Software package MBnumericsv2 (28 Feb 2017 and later)

Copyright 2015-2021 Johann Usovitsch
The software package MBnumericsv2 is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License,
CC-BY, https://creativecommons.org/licenses/by/4.0/

When using MBnumericsv2, please refer to:
(1)
J. Usovitsch, PhD thesis (2018, Humboldt University of Berlin)
"Numerical evaluation of Mellin-Barnes integrals in Minkowskian regions and their application to two-loop bosonic electroweak contributions to the weak mixing angle of the Zbb(bar)-vertex"
(2) M. Czakon, software package MB, "Automatized analytic continuation of Mellin-Barnes integrals", CPC 175 (2006) 559
(3) Dubovyk, Ievgen and Freitas, Ayres and Gluza, Janusz and Riemann, Tord and Usovitsch, Johann, "The two-loop electroweak bosonic corrections to $\sin^2\theta^\mbox{b}_\mbox{eff}$", PLB 762 (2016) 184.

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Auxiliary data:

https://edoc.hu-berlin.de/handle/18452/20256
https://edoc.hu-berlin.de/bitstream/handle/18452/20256/dissertation_usovitsch_johann.pdf?sequence=8&isAllowed=y
https://doi.org/10.18452/19484
<a href="https://doi.org/10.18452/19484">https://doi.org/10.18452/19484</a>

@article{Czakon:2005rk,
    author = "Czakon, M.",
    title = "{Automatized analytic continuation of Mellin-Barnes integrals}",
    eprint = "hep-ph/0511200",
    archivePrefix = "arXiv",
    reportNumber = "WUE-ITP-2005-014",
    doi = "10.1016/j.cpc.2006.07.002",
    journal = "Comput. Phys. Commun.",
    volume = "175",
    pages = "559--571",
    year = "2006"
}

PLB 2016:
@article{Dubovyk:2016aqv,
    author = "Dubovyk, Ievgen and Freitas, Ayres and Gluza, Janusz and Riemann, Tord and Usovitsch, Johann",
    title = "{The two-loop electroweak bosonic corrections to $\sin^2\theta^\mbox{b}_\mbox{eff}$}",
    eprint = "1607.08375",
    archivePrefix = "arXiv",
    primaryClass = "hep-ph",
    reportNumber = "DESY-16-119, KW-16-002",
    doi = "10.1016/j.physletb.2016.09.012",
    journal = "Phys. Lett. B",
    volume = "762",
    pages = "184--189",
    year = "2016"
}

========================================================================================================
Auxiliary references for using MBnumerics together with AMBRE:

Original publication:
@article{Gluza:2007rt,
    author = "Gluza, J. and Kajda, K. and Riemann, T.",
    title = "{AMBRE: A Mathematica package for the construction of Mellin-Barnes representations for Feynman integrals}",
    eprint = "0704.2423",
    archivePrefix = "arXiv",
    primaryClass = "hep-ph",
    reportNumber = "DESY-07-037, HEPTOOLS-07-009, SFB-CPP-07-14",
    doi = "10.1016/j.cpc.2007.07.001",
    journal = "Comput. Phys. Commun.",
    volume = "177",
    pages = "879--893",
    year = "2007"
}

Talk at LL2016:
@article{Dubovyk:2016ocz,
    author = "Dubovyk, Ievgen and Gluza, Janusz and Riemann, Tord and Usovitsch, Johann",
    title = "{Numerical integration of massive two-loop Mellin-Barnes integrals in Minkowskian regions}",
    eprint = "1607.07538",
    archivePrefix = "arXiv",
    primaryClass = "hep-ph",
    reportNumber = "DESY-16-120, KW-16-01",
    doi = "10.22323/1.260.0034",
    journal = "PoS",
    volume = "LL2016",
    pages = "034",
    year = "2016"
}

Talk at LL2018:
@article{Usovitsch:2018shx,
    author = "Usovitsch, Johann and Dubovyk, Ievgen and Riemann, Tord",
    title = "{MBnumerics: Numerical integration of Mellin-Barnes integrals in physical regions}",
    eprint = "1810.04580",
    archivePrefix = "arXiv",
    primaryClass = "hep-ph",
    reportNumber = "DESY 18-121, DESY-18-121, KW 18-008",
    doi = "10.22323/1.303.0046",
    journal = "PoS",
    volume = "LL2018",
    pages = "046",
    year = "2018"
}

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Auxiliary references for using MBnumerics in the calculation of complete massive electroweak 2-loop corrections to the Z boson decay width:

JHEP 2019:
@article{Dubovyk:2019szj,
    author = "Dubovyk, Ievgen and Freitas, Ayres and Gluza, Janusz and Riemann, Tord and Usovitsch, Johann",
    title = "{Electroweak pseudo-observables and Z-boson form factors at two-loop accuracy}",
    eprint = "1906.08815",
    archivePrefix = "arXiv",
    primaryClass = "hep-ph",
    reportNumber = "DESY-19-103, DESY 19-103, KW 19-005",
    doi = "10.1007/JHEP08(2019)113",
    journal = "JHEP",
    volume = "08",
    pages = "113",
    year = "2019"
}

PLB 2018:
@article{Dubovyk:2018rlg,
    author = "Dubovyk, Ievgen and Freitas, Ayres and Gluza, Janusz and Riemann, Tord and Usovitsch, Johann",
    title = "{Complete electroweak two-loop corrections to Z boson production and decay}",
    eprint = "1804.10236",
    archivePrefix = "arXiv",
    primaryClass = "hep-ph",
    doi = "10.1016/j.physletb.2018.06.037",
    journal = "Phys. Lett. B",
    volume = "783",
    pages = "86--94",
    year = "2018"
}

PLB 2016:
@article{Dubovyk:2016aqv,
    author = "Dubovyk, Ievgen and Freitas, Ayres and Gluza, Janusz and Riemann, Tord and Usovitsch, Johann",
    title = "{The two-loop electroweak bosonic corrections to $\sin^2\theta^\mbox{b}_\mbox{eff}$}",
    eprint = "1607.08375",
    archivePrefix = "arXiv",
    primaryClass = "hep-ph",
    reportNumber = "DESY-16-119, KW-16-002",
    doi = "10.1016/j.physletb.2016.09.012",
    journal = "Phys. Lett. B",
    volume = "762",
    pages = "184--189",
    year = "2016"
}

%endoffile 2021-01-26 17:07
