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FeynCalc 9.3: New features and improvements (2001.04407v2)

Published 13 Jan 2020 in hep-ph and hep-th

Abstract: We present FeynCalc 9.3, a new stable version of a powerful and versatile Mathematica package for symbolic quantum field theory (QFT) calculations. Some interesting new features such as highly improved interoperability with other packages, automatic extraction of the ultraviolet divergent parts of 1-loop integrals, support for amplitudes with Majorana fermions and $\gamma$-matrices with explicit Dirac indices are explained in detail. Furthermore, we discuss some common problems and misunderstandings that may arise in the daily usage of the package, providing explanations and workarounds.

Citations (456)

Summary

  • The paper presents a major update that boosts FeynCalc’s interoperability by integrating with tools like Package-X and HepMath.
  • The paper introduces the PaVeUVPart function, which streamlines renormalization by automatically extracting UV divergent parts from one-loop integrals.
  • The paper enhances support for Majorana fermions and explicit Dirac indices, simplifying complex quantum field theory computations in BSM studies.

Overview of FeynCalc 9.3: New Features and Improvements

The paper "FeynCalc 9.3: New Features and Improvements" presents a substantial update to FeynCalc, a Mathematica package extensively used for symbolic quantum field theory (QFT) calculations. This version 9.3 introduces several enhancements that focus on interoperability, computational efficiency, and advanced functionalities aimed at facilitating high-energy physics (HEP) calculations.

Key Features and Enhancements

FeynCalc 9.3 provides improved interoperability with other tools, an aspect crucial for integrating various specialized codes in particle physics computations. Notably, it now supports automatic extraction of ultraviolet (UV) divergent parts of one-loop integrals and includes features for handling Majorana fermions and gamma matrices with explicit Dirac indices. These improvements address several core challenges in performing calculations involving Feynman diagrams, particularly in scenarios involving mixed tool use.

  1. Interoperability Improvements: The update enhances the ability of FeynCalc to interact with other HEP tools, mitigating previous limitations. This includes improved compatibility with popular packages such as Package-X and HepMath, allowing for more seamless integration into multi-package workflows.
  2. UV Divergence Handling: The new function PaVeUVPart automatically extracts UV divergent components from Passarino-Veltman functions, which is critical for calculations focusing on renormalization. This feature extends the package's applicability to a broader range of quantum field theories by simplifying processes traditionally prone to algebraic complexity.
  3. Support for Majorana Fermions: FeynCalc 9.3 includes functionality to handle amplitudes involving Majorana fermions, an essential component in many beyond the Standard Model (BSM) theories. With this update, the complexities of Majorana spinor manipulation are reduced, enabling more straightforward computations in theories such as supersymmetric models.
  4. Explicit Dirac Indices: The package now allows for Dirac matrices and spinors with explicit indices, providing greater transparency and control in tensor algebra. This feature is particularly useful in multiloop or multiparticle scattering calculations where tracking indices can prevent errors and facilitate cross-verification of results.

Practical and Theoretical Implications

The enhancements presented in FeynCalc 9.3 have both practical and theoretical implications. Practically, the improvements enable faster and more reliable QFT calculations, which are critical in the exploration of particle physics phenomena, especially in BSM areas. The new features also potentially reduce computational overhead and human error in complex evaluations, making it possible to tackle more ambitious problems within tight computational constraints.

Theoretically, the integration of tools for specific fermionic states and detailed Feynman rule applications enriches the ability to test existing theories and develop new hypotheses in HEP. By providing robust support for different fermionic computations, FeynCalc 9.3 opens new pathways for investigating unresolved questions in particle physics, particularly those dealing with symmetry properties and fermion interactions.

Conclusion and Future Directions

FeynCalc 9.3 represents a significant step forward in improving the efficiency and scope of symbolic computations in HEP. Looking ahead, the developers emphasize ongoing improvements, particularly in optimizing FeynCalc for effective field theories (EFTs) and expanding its multiloop computational capabilities. Additionally, forthcoming work includes web-based accessibility to broaden its educational and collaborative potential.

In summary, FeynCalc 9.3 enhances the toolkit available to physicists, contributing to the advancement of both theoretical inquiries and computational methodologies in high-energy physics. The continued development of this package promises to keep pace with the evolving demands of the field, ensuring it remains a vital resource for researchers tackling the complexities of modern quantum calculations.

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