AMBRE

AMBRE - a Mathematica package for the construction of Mellin-Barnes representations for Feynman integrals The Mathematica toolkit AMBRE derives Mellin-Barnes (MB) representations for Feynman integrals in d=4-2ϵ dimensions. It may be applied for tadpoles as well as for multi-leg multi-loop scalar and tensor integrals. The package uses a loop-by-loop approach and aims at lowest dimensions of the final MB representations. The present version works fine for planar Feynman diagrams. The output may be further processed by the package MB for the determination of its singularity structure in ϵ. The AMBRE package contains various sample applications for Feynman integrals with up to six external particles and up to four loops (Source: http://cpc.cs.qub.ac.uk/summaries/)


References in zbMATH (referenced in 18 articles , 1 standard article )

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  1. Boels, Rutger H.; Kniehl, Bernd A.; Yang, Gang: Master integrals for the four-loop Sudakov form factor (2016)
  2. Chen, Long-Bin; Qiao, Cong-Feng: Two-loop QCD corrections to $B_c$ meson leptonic decays (2015)
  3. Ablinger, J.; Blümlein, J.; De Freitas, A.; Hasselhuhn, A.; von Manteuffel, A.; Round, M.; Schneider, C.: The $O(\alpha_s^3 T_F^2)$ contributions to the gluonic operator matrix element (2014)
  4. Mauri, Andrea; Santambrogio, Alberto; Scoleri, Stefano: The leading-order dressing phase in ABJM theory (2013)
  5. Somogyi, Gábor: A subtraction scheme for computing QCD jet cross sections at NNLO: integrating the doubly unresolved subtraction terms (2013)
  6. Brandhuber, Andreas; Travaglini, Gabriele; Yang, Gang: Analytic two-loop form factors in $ \mathcalN = 4 $ SYM (2012)
  7. Bolzoni, Paolo; Somogyi, Gábor; Trócsányi, Zoltán: A subtraction scheme for computing QCD jet cross sections at NNLO: integrating the iterated singly-unresolved subtraction terms (2011)
  8. Alday, Luis F.; Henn, Johannes; Plefka, Jan; Schuster, Theodor: Scattering into the fifth dimension of $\mathcalN = 4$ super Yang-Mills (2010)
  9. Bak, Dongsu; Min, Hyunsoo; Rey, Soo-Jong: Generalized dynamical spin chain and 4-loop integrability in $\cal N=6$ superconformal Chern-Simons theory (2010)
  10. Beneke, M.; Huber, T.; Li, Xin-Qiang: NNLO vertex corrections to non-leptonic B decays: tree amplitudes (2010)
  11. Bytev, Vladimir V.; Kalmykov, Mikhail Yu.; Kniehl, Bernd A.: Differential reduction of generalized hypergeometric functions from Feynman diagrams: one-variable case (2010)
  12. Henn, Johannes M.; Naculich, Stephen G.; Schnitzer, Howard J.; Spradlin, Marcus: Higgs-regularized three-loop four-gluon amplitude in $ \mathcalN = 4 $ SYM: exponentiation and Regge limits (2010)
  13. Beneke, M.; Huber, T.; Li, Xin-Qiang: Two-loop QCD correction to differential semi-leptonic $b \rightarrow u$ decays in the shape-function region (2009)
  14. Smirnov, A.V.; Smirnov, V.A.: On the resolution of singularities of multiple Mellin-Barnes integrals (2009)
  15. Weinzierl, Stefan: Feynman integrals and multiple polylogarithms (2009)
  16. Huber, Tobias; Ma{^i}tre, Daniel: Hypexp 2, expanding hypergeometric functions about half-integer parameters (2008)
  17. Gluza, J.; Kajda, K.; Riemann, T.: AMBRE - a Mathematica package for the construction of Mellin-Barnes representations for Feynman integrals (2007)
  18. Guin-Duclosson, Nathalie; Jean-Daubias, Stéphanie; Nogry, Sandra: The Ambre ILE: How to use case-based reasoning to teach methods (2002)