MBresolve

On the resolution of singularities of multiple Mellin-Barnes integrals. One of the two existing strategies of resolving singularities of multifold Mellin-Barnes integrals in the dimensional regularization parameter, or a parameter of the analytic regularization, is formulated in a modified form. The corresponding algorithm is implemented as a Mathematica code MBresolve.m.


References in zbMATH (referenced in 14 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. Bianchi, Marco S.; Leoni, Matias: On the ABJM four-point amplitude at three loops and BDS exponentiation (2014)
  3. Anzai, C.; Sumino, Y.: Algorithms to evaluate multiple sums for loop computations (2013)
  4. Jantzen, Bernd: New proofs for the two Barnes lemmas and an additional lemma (2013)
  5. Somogyi, Gábor: A subtraction scheme for computing QCD jet cross sections at NNLO: integrating the doubly unresolved subtraction terms (2013)
  6. Lee, R.N.; Smirnov, V.A.: Analytic epsilon expansion of three-loop on-shell master integrals up to four-loop transcendentality weight (2011)
  7. Mastrolia, Pierpaolo; Ossola, Giovanni: On the integrand-reduction method for two-loop scattering amplitudes (2011)
  8. Brandhuber, Andreas; Heslop, Paul; Katsaroumpas, Panagiotis; Nguyen, Dung; Spence, Bill; Spradlin, Marcus; Travaglini, Gabriele: A surprise in the amplitude/Wilson loop duality (2010)
  9. Del Duca, Vittorio; Duhr, Claude; Smirnov, Vladimir A.: An analytic result for the two-loop hexagon Wilson loop in $ \mathcalN = 4 $ SYM (2010)
  10. Del Duca, Vittorio; Duhr, Claude; Smirnov, Vladimir A.: The two-loop hexagon Wilson loop in $\mathcalN=4$ SYM (2010)
  11. Del Duca, Vittorio; Duhr, Claude; Smirnov, Vladimir A.: A two-loop octagon Wilson loop in $\mathcalN = 4$ SYM (2010)
  12. Henn, Johannes M.; Naculich, Stephen G.; Schnitzer, Howard J.; Spradlin, Marcus: More loops and legs in Higgs-regulated $\mathcalN = 4$ SYM amplitudes (2010)
  13. Lee, R.N.; Smirnov, A.V.; Smirnov, V.A.: Analytic results for massless three-loop form factors (2010)
  14. Smirnov, A.V.; Smirnov, V.A.: On the resolution of singularities of multiple Mellin-Barnes integrals (2009)