Numerical scattering amplitudes with pySecDec

Heinrich, G.; Jones, S.P.; Kerner, M.; Magerya, V.; Olsson, A.; Schlenk, J.

doi:10.1016/j.cpc.2023.108956

Cited by 16 publications

(6 citation statements)

References 32 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…All master integrals as well as some integrals that appear in the soft function before the reduction to master integrals were computed numerically and compared with the analytic results. For the numerical evaluation, we used pySecDec [74] and MB [75] packages. Finally, our results for gg and cc final states agree with their recent evaluation reported in Ref.…”

Section: Resultsmentioning

confidence: 99%

Same-hemisphere three-gluon-emission contribution to the zero-jettiness soft function at N3LO QCD

et al. 2022

View full text Add to dashboard Cite

We present an analytic calculation of the one-loop correction to the double-real emission contribution to the zero-jettiness soft function at N3LO in QCD, accounting for both gluon-gluon and quark-antiquark soft final-state partons. We explain all the relevant steps of the computation including the reduction of phase-space integrals to master integrals in the presence of Heaviside functions, and the methods we employed to compute them.

show abstract

Section: Resultsmentioning

confidence: 99%

Same-hemisphere three-gluon-emission contribution to the zero-jettiness soft function at N3LO QCD

et al. 2022

View full text Add to dashboard Cite

show abstract

“…where Li n 1 ,n 2 ,...,n k denotes the classical multiple polylogarithm. Explicit expressions for the expansion can be found in the ancillary file and were verified numerically up to weight three using PySecDec [104,105].…”

Section: Boundary Valuementioning

confidence: 99%

The soaring kite: a tale of two punctured tori

Giroux,

Pokraka,

Porkert

et al. 2024

J. High Energ. Phys.

View full text Add to dashboard Cite

We consider the 5-mass kite family of self-energy Feynman integrals and present a systematic approach for constructing an ε-form basis, along with its differential equation pulled back onto the moduli space of two tori. Each torus is associated with one of the two distinct elliptic curves this family depends on. We demonstrate how the locations of relevant punctures, which are required to parametrize the full image of the kinematic space onto this moduli space, can be extracted from integrals over maximal cuts. A boundary value is provided such that the differential equation is systematically solved in terms of iterated integrals over g-kernels and modular forms. Then, the numerical evaluation of the master integrals is discussed, and important challenges in that regard are emphasized. In an appendix, we introduce new relations between g-kernels.

show abstract

“…[6]. Some remarkable achievements towards multiloop automation are the release of CARAVEL [7], a framework for multiloop computations using numerical unitarity, as well as the recent version of PYSECDEC [8] capable of evaluating multiloop amplitudes numerically. Apart from that, there are also ongoing efforts to "upgrade" existing one-loop codes at least to two-loop accuracy (cf.…”

Section: Introductionmentioning

confidence: 99%

FeynCalc goes multiloop

Shtabovenko

2023

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

We report on the new functionality of the open-source MATHEMATICA package FEYNCALC relevant for multiloop calculations. In particular, we focus on such tasks as topology identification by means of the Pak algorithm, search for equivalent master integrals and their graph representations as well as automatic derivations of Feynman parametric representations for a wide class of multiloop integrals. The functions described in this report are expected to be finalized with the official release of FEYNCALC 10. The current development snapshot of the package including the documentation is publicly available on the project homepage. User feedback is highly encouraged.

show abstract

Numerical scattering amplitudes with pySecDec

Cited by 16 publications

References 32 publications

Same-hemisphere three-gluon-emission contribution to the zero-jettiness soft function at N3LO QCD

Same-hemisphere three-gluon-emission contribution to the zero-jettiness soft function at N3LO QCD

The soaring kite: a tale of two punctured tori

FeynCalc goes multiloop

Contact Info

Product

Resources

About