English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We present the Mathematica package SpinorHelicity4D, a dedicated suite foranalytic and numeric calculations involving four-dimensional massless andmassive spinor-helicity formalism. Analytic features of the package include forexample: manipulation of contracted and uncontracted spinor quantities,automated application of Schouten identities for expression simplification,contractions of spinor products into chains, re-expression of chains in termsof Dirac traces and evaluation of such traces, derivatives of arbitraryfunctions of spinor quantities. Numeric features of the package include amongothers: generation of arbitrary $n$-point numerical complex kinematics,allowing for both massless and massive external states, fully numeric orparametric kinematics, and numeric generation on either $\mathbb{R}$ or$\mathbb{Q}$, the latter providing output immediately suitable for finite fieldapplications. Furthermore, the package features user-friendly, intuitive butalso highly customizable input options, thus providing an approachable tool forthe casual user while still supporting more advanced applications for moreadept and frequent users. All of the output is returned in the standard bracketnotation, making it easily interpretable, but at the same it retains all of theanalytic properties of the objects, allowing for copy-pasted and manipulatedoutput to be provided as new input. This makes it ideal for front-endapplications on a Mathematica notebook, while still allowing for deployment ona cloud server for more heavy calculations.

SpinorHelicity4D: a Mathematica toolbox for the four-dimensional spinor-helicity formalism