R. Britto, F. Cachazo, B. Feng, and E. Witten, Direct Proof of the Tree-Level Scattering Amplitude Recursion Relation in Yang-Mills Theory, Physical Review Letters, vol.94, issue.18, p.181602, 2005.
DOI : 10.1103/PhysRevLett.94.181602

Z. Bern, L. J. Dixon, and D. A. Kosower, Bootstrapping multiparton loop amplitudes in QCD, Physical Review D, vol.73, issue.6, p.65013, 2006.
DOI : 10.1103/PhysRevD.73.065013

C. Anastasiou, Z. Bern, L. J. Dixon, and D. A. Kosower, Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory, Physical Review Letters, vol.91, issue.25, p.251602, 2003.
DOI : 10.1103/PhysRevLett.91.251602

F. Cachazo, M. Spradlin, and A. Volovich, Iterative structure within the five-particle two-loop amplitude, Physical Review D, vol.74, issue.4, p.45020, 2006.
DOI : 10.1103/PhysRevD.74.045020

Z. Bern, M. Czakon, D. A. Kosower, R. Roiban, and V. A. Smirnov, Super-Yang-Mills Amplitudes, Physical Review Letters, vol.97, issue.18, p.181601, 2006.
DOI : 10.1103/PhysRevLett.97.181601

URL : https://hal.archives-ouvertes.fr/hal-00165359

Z. Bern, M. Czakon, L. J. Dixon, D. A. Kosower, and V. A. Smirnov, Four-loop planar amplitude and cusp anomalous dimension in maximally supersymmetric Yang-Mills theory, Physical Review D, vol.75, issue.8, p.85010, 2007.
DOI : 10.1103/PhysRevD.75.085010

F. Cachazo, M. Spradlin, and A. Volovich, Yang-Mills theory, Physical Review D, vol.76, issue.10, p.106004, 1903.
DOI : 10.1103/PhysRevD.76.106004

F. Cachazo, M. Spradlin, and A. Volovich, Four-loop cusp anomalous dimension from obstructions, Physical Review D, vol.75, issue.10, p.105011, 2007.
DOI : 10.1103/PhysRevD.75.105011

Z. Bern, J. J. Carrasco, H. Johansson, and D. A. Kosower, Maximally supersymmetric planar Yang-Mills amplitudes at five loops, Physical Review D, vol.76, issue.12, p.125020, 2007.
DOI : 10.1103/PhysRevD.76.125020

J. M. Drummond, J. Henn, G. P. Korchemsky, and E. Sokatchev, Dual superconformal symmetry of scattering amplitudes in super-Yang???Mills theory, Nuclear Physics B, vol.828, issue.1-2, p.317, 2010.
DOI : 10.1016/j.nuclphysb.2009.11.022

URL : https://hal.archives-ouvertes.fr/hal-00295579

T. Bargheer, Y. T. Huang, F. Loebbert, and M. Yamazaki, [arXiv:1407, Phys. Rev. D Nucl. Phys. B, vol.914449, issue.192, p.260046736, 1407.

C. F. Berger, Z. Bern, L. J. Dixon, F. F. Cordero, D. Forde et al., Automated implementation of on-shell methods for one-loop amplitudes, Physical Review D, vol.78, issue.3, p.36003, 2008.
DOI : 10.1103/PhysRevD.78.036003

G. Cullen, N. Greiner, G. Heinrich, G. Luisoni, P. Mastrolia et al., Automated one-loop calculations with GoSam, The European Physical Journal C, vol.0512, issue.206, p.1889, 2012.
DOI : 10.1140/epjc/s10052-012-1889-1

J. M. Henn, Multiloop Integrals in Dimensional Regularization Made Simple, Physical Review Letters, vol.110, issue.25, p.251601, 2013.
DOI : 10.1103/PhysRevLett.110.251601

URL : http://arxiv.org/abs/1304.1806

Z. Bern, L. J. Dixon, and V. A. Smirnov, Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond, Physical Review D, vol.72, issue.8, p.85001, 2005.
DOI : 10.1103/PhysRevD.72.085001

Z. Bern and A. G. Morgan, Massive loop amplitudes from unitarity, Nuclear Physics B, vol.467, issue.3, p.479, 1996.
DOI : 10.1016/0550-3213(96)00078-8

R. Britto, F. Cachazo, and B. Feng, Computing one-loop amplitudes from the holomorphic anomaly of unitarity cuts, Physical Review D, vol.71, issue.2, p.25012, 2005.
DOI : 10.1103/PhysRevD.71.025012

R. Britto, E. Buchbinder, F. Cachazo, and B. Feng, One-loop amplitudes of gluons in supersymmetric QCD, Physical Review D, vol.72, issue.6, p.65012, 2005.
DOI : 10.1103/PhysRevD.72.065012

R. Britto, B. Feng, and P. Mastrolia, Cut-constructible part of QCD amplitudes, Physical Review D, vol.73, issue.10, p.105004, 2006.
DOI : 10.1103/PhysRevD.73.105004

R. Britto, B. Feng, and P. Mastrolia, Closed-form decomposition of one-loop massive amplitudes, Physical Review D, vol.78, issue.2, p.25031, 1989.
DOI : 10.1103/PhysRevD.78.025031

C. F. Berger, Z. Bern, L. J. Dixon, F. F. Cordero, D. Forde et al., Jet Production at Hadron Colliders, Physical Review Letters, vol.102, issue.22, p.222001, 2009.
DOI : 10.1103/PhysRevLett.102.222001

C. F. Berger, -Jet Production at the Large Hadron Collider, Physical Review Letters, vol.106, issue.9, p.92001, 2011.
DOI : 10.1103/PhysRevLett.106.092001

URL : https://hal.archives-ouvertes.fr/halshs-00358017

D. A. Kosower, R. Roiban, and C. Vergu, Six-point next-to-maximally helicity-violating amplitude in maximally supersymmetric Yang-Mills theory, Physical Review D, vol.83, issue.6, p.65018, 2011.
DOI : 10.1103/PhysRevD.83.065018

Z. Bern, C. Boucher-veronneau, and H. Johansson, supergravity amplitudes from gauge theory at one loop, Physical Review D, vol.84, issue.10, p.105035, 1107.
DOI : 10.1103/PhysRevD.84.105035

F. Cachazo, M. Spradlin, and A. Volovich, Leading singularities of the two-loop six-particle maximally helicity violating amplitude, Physical Review D, vol.78, issue.10, p.105022, 2008.
DOI : 10.1103/PhysRevD.78.105022

D. A. Kosower and K. J. Larsen, Maximal unitarity at two loops, Physical Review D, vol.85, issue.4, p.45017, 2012.
DOI : 10.1103/PhysRevD.85.045017

P. Griffiths and J. Harris, Principles of Algebraic Geometry, 1978.
DOI : 10.1002/9781118032527

A. Tsikh, Multidimensional Residues and Their Applications, 1992.

B. V. Shabat, Introduction to complex analysis, part II. Functions of several variables, 1992.

E. Cattani and A. Dickenstein, Solving Polynomial Equations, chapter 1: Introduction to residues and resultants, 2005.

B. Buchberger, An Algorithm for Finding the Basis Elements of the Residue Class Ring of a Zero Dimensional Polynomial Ideal (Ein Algorithmus zum Auffinden der Basiselemente des Restklassenringes nach einem nulldimensionalen Polynomideal, English translation (M. Abramson): J. Symbolic Computation, p.471, 1965.

B. Buchberger, Ein algorithmisches Kriterium f??r die L??sbarkeit eines algebraischen Gleichungssystems, Aequationes Mathematicae, vol.95, issue.3, p.374, 1970.
DOI : 10.1007/BF01844169

W. W. Adams and P. Loustaunau, An Introduction to Gröbner Bases, Graduate Studies in Mathematics, vol.3, 1994.

D. A. Cox, D. Shea, and J. B. Little, Using Algebraic Geometry, Graduate Texts in Mathematics, pp.0-387, 2005.

M. Kreuzer and L. Robbiano, Computational Commutative Algebra I, pp.978-981, 2000.
DOI : 10.1007/978-3-540-70628-1

D. Lichtblau, Practical computations with Gröbner bases

J. Gluza, K. Kajda, and D. A. Kosower, Towards a basis for planar two-loop integrals, Physical Review D, vol.83, issue.4, p.45012, 2011.
DOI : 10.1103/PhysRevD.83.045012

T. Kinoshita, Mass Singularities of Feynman Amplitudes, Journal of Mathematical Physics, vol.3, issue.4, p.650, 1962.
DOI : 10.1063/1.1724268

T. D. Lee and M. Nauenberg, Degenerate Systems and Mass Singularities, Physical Review, vol.133, issue.6B, p.1549, 1964.
DOI : 10.1103/PhysRev.133.B1549

Z. Bern, L. J. Dixon, and D. A. Kosower, One-loop corrections to five-gluon amplitudes, Physical Review Letters, vol.70, issue.18, p.2677, 1993.
DOI : 10.1103/PhysRevLett.70.2677