FIESTA5: numerical high-performance Feynman integral evaluation. (English) Zbl 1522.81097
Summary: In this paper we present a new release of the FIESTA program (Feynman Integral Evaluation by a Sector decomposiTion Approach). FIESTA5 is performance-oriented – we implemented improvements of various kinds in order to make Feynman integral evaluation faster. We plugged in two new integrators, the Quasi Monte Carlo and Tensor Train. At the same time the old code of FIESTA4 was upgraded to the C++17 standard and mostly rewritten without self-made structures such as hash tables. There are also several essential improvements which are most relevant for complex integrations – the new release is capable of producing results where previously impossible.
MSC:
| 81Q30 | Feynman integrals and graphs; applications of algebraic topology and algebraic geometry |
| 20N05 | Loops, quasigroups |
| 81T33 | Dimensional compactification in quantum field theory |
| 08A70 | Applications of universal algebra in computer science |
| 65D30 | Numerical integration |
| 81-08 | Computational methods for problems pertaining to quantum theory |
Keywords:
Feynman diagrams; multiloop Feynman integrals; dimensional regularization; computer algebra; numerical integrationReferences:
| [1] | Binoth, T.; Heinrich, G., Nucl. Phys. B, 585, 741-759 (2000) · Zbl 1042.81565 |
| [2] | Binoth, T.; Heinrich, G., Nucl. Phys. B, 680, 375-388 (2004) · Zbl 1043.81630 |
| [3] | Binoth, T.; Heinrich, G., Nucl. Phys. B, 693, 134-148 (2004) · Zbl 1151.81352 |
| [4] | Heinrich, G., Int. J. Mod. Phys. A, 23, 1457-1486 (2008) · Zbl 1153.81522 |
| [5] | Bogner, C.; Weinzierl, S., Comput. Phys. Commun., 178, 596-610 (2008) · Zbl 1196.81010 |
| [6] | Bogner, C.; Weinzierl, S., Nucl. Phys. Proc. Suppl., 183, 256-261 (2008) |
| [7] | Carter, J.; Heinrich, G., Comput. Phys. Commun., 182, 1566-1581 (2011) · Zbl 1262.81119 |
| [8] | Borowka, S.; Carter, J.; Heinrich, G., Comput. Phys. Commun., 184, 396-408 (2013) |
| [9] | Borowka, S.; Carter, J.; Heinrich, G., J. Phys. Conf. Ser., 368, Article 012051 pp. (2012) |
| [10] | Borowka, S.; Heinrich, G., PoS, LL2012, Article 038 pp. (2012) |
| [11] | Borowka, S.; Heinrich, G., Comput. Phys. Commun., 184, 2552-2561 (2013) · Zbl 1349.81012 |
| [12] | Borowka, S.; Heinrich, G., J. Phys. Conf. Ser., 523, Article 012048 pp. (2014) |
| [13] | Borowka, S.; Heinrich, G., J. Phys. Conf. Ser., 608, Article 012062 pp. (2015) |
| [14] | Borowka, S.; Heinrich, G.; Jones, S. P.; Kerner, M.; Schlenk, J.; Zirke, T., Comput. Phys. Commun., 196, 470-491 (2015) · Zbl 1360.81013 |
| [15] | Borowka, S.; Heinrich, G.; Jahn, S.; Jones, S. P.; Kerner, M.; Schlenk, J.; Zirke, T., Comput. Phys. Commun., 222, 313-326 (2018) · Zbl 07693053 |
| [16] | Jahn, S., PoS, CORFU2017, 132 (2018) |
| [17] | Heinrich, G.; Jahn, S.; Jones, S. P.; Kerner, M.; Langer, F.; Magerya, V.; Poldaru, A.; Schlenk, J.; Villa, E., Expansion by regions with pysecdec (2021) |
| [18] | Smirnov, A. V.; Tentyukov, M. N., Comput. Phys. Commun., 180, 735-746 (2009) · Zbl 1198.81044 |
| [19] | Smirnov, A. V.; Smirnov, V. A.; Tentyukov, M., Comput. Phys. Commun., 182, 790-803 (2011) · Zbl 1214.81171 |
| [20] | Smirnov, A. V., Comput. Phys. Commun., 185, 2090-2100 (2014) · Zbl 1351.81078 |
| [21] | Smirnov, A. V., Comput. Phys. Commun., 204, 189-199 (2016) · Zbl 1378.65075 |
| [22] | Borowka, S.; Heinrich, G.; Jahn, S.; Jones, S.; Kerner, M.; Schlenk, J., Comput. Phys. Commun., 240, 120-137 (2019) · Zbl 07674767 |
| [23] | Vysotsky, L. I.; Smirnov, A. V.; Tyrtyshnikov, E. E., Lobachevskii J. Math., 42, 1608-1621 (2021) · Zbl 1497.65062 |
| [24] | Kaneko, T.; Ueda, T., Comput. Phys. Commun., 181, 1352-1361 (2010) · Zbl 1219.65014 |
| [25] | Borinsky, M., Tropical Monte Carlo quadrature for Feynman integrals (2020) |
| [26] | Pak, A., J. Phys. Conf. Ser., 368, Article 012049 pp. (2012) |
| [27] | Hahn, T., Comput. Phys. Commun., 168, 78-95 (2005) · Zbl 1196.65052 |
| [28] | Speer, E. R., J. Math. Phys., 9, 1404-1410 (1968) |
| [29] | Smirnov, A. V.; Smirnov, V. A., J. High Energy Phys., 05, Article 004 pp. (2009) |
| [30] | Beneke, M.; Smirnov, V. A., Nucl. Phys. B, 522, 321-344 (1998) |
| [31] | Smirnov, V. A., Springer Tracts Mod. Phys., 177, 1-262 (2002) · Zbl 1025.81002 |
| [32] | Smirnov, V. A., Springer Tracts Mod. Phys., 250, 1-296 (2012) · Zbl 1268.81004 |
| [33] | Lee, R. N.; von Manteuffel, A.; Schabinger, R. M.; Smirnov, A. V.; Smirnov, V. A.; Steinhauser, M., Phys. Rev. D, 104, Article 074008 pp. (2021) |
| [34] | Duhr, C.; Smirnov, V. A.; Tancredi, L., J. High Energy Phys., 09, Article 120 pp. (2021) |
| [35] | Kälin, G.; Liu, Z.; Porto, R. A., Phys. Rev. Lett., 125, Article 261103 pp. (2020) |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
