J. J. Carrasco, C. R. Mafra, and O. Schlotterer, Abelian Z-theory: NLSM amplitudes and alpha'-corrections from the open string, pp.1608-02569
URL : https://hal.archives-ouvertes.fr/cea-01426644

C. R. Mafra and O. Schlotterer, Non-abelian Z-theory: Berends-Giele recursion for the ?? ???-expansion of disk integrals, Journal of High Energy Physics, vol.876, issue.1, pp.1609-07078
DOI : 10.1007/JHEP01(2017)031

H. Kawai, D. C. Lewellen, and S. H. Tye, A relation between tree amplitudes of closed and open strings, Nuclear Physics B, vol.269, issue.1, pp.269-270, 1986.
DOI : 10.1016/0550-3213(86)90362-7

Z. Bern, J. J. Carrasco, and H. Johansson, New relations for gauge-theory amplitudes, Physical Review D, vol.15, issue.8, p.85011, 2008.
DOI : 10.1103/PhysRevLett.99.041601

URL : http://arxiv.org/abs/0805.3993

F. Cachazo, S. He, and E. Y. Yuan, Scattering equations and Kawai-Lewellen-Tye orthogonality, Physical Review D, vol.90, issue.6, pp.90-2014
DOI : 10.1016/j.physletb.2013.07.012

L. Brink, J. H. Schwarz, and J. Scherk, Supersymmetric Yang-Mills theories, Nuclear Physics B, vol.121, issue.1, pp.121-77, 1977.
DOI : 10.1016/0550-3213(77)90328-5

J. Broedel, O. Schlotterer, and S. Stieberger, Polylogarithms, Multiple Zeta Values and Superstring Amplitudes, Fortsch, Phys, vol.7267, pp.61-812, 2013.
DOI : 10.1002/prop.201300019

URL : http://arxiv.org/abs/1304.7267

C. R. Mafra, O. Schlotterer, and S. Stieberger, Complete N-point superstring disk amplitude I. Pure spinor computation, Nuclear Physics B, vol.873, issue.3, pp.873-2013
DOI : 10.1016/j.nuclphysb.2013.04.023

URL : http://arxiv.org/abs/1106.2645

C. R. Mafra, O. Schlotterer, and S. Stieberger, Complete N-point superstring disk amplitude II. Amplitude and hypergeometric function structure, Nuclear Physics B, vol.873, issue.3, pp.461-513, 2013.
DOI : 10.1016/j.nuclphysb.2013.04.022

URL : http://arxiv.org/abs/1106.2645

Z. Bern, A. De-freitas, and H. L. Wong, Coupling Gravitons to Matter, Physical Review Letters, vol.157, issue.16, pp.hep-th, 2000.
DOI : 10.1103/PhysRevLett.84.3531

URL : http://arxiv.org/abs/hep-th/9912033

F. Cachazo, S. He, and E. Y. Yuan, Scattering of massless particles: scalars, gluons and gravitons, Journal of High Energy Physics, vol.303, issue.7
DOI : 10.1007/JHEP07(2014)033

URL : http://doi.org/10.1007/jhep07(2014)033

J. A. Cronin, Phenomenological model of strong and weak interactions in chiral U(3) x U(3), Phys. Rev, pp.161-1483, 1967.

S. Weinberg, Dynamical Approach to Current Algebra, Physical Review Letters, vol.84, issue.5, pp.188-191, 1967.
DOI : 10.1103/PhysRevLett.18.188

S. Weinberg, Nonlinear Realizations of Chiral Symmetry, Physical Review, vol.46, issue.5, pp.1568-1577, 1968.
DOI : 10.1103/PhysRev.166.1568

L. S. Brown, Field Theory of Chiral Symmetry, Physical Review, vol.156, issue.5, pp.1802-1807, 1967.
DOI : 10.1103/PhysRev.163.1802

P. Chang and F. Gursey, Unified Formulation of Effective Nonlinear Pion-Nucleon Lagrangians, Physical Review, vol.12, issue.5, pp.1752-1761, 1967.
DOI : 10.1103/PhysRev.164.1752

L. Susskind and G. Frye, Algebraic Aspects of Pionic Duality Diagrams, Physical Review D, vol.28, issue.6, pp.1-1682, 1970.
DOI : 10.1103/PhysRevD.1.1682

H. Osborn, Implications of adler zeros for multipion processes, Lettere al Nuovo Cimento, vol.26, issue.15, pp.717-723, 1969.
DOI : 10.1007/BF02755724

J. R. Ellis and B. Renner, On the relationship between chiral and dual models, Nucl. Phys, pp.21-205, 1970.
DOI : 10.1016/0550-3213(70)90515-8

K. Kampf, J. Novotny, and J. Trnka, Tree-level amplitudes in the nonlinear sigma model, Journal of High Energy Physics, vol.09, issue.1
DOI : 10.1007/JHEP05(2013)032

F. Cachazo, P. Cha, and S. Mizera, Extensions of theories from soft limits, Journal of High Energy Physics, vol.07, issue.6, 2016.
DOI : 10.1007/JHEP06(2016)170

F. Cachazo, S. He, and E. Y. Yuan, Scattering of Massless Particles in Arbitrary Dimensions, Physical Review Letters, vol.113, issue.17, 1307.
DOI : 10.1016/0550-3213(86)90362-7

F. Cachazo, S. He, and E. Y. Yuan, Scattering equations and matrices: from Einstein to Yang-Mills, DBI and NLSM, Journal of High Energy Physics, vol.103, issue.7, 2015.
DOI : 10.1007/JHEP07(2015)149

URL : http://doi.org/10.1007/jhep07(2015)149

E. Bergshoeff, F. Coomans, R. Kallosh, C. S. Shahbazi, and A. Van-proeyen, Dirac-Born-Infeld-Volkov-Akulov and deformation of supersymmetry, Journal of High Energy Physics, vol.698, issue.8, 2013.
DOI : 10.1007/JHEP08(2013)100

URL : http://arxiv.org/abs/1303.5662

Z. Bern, J. J. Carrasco, and H. Johansson, Perturbative Quantum Gravity as a Double Copy of Gauge Theory, Physical Review Letters, vol.5, issue.6, p.61602, 2010.
DOI : 10.1088/0034-4885/72/12/126002

S. Ferrara, R. Kallosh, and A. Linde, Cosmology with nilpotent superfields, Journal of High Energy Physics, vol.75, issue.10, 2014.
DOI : 10.1007/JHEP10(2014)143

URL : http://doi.org/10.1007/jhep10(2014)143

S. Ferrara, R. Kallosh, and J. Thaler, Cosmology with orthogonal nilpotent superfields, Physical Review D, vol.59, issue.4, p.93
DOI : 10.1103/PhysRevD.88.085038

URL : http://doi.org/10.1103/physrevd.93.043516

J. J. Carrasco, R. Kallosh, and A. Linde, ??-attractors: Planck, LHC and dark energy, Journal of High Energy Physics, vol.05, issue.10, 2015.
DOI : 10.1007/JHEP10(2015)147

URL : http://doi.org/10.1007/jhep10(2015)147

F. Hasegawa and Y. Yamada, Component action of nilpotent multiplet coupled to matter in 4 dimensional N = 1 $$ \mathcal{N}=1 $$ supergravity, Journal of High Energy Physics, vol.92, issue.10, 2015.
DOI : 10.1007/JHEP10(2015)106

S. M. Kuzenko, Complex linear Goldstino superfield and supergravity, Journal of High Energy Physics, vol.854, issue.10
DOI : 10.1007/JHEP10(2015)006

URL : http://doi.org/10.1007/jhep10(2015)006

S. L. Adler, Consistency Conditions on the Strong Interactions Implied by a Partially Conserved Axial-Vector Current, Physical Review, vol.106, issue.4B, pp.1022-1033, 1965.
DOI : 10.1103/PhysRev.137.B1022

N. Arkani-hamed, F. Cachazo, and J. Kaplan, What is the simplest quantum field theory?, Journal of High Energy Physics, vol.46, issue.9
DOI : 10.1007/JHEP09(2010)016

URL : http://arxiv.org/abs/0808.1446

R. Kallosh, A. Karlsson, and D. Murli, Origin of soft limits from nonlinear supersymmetry in Volkov-Akulov theory, Journal of High Energy Physics, vol.698, issue.3, pp.1609-09127
DOI : 10.1007/JHEP03(2017)081

C. Cheung, K. Kampf, J. Novotny, C. Shen, and J. Trnka, A periodic table of effective field theories, Journal of High Energy Physics, vol.10, issue.2, pp.1611-03137
DOI : 10.1007/JHEP02(2017)020

Y. Du and H. Luo, Leading order multi-soft behaviors of tree amplitudes in NLSM, Journal of High Energy Physics, vol.06, issue.3, pp.1611-07479
DOI : 10.1007/JHEP03(2017)062

N. E. Bjerrum-bohr, P. H. Damgaard, and P. Vanhove, Minimal Basis for Gauge Theory Amplitudes, Physical Review Letters, vol.5, issue.16, p.161602, 2009.
DOI : 10.1088/1126-6708/2008/11/015

URL : https://hal.archives-ouvertes.fr/hal-00403673

S. Stieberger, Open & Closed vs. Pure Open String Disk Amplitudes, pp.907-2211

Y. Chen, Y. Du, and Q. Ma, On Primary Relations at Tree-level in String Theory and Field Theory

C. R. Mafra, Berends-Giele recursion for double-color-ordered amplitudes, Journal of High Energy Physics, vol.48, issue.7
DOI : 10.1007/JHEP07(2016)080

URL : http://doi.org/10.1007/jhep07(2016)080

Z. Bern, L. J. Dixon, M. Perelstein, and J. S. Rozowsky, Multi-leg one-loop gravity amplitudes from gauge theory, Nuclear Physics B, vol.546, issue.1-2, pp.423-479, 1999.
DOI : 10.1016/S0550-3213(99)00029-2

URL : http://arxiv.org/abs/hep-th/9811140

N. E. Bjerrum-bohr, P. H. Damgaard, T. Sondergaard, and P. Vanhove, The momentum kernel of gauge and gravity theories, Journal of High Energy Physics, vol.312, issue.1
DOI : 10.1007/JHEP01(2011)001

URL : https://hal.archives-ouvertes.fr/hal-00529302

R. R. Metsaev, M. Rakhmanov, and A. A. Tseytlin, The born-infeld action as the effective action in the open superstring theory, Physics Letters B, vol.193, issue.2-3, pp.193-207, 1987.
DOI : 10.1016/0370-2693(87)91223-8

O. Schlotterer and S. Stieberger, Motivic multiple zeta values and superstring amplitudes, Journal of Physics A: Mathematical and Theoretical, vol.46, issue.47, 2013.
DOI : 10.1088/1751-8113/46/47/475401

URL : http://arxiv.org/abs/1205.1516

J. Broedel, O. Schlotterer, S. Stieberger, and T. Terasoma, All order ? -expansion of superstring trees from the Drinfeld associator, Phys. Rev, pp.89-2014

V. , D. Duca, L. J. Dixon, and F. Maltoni, New color decompositions for gauge amplitudes at tree and loop level, Nucl. Phys, pp.571-51, 2000.

Y. Du and C. Fu, Explicit BCJ numerators of nonlinear simga model, Journal of High Energy Physics, vol.07, issue.9, 2016.
DOI : 10.1007/JHEP09(2016)174

C. Cheung and C. Shen, Symmetry for Flavor-Kinematics Duality from an Action, Physical Review Letters, vol.118, issue.12, pp.1612-00868
DOI : 10.1007/JHEP06(2016)170

R. Medina, F. T. Brandt, and F. R. Machado, The Open superstring five point amplitude revisited, JHEP, vol.07, p.71, 2002.
DOI : 10.1088/1126-6708/2002/07/071

URL : http://arxiv.org/abs/hep-th/0208121

L. A. Barreiro and R. Medina, 5-field terms in the open superstring effective action, Journal of High Energy Physics, vol.2005, issue.03, 2005.
DOI : 10.1088/1126-6708/2005/03/055

D. Oprisa and S. Stieberger, Six gluon open superstring disk amplitude, multiple hypergeometric series and Euler-Zagier sums, p.509042

S. Stieberger and T. R. Taylor, Multi-Gluon Scattering in Open Superstring Theory, Phys. Rev, vol.74, issue.126007, 2006.
DOI : 10.1103/physrevd.74.126007

URL : http://arxiv.org/abs/hep-th/0609175

R. H. Boels, On the field theory expansion of superstring five point amplitudes, Nuclear Physics B, vol.876, issue.1, pp.215-233, 2013.
DOI : 10.1016/j.nuclphysb.2013.08.009

G. Puhlfuerst and S. Stieberger, Differential equations, associators, and recurrences for amplitudes, Differential Equations, Associators, and Recurrences for Amplitudes, pp.186-245, 2016.
DOI : 10.1016/j.nuclphysb.2015.11.005

K. Aomoto, Special values of hyperlogarithms and linear difference schemes, Illinois J. Math, p.34, 0191.

T. Terasoma, Selberg integrals and multiple zeta values, Compositio Mathematica, vol.133, issue.1, 2002.

F. C. Brown, Multiple zeta values and periods of moduli spaces M 0, Annales Sci. Ecole Norm. Sup, vol.42, issue.371, 2009.

S. Stieberger, Constraints on Tree-Level Higher Order Gravitational Couplings in Superstring Theory, Physical Review Letters, vol.106, issue.11, 2011.
DOI : 10.1088/1126-6708/2008/10/042

J. M. Drummond and E. Ragoucy, Superstring amplitudes and the associator, Journal of High Energy Physics, vol.269, issue.8, 2013.
DOI : 10.1007/JHEP08(2013)135

URL : https://hal.archives-ouvertes.fr/hal-00770496

M. B. Green and M. Gutperle, Symmetry breaking at enhanced symmetry points, Nucl. Phys, B460, vol.9509171, pp.77-108, 1996.
DOI : 10.1016/0550-3213(95)00608-7

URL : http://arxiv.org/abs/hep-th/9509171

S. Stieberger and T. R. Taylor, New relations for Einstein???Yang???Mills amplitudes, Nuclear Physics B, vol.913, pp.151-162, 2016.
DOI : 10.1016/j.nuclphysb.2016.09.014

URL : http://doi.org/10.1016/j.nuclphysb.2016.09.014

D. Nandan, J. Plefka, O. Schlotterer, and C. Wen, Einstein-Yang-Mills from pure Yang-Mills amplitudes, Journal of High Energy Physics, vol.881, issue.10, 2016.
DOI : 10.1007/JHEP10(2016)070

URL : http://doi.org/10.1007/jhep10(2016)070

L. De-la-cruz, A. Kniss, and S. Weinzierl, Relations for Einstein???Yang???Mills amplitudes from the CHY representation, Physics Letters B, vol.767, pp.1607-06036
DOI : 10.1016/j.physletb.2017.01.036

O. Schlotterer, Amplitude relations in heterotic string theory and Einstein-Yang-Mills, Journal of High Energy Physics, vol.443, issue.11
DOI : 10.1007/JHEP11(2016)074

URL : http://doi.org/10.1007/jhep11(2016)074

Y. Du, F. Teng, and Y. Wu, Direct evaluation of n-point single-trace MHV amplitudes in 4d Einstein-Yang-Mills theory using the CHY formalism, Journal of High Energy Physics, vol.903, issue.9, p.9, 2016.
DOI : 10.1007/JHEP09(2016)171

F. Cachazo and H. Gomez, Computation of Contour Integrals on M 0,n, JHEP, vol.04, issue.108, 2016.

C. Cardona, B. Feng, H. Gomez, and R. Huang, Cross-ratio identities and higher-order poles of CHY-integrand, Journal of High Energy Physics, vol.02, issue.9
DOI : 10.1007/JHEP09(2016)133

URL : http://doi.org/10.1007/jhep09(2016)133