Cargando…
Numerical Evaluation of Harmonic Polylogarithms
Harmonic polylogarithms $\H(\vec{a};x)$, a generalization of Nielsen's polylogarithms ${S}_{n,p}(x)$, appear frequently in analytic calculations of radiative corrections in quantum field theory. We present an algorithm for the numerical evaluation of harmonic polylogarithms of arbitrary real ar...
| Autores principales: | , |
|---|---|
| Lenguaje: | eng |
| Publicado: |
2001
|
| Materias: | |
| Acceso en línea: | https://dx.doi.org/10.1016/S0010-4655(01)00411-8 http://cds.cern.ch/record/509396 |
| _version_ | 1780897467850555392 |
|---|---|
| author | Gehrmann, T. Remiddi, E. |
| author_facet | Gehrmann, T. Remiddi, E. |
| author_sort | Gehrmann, T. |
| collection | CERN |
| description | Harmonic polylogarithms $\H(\vec{a};x)$, a generalization of Nielsen's polylogarithms ${S}_{n,p}(x)$, appear frequently in analytic calculations of radiative corrections in quantum field theory. We present an algorithm for the numerical evaluation of harmonic polylogarithms of arbitrary real argument. This algorithm is implemented into a FORTRAN subroutine hplog to compute harmonic polylogarithms up to weight 4. |
| id | cern-509396 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2001 |
| record_format | invenio |
| spelling | cern-5093962023-10-04T08:58:51Zdoi:10.1016/S0010-4655(01)00411-8http://cds.cern.ch/record/509396engGehrmann, T.Remiddi, E.Numerical Evaluation of Harmonic PolylogarithmsParticle Physics - PhenomenologyHarmonic polylogarithms $\H(\vec{a};x)$, a generalization of Nielsen's polylogarithms ${S}_{n,p}(x)$, appear frequently in analytic calculations of radiative corrections in quantum field theory. We present an algorithm for the numerical evaluation of harmonic polylogarithms of arbitrary real argument. This algorithm is implemented into a FORTRAN subroutine hplog to compute harmonic polylogarithms up to weight 4.Harmonic polylogarithms $\H(\vec{a};x)$, a generalization of Nielsen's polylogarithms ${S}_{n,p}(x)$, appear frequently in analytic calculations of radiative corrections in quantum field theory. We present an algorithm for the numerical evaluation of harmonic polylogarithms of arbitrary real argument. This algorithm is implemented into a {\tt FORTRAN} subroutine {\tt hplog} to compute harmonic polylogarithms up to weight 4.hep-ph/0107173CERN-TH-2001-188CERN-TH-2001-188oai:cds.cern.ch:5093962001-07-16 |
| spellingShingle | Particle Physics - Phenomenology Gehrmann, T. Remiddi, E. Numerical Evaluation of Harmonic Polylogarithms |
| title | Numerical Evaluation of Harmonic Polylogarithms |
| title_full | Numerical Evaluation of Harmonic Polylogarithms |
| title_fullStr | Numerical Evaluation of Harmonic Polylogarithms |
| title_full_unstemmed | Numerical Evaluation of Harmonic Polylogarithms |
| title_short | Numerical Evaluation of Harmonic Polylogarithms |
| title_sort | numerical evaluation of harmonic polylogarithms |
| topic | Particle Physics - Phenomenology |
| url | https://dx.doi.org/10.1016/S0010-4655(01)00411-8 http://cds.cern.ch/record/509396 |
| work_keys_str_mv | AT gehrmannt numericalevaluationofharmonicpolylogarithms AT remiddie numericalevaluationofharmonicpolylogarithms |