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Two-loop relevant parts ofD-dimensional massive scalar one-loop integrals

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Zeitschrift für Physik C Particles and Fields

Abstract

The calculation of two-loop Feynman integrals within the dimensional regularization scheme requires the knowledge of scalar one-loop integrals up to the linear term inD-4. We give the corresponding explicit expressions in terms of polylogarithms for the general one-, two-and three-point function and for a special case of the fourpoint function needed for vertex corrections. Our results are valid in all kinematical regions for real masses and momenta.

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References

  1. G. Passarino, M. Veltman: Nucl. Phys. B 160 (1979) 151

    Google Scholar 

  2. G. 't Hooft, M. Veltman: Nucl. Phys. B 153 (1979) 365

    Google Scholar 

  3. A. Denner, U. Nierste, R. Scharf: Nucl. Phys. B 367 (1991) 637

    Google Scholar 

  4. D.B. Melrose: Nuovo Cimento 40 A (1965) 181; W.L.v. Neerven, J.A.M. Vermaseren: Phys. Lett. B137 (1984) 241

    Google Scholar 

  5. J. Küblbeck, M. Böhm, A. Denner: Comp. Phys. Commun. 60 (1990) 165

    Google Scholar 

  6. R. Mertig, M. Böhm, A. Denner: Comp. Phys. Commun. 64 (1991) 345

    Google Scholar 

  7. R. Mertig, R. Scharf, G. Weiglein: (to be published)

  8. R. Scharf: Diplomarbeit (Würzburg 1991, to be published)

  9. D.J. Broadhurst: Z. Phys. C 47 (1990) 115; D.J. Broadhrst: Phys. Lett. 101B (1981) 423

    Google Scholar 

  10. A. Djouadi: Nuovo Cimento 100 A (1988) 357

    Google Scholar 

  11. D. Kreimer: Phys. Lett. B 273 (1991) 277; D. Kreimer (to be published); The results are also contained in: D. Kreimer: Dissertation Univ. Mainz 1992

    Google Scholar 

  12. L. Lewin: Polylogarithms and associated functions. New York: North Holland 1981

    Google Scholar 

  13. I.S. Gradshteyn, J.M. Ryshik: Table of integrals, series and products. Orlando: Academic Press 1980

    Google Scholar 

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Author notes

  1. U. Nierste

    Present address: Physik-Dept., TU München, James-Franck-Str. 35, W-8046, Garching, Germany

Authors and Affiliations

  1. Physikalisches Institut der Universität Würzburg, Am Hubland, W-8700, Würzburg, Germany

    U. Nierste, D. Müller & M. Böhm

Authors
  1. U. Nierste
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  2. D. Müller
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  3. M. Böhm
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Nierste, U., Müller, D. & Böhm, M. Two-loop relevant parts ofD-dimensional massive scalar one-loop integrals. Z. Phys. C - Particles and Fields 57, 605–613 (1993). https://doi.org/10.1007/BF01561479

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  • DOI: https://doi.org/10.1007/BF01561479

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