Reductions and Contractions of 1-loop Tensor Feynman Integrals

Dubovyk, Ievgen; Gluza, J.; Almasy, Andrea A.; Riemann, Tord

doi:10.5506/aphyspolb.44.2241

Cited by 2 publications

(3 citation statements)

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“…Basic ideas have been formulated in [89,90,91], and the approach has been worked out in all necessary details and numerical and algebraic tools were created in recent years [92, 93, 94, 95, 88, 96, 97, 98, 99, 100, 101, 99, 102, Figure 13: The one-loop n point function. 97,103,104,72]. The project is competitive with other tools like [105,106,107,108].…”

Section: Tensor Reduction For Feynman Integrals Pjfry and Olecmentioning

confidence: 99%

“…Figure 13: The one-loop n point function. 97,103,104,72]. The project is competitive with other tools like [105,106,107,108].…”

Section: Tensor Reduction For Feynman Integrals Pjfry and Olecmentioning

confidence: 99%

“…The C++ package OLEC [114] for the replacement of tensor reduction by tensor contractions is due to J. Gluza, M. Gluza, I. Dubovyk. Its basics have been worked out also by A. Almasy, J. Fleischer, T. Riemann [115,103]. It is not yet published.…”

Section: Tensor Reduction For Feynman Integrals Pjfry and Olecmentioning

confidence: 99%

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Massive Feynman integrals and electroweak corrections

Gluza

Riemann²

2015

Nuclear and Particle Physics Proceedings

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C o m p u t a t io n a l T h e o r e t ic a l P a r t ic leP h y s ic s SFB TR9 B KA AC AbstractThere are steady advances in the calculation of electroweak corrections to massive scattering problems at colliders, from the very beginning in the nineteen seventies until contemporary developments. Recent years brought a remarkable progress due to new calculational technologies. This was motivated by demands from phenomenological applications at particle accelerators: higher multiplicities of the final states, extreme kinematics, need of higher precision and thus of higher orders in perturbation theory. We describe selected contributions from the project "Massive particle production" of Sonderforschungsbereich/Transregio 9 of Deutsche Forschungsgemeinschaft.

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Section: Tensor Reduction For Feynman Integrals Pjfry and Olecmentioning

confidence: 99%

“…Figure 13: The one-loop n point function. 97,103,104,72]. The project is competitive with other tools like [105,106,107,108].…”

Section: Tensor Reduction For Feynman Integrals Pjfry and Olecmentioning

confidence: 99%

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Massive Feynman integrals and electroweak corrections

Gluza

Riemann²

2015

Nuclear and Particle Physics Proceedings

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Complete QED NLO contributions to the reaction e + e − → μ + μ − γ and their implementation in the event generator PHOKHARA

Campanario

Czyż

Gluza

et al. 2014

J. High Energ. Phys.

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KLOE and Babar have an observed discrepancy of 2% to 5% in the invariant pion pair production cross section. These measurements are based on approximate NLO µ + µ − γ cross section predictions of the Monte Carlo event generator PHOKHARA7.0. In this article, the complete NLO radiative corrections to µ + µ − γ production are calculated and implemented in the Monte Carlo event generator PHOKHARA9.0. Numerical reliability is guaranteed by two independent approaches to the real and the virtual corrections. The novel features include the contribution of pentagon diagrams in the virtual corrections, which form a gauge-invariant set when combined with their box diagram partners. They may contribute to certain distributions at the percent level. Also the real emission was complemented with two-photon final state emission contributions not included in the generator PHOKHARA7.0. We demonstrate that the numerical influence reaches, for realistic charge-averaged experimental setups, not more than 0.1% at KLOE and 0.3% at BaBar energies. As a result, we exclude the approximations in earlier versions of PHOKHARA as origin of the observed experimental discrepancy.

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Reductions and Contractions of 1-loop Tensor Feynman Integrals

Cited by 2 publications

References 20 publications

Massive Feynman integrals and electroweak corrections

Massive Feynman integrals and electroweak corrections

Complete QED NLO contributions to the reaction e + e − → μ + μ − γ and their implementation in the event generator PHOKHARA

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