lewellen-Tye (KLT ) factorization method. The amplitude in the chiral bosonic case is identical to a field theory amplitude corresponding to the spin-2 tachyon, massless gravitational sector and massive spin-2 tardyon states of the spectrum. Chiral type II superstrings amplitude only possess poles associated with the massless gravitational sector. We briefly discuss the extension of the calculation to heterotic superstrings.
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References
F. Cachazo, S. He and E.Y. Yuan, Scattering of massless particles in arbitrary dimensions, Phys. Rev. Lett. 113 (2014) 171601 [arXiv:1307.2199] [INSPIRE].
F. Cachazo, S. He and E.Y. Yuan, Scattering of massless particles: scalars, gluons and gravitons, JHEP 07 (2014) 033 [arXiv:1309.0885] [INSPIRE].
F. Cachazo, S. He and E.Y. Yuan, Einstein- Yang-Mills scattering amplitudes from scattering equations, JHEP 01 (2015) 121 [arXiv:1409.8256] [INSPIRE].
F. Cachazo, S. He and E.Y. Yuan, Scattering equations and matrices: from Einstein to Yang-Mills, DBI and NLSM, JHEP 07 (2015) 149 [arXiv:1412.3479] [INSPIRE].
D.J. Gross and P.F. Mende, The high-energy behavior of string scattering amplitudes, Phys. Lett. B 197 (1987) 129 [INSPIRE].
N.E.J. Bjerrum-Bohr, P.H. Damgaard, P. Tourkine and P. Vanhove, Scattering equations and string theory amplitudes, Phys. Rev. D 90 (2014) 106002 [arXiv:1403.4553] [INSPIRE].
W. Siegel, Amplitudes for left-handed strings, arXiv:1512.02569 [INSPIRE].
Y.-t. Huang, W. Siegel and E.Y. Yuan, Factorization of chiral string amplitudes, JHEP 09 (2016) 101 [arXiv:1603.02588] [INSPIRE].
J. Gamboa, C. Ramirez and M. Ruiz-Altaba, Quantum null (super)strings, Phys. Lett. B 225 (1989) 335 [INSPIRE].
S. Hwang, R. Marnelius and P. Saltsidis, A general BRST approach to string theories with zeta function regularizations, J. Math. Phys. 40 (1999) 4639 [hep-th/9804003] [INSPIRE].
L. Mason and D. Skinner, Ambitwistor strings and the scattering equations, JHEP 07 (2014) 048 [arXiv:1311.2564] [INSPIRE].
E. Casali and P. Tourkine, On the null origin of the ambitwistor string, JHEP 11 (2016) 036 [arXiv:1606.05636] [INSPIRE].
H. Kawai, D.C. Lewellen and S.H.H. Tye, A relation between tree amplitudes of closed and open strings, Nucl. Phys. B 269 (1986) 1 [INSPIRE].
K. Hinterbichler, Theoretical aspects of massive gravity, Rev. Mod. Phys. 84 (2012) 671 [arXiv:1105.3735] [INSPIRE].
M.A. Virasoro, Subsidiary conditions and ghosts in dual resonance models, Phys. Rev. D 1 (1970) 2933 [INSPIRE].
G. Veneziano, An introduction to dual models of strong interactions and their physical motivation, Phys. Rep. 9 (1974) 199.
E. Del Giudice, P. Di Vecchia and S. Fubini, General properties of the dual resonance model, Annals Phys. 70 (1972) 378 [INSPIRE].
R.C. Brower, Spectrum generating algebra and no ghost theorem for the dual model, Phys. Rev. D 6 (1972) 1655 [INSPIRE].
P. Goddard and C.B. Thorn, Compatibility of the dual Pomeron with unitarity and the absence of ghosts in the dual resonance model, Phys. Lett. B 40 (1972) 235.
P. Frampton, O(n) relations for coupling constants and space-time dimensions in dual models, Phys. Lett. B 41 (1972) 364.
O. Hohm, W. Siegel and B. Zwiebach, Doubled α ′ -geometry, JHEP 02 (2014) 065 [arXiv:1306.2970] [INSPIRE].
O. Hohm, U. Naseer and B. Zwiebach, On the curious spectrum of duality invariant higher-derivative gravity, JHEP 08 (2016) 173 [arXiv:1607.01784] [INSPIRE].
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ArXiv ePrint: 1610.02052
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Leite, M.M., Siegel, W. Chiral closed strings: four massless states scattering amplitude. J. High Energ. Phys. 2017, 57 (2017). https://doi.org/10.1007/JHEP01(2017)057
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DOI: https://doi.org/10.1007/JHEP01(2017)057