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We compute the master integrals that arise in the calculation of the leading penguin amplitudes in non-leptonic B-decays at two-loop order.
G. Bell, NNLO vertex corrections in charmless hadronic B decays: Real part
1915
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M. Beneke, G. Buchalla, M. Neubert, and C. T. Sachrajda, QCD factorization for B → π π B\to\pi\pi decays: Strong phases and CP violation in the heavy quark limit
1917
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1981
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E. Remiddi, Differential equations for Feynman graph amplitudes
1997
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M. Beneke, G. Buchalla, M. Neubert, and C. T. Sachrajda, QCD factorization for exclusive, nonleptonic B meson decays: General arguments and the case of heavy light final states
2000
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E. Remiddi and J. Vermaseren, Harmonic polylogarithms
2000
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S. Laporta, High precision calculation of multiloop Feynman integrals by difference equations
2000
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M. Beneke, G. Buchalla, M. Neubert, and C. T. Sachrajda, QCD factorization in B → π K , π π B\to\pi K,\pi\pi decays and extraction of Wolfenstein parameters
2001
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C. W. Bauer, A. Frink, and R. Kreckel, Introduction to the GiNaC framework for symbolic computation within the C++ programming language
2002
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H. Asatryan, H. Asatrian, C. Greub, and M. Walker, Calculation of two loop virtual corrections to b → s l + l − b\to s\,l^{+}l^{-} in the standard model
2002
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A. Ghinculov, T. Hurth, G. Isidori, and Y. Yao, The Rare decay B → X ( s ) l + l − B\to X(s)\,l^{+}l^{-} to NNLL precision for arbitrary dilepton invariant mass
2004
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J. Vollinga and S. Weinzierl, Numerical evaluation of multiple polylogarithms
2005
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M. Beneke and S. Jager, Spectator scattering at NLO in non-leptonic b decays: Tree amplitudes
2006
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G. Bell, Higher order QCD corrections in exclusive charmless B decays
2006
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T. Huber and D. Maitre, HypExp: A Mathematica package for expanding hypergeometric functions around integer-valued parameters
2006
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M. Czakon, Automatized analytic continuation of Mellin-Barnes integrals
2006
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N. Kivel, Radiative corrections to hard spectator scattering in B → π π B\to\pi\pi decays
2007
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M. Beneke and S. Jager, Spectator scattering at NLO in non-leptonic B decays: Leading penguin amplitudes
J. Carter and G. Heinrich, SecDec: A general program for sector decomposition
2011
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D. Maitre, Extension of HPL to complex arguments
2012
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J. M. Henn, Multiloop integrals in dimensional regularization made simple
2013
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2013
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J. M. Henn and V. A. Smirnov, Analytic results for two-loop master integrals for Bhabha scattering I
2013
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2007
Cited alongside, same era.
2007
Cited alongside, same era.
V. Pilipp, Hard spectator interactions in B → π π B\to\pi\pi at order α s 2 \alpha_{s}^{2}
2008
Cited alongside, same era.
G. Bell, NNLO vertex corrections in charmless hadronic B decays: Imaginary part
2008
Cited alongside, same era.
T. Huber and D. Maitre, HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters
2008
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2008
Cited alongside, same era.
T. Huber, On a two-loop crossed six-line master integral with two massive lines
2009
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2013
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