SPINAS: Spinor Amplitude Subroutines for Constructive Diagram Evaluations
Abstract: SPINAS is a C++ package created for the implementation and numerical computation of phase-space points of constructive amplitudes in particle physics. This package contains a suite of classes and methods for handling particles, propagators, spinor products, and processes. SPINAS is structured to offer straightforward usability while ensuring maximum efficiency. This is achieved through a design that emphasizes the storage and reuse of intermediate results within amplitude calculations for each phase-space point. We include a user guide describing how to use the components, a complete example of how to use SPINAS for a scattering amplitude, a discussion of the design and implementation useful for those wishing to contribute, and a discussion of our validation of this package, including both a validation of individual components of the package and a comparison of a complete set of Standard Model processes with Feynman diagrams.
- H. Murayama, I. Watanabe and K. Hagiwara, “HELAS: HELicity amplitude subroutines for Feynman diagram evaluations,” KEK-91-11.
- J. Alwall, M. Herquet, F. Maltoni, O. Mattelaer and T. Stelzer, “MadGraph 5 : Going Beyond,” JHEP 06, 128 (2011) doi:10.1007/JHEP06(2011)128 [arXiv:1106.0522 [hep-ph]].
- P. de Aquino, W. Link, F. Maltoni, O. Mattelaer and T. Stelzer, “ALOHA: Automatic Libraries Of Helicity Amplitudes for Feynman Diagram Computations,” Comput. Phys. Commun. 183, 2254-2263 (2012) doi:10.1016/j.cpc.2012.05.004 [arXiv:1108.2041 [hep-ph]].
- S. Weinberg, “The Quantum theory of fields. Vol. 1: Foundations,” Cambridge University Press, 2005, ISBN 978-0-521-67053-1, 978-0-511-25204-4 doi:10.1017/CBO9781139644167
- R. Gastmans and T. T. Wu, “The Ubiquitous photon: Helicity method for QED and QCD,” Int. Ser. Monogr. Phys. 80, 1-648 (1990)
- L. J. Dixon, “Calculating scattering amplitudes efficiently,” [arXiv:hep-ph/9601359 [hep-ph]].
- S. J. Parke and T. R. Taylor, “An Amplitude for n𝑛nitalic_n Gluon Scattering,” Phys. Rev. Lett. 56, 2459 (1986) doi:10.1103/PhysRevLett.56.2459
- R. Britto, F. Cachazo, B. Feng and E. Witten, “Direct proof of tree-level recursion relation in Yang-Mills theory,” Phys. Rev. Lett. 94, 181602 (2005) doi:10.1103/PhysRevLett.94.181602 [arXiv:hep-th/0501052 [hep-th]].
- E. P. Wigner, “On Unitary Representations of the Inhomogeneous Lorentz Group,” Annals Math. 40, 149-204 (1939) doi:10.2307/1968551
- N. Arkani-Hamed, T. C. Huang and Y. t. Huang, “Scattering amplitudes for all masses and spins,” JHEP 11, 070 (2021) doi:10.1007/JHEP11(2021)070 [arXiv:1709.04891 [hep-th]].
- N. Christensen and B. Field, “Constructive standard model,” Phys. Rev. D 98, no.1, 016014 (2018) doi:10.1103/PhysRevD.98.016014 [arXiv:1802.00448 [hep-ph]].
- N. Christensen, B. Field, A. Moore and S. Pinto, “Two-, three-, and four-body decays in the constructive standard model,” Phys. Rev. D 101, no.6, 065019 (2020) doi:10.1103/PhysRevD.101.065019 [arXiv:1909.09164 [hep-ph]].
- N. Christensen, H. Diaz-Quiroz, B. Field, J. Hayward and J. Miles, “Challenges with internal photons in constructive QED,” Nucl. Phys. B 993, 116278 (2023) doi:10.1016/j.nuclphysb.2023.116278 [arXiv:2209.15018 [hep-ph]].
- H. Y. Lai, D. Liu and J. Terning, “The Constructive Method for Massive Particles in QED,” [arXiv:2312.11621 [hep-ph]].
- Neil Christensen, “Perturbative Unitarity and the 4-Point Vertices in the Constructive Standard Model,” arXiv:…
- Neil Christensen, “A Complete Set of 4-Point Amplitudes in the Constructive Standard Model,” arXiv:…
- https://github.com/neilthec/spinas
- https://github.com/neilthec/spinas/wiki
- https://github.com/neilthec/spinas/discussions
- https://github.com/neilthec/spinas/issues
- https://cmake.org
- https://www.gnu.org/software/gcc/
- https://www.boost.org
- https://neilthec.github.io/spinas/
- https://www.gnu.org/licenses/gpl-3.0.en.html
- A. Belyaev, N. D. Christensen and A. Pukhov, “CalcHEP 3.4 for collider physics within and beyond the Standard Model,” Comput. Phys. Commun. 184, 1729-1769 (2013) doi:10.1016/j.cpc.2013.01.014 [arXiv:1207.6082 [hep-ph]].
- N. D. Christensen, P. de Aquino, N. Deutschmann, C. Duhr, B. Fuks, C. Garcia-Cely, O. Mattelaer, K. Mawatari, B. Oexl and Y. Takaesu, “Simulating spin-3232\frac{3}{2}divide start_ARG 3 end_ARG start_ARG 2 end_ARG particles at colliders,” Eur. Phys. J. C 73, no.10, 2580 (2013) doi:10.1140/epjc/s10052-013-2580-x [arXiv:1308.1668 [hep-ph]].
Paper Prompts
Sign up for free to create and run prompts on this paper.
