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arxiv: 2001.04407 · v2 · pith:DLVFORT2new · submitted 2020-01-13 · ✦ hep-ph · hep-th

FeynCalc 9.3: New features and improvements

Vladyslav Shtabovenko , Rolf Mertig , Frederik Orellana This is my paper

Pith reviewed 2026-05-18 00:02 UTC · model grok-4.3

classification ✦ hep-ph hep-th
keywords FeynCalcquantum field theoryone-loop integralsMajorana fermionsultraviolet divergencessymbolic computationDirac matricesMathematica package
0
0 comments X

The pith

FeynCalc 9.3 adds automatic extraction of ultraviolet divergences from one-loop integrals along with support for Majorana fermions.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper introduces FeynCalc 9.3 as a stable update to a Mathematica package designed for symbolic calculations in quantum field theory. It explains new capabilities such as better connections to other software tools, automatic identification of divergent parts in loop integrals, and handling of amplitudes involving Majorana fermions or gamma matrices with explicit indices. The authors also cover frequent user mistakes and practical solutions. A sympathetic reader would value this because it reduces manual steps in performing standard QFT computations and helps avoid common implementation errors.

Core claim

FeynCalc 9.3 is presented as a new stable release that incorporates highly improved interoperability with external packages, automatic extraction of the ultraviolet divergent parts of one-loop integrals, and direct support for amplitudes containing Majorana fermions as well as gamma-matrices carrying explicit Dirac indices.

What carries the argument

The package's updated functions that automatically isolate ultraviolet divergences in one-loop integrals while extending compatibility to Majorana fermion fields and indexed Dirac matrices.

If this is right

  • Users can obtain the divergent parts of one-loop integrals directly without separate regularization steps.
  • Amplitudes in models with Majorana fermions become accessible through built-in handling rather than custom workarounds.
  • Integration with other symbolic tools becomes smoother, reducing the effort needed to combine outputs from multiple packages.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The automation of divergence extraction may shorten the time required for renormalization checks in multi-loop extensions.
  • Explicit Dirac index support could simplify tracing over spinor structures in calculations involving mixed fermion types.

Load-bearing premise

The new features are assumed to be correctly implemented without bugs that would affect typical user calculations.

What would settle it

Performing a standard one-loop diagram calculation with Majorana fermions in the new version and comparing the ultraviolet divergent part against an independent manual or alternative-software result.

read the original 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.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

0 major / 2 minor

Summary. The manuscript presents FeynCalc 9.3, a new stable version of the Mathematica package for symbolic QFT calculations. It explains 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 γ-matrices with explicit Dirac indices. It also discusses common problems and misunderstandings that may arise in daily usage, providing explanations and workarounds.

Significance. If the described features function as stated, the update strengthens a widely used tool for symbolic QFT work by adding practical capabilities for loop integrals, Majorana fermions, and cross-package workflows. The manuscript explicitly credits its value through concrete usage examples and workarounds, which is a strength for a software release note of this type.

minor comments (2)
  1. [New features] The interoperability section would be clearer with one additional concrete example showing data exchange between FeynCalc and another package (e.g., FORM or LoopTools).
  2. A short table summarizing the new commands and their syntax would improve quick reference for users.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for the careful reading of the manuscript and the positive recommendation to accept. The report correctly identifies the main new capabilities of FeynCalc 9.3 and their practical value for symbolic QFT calculations.

Circularity Check

0 steps flagged

No significant circularity

full rationale

The manuscript is a software release announcement describing new features and usage notes for FeynCalc 9.3. It contains no derivations, predictions, equations, or quantitative results that could reduce to fitted inputs, self-definitions, or self-citation chains. All content is factual description of implemented capabilities (interoperability, UV divergence extraction, Majorana support, explicit Dirac indices), with no load-bearing claims that rely on prior self-citations or ansatzes. The paper is self-contained as a descriptive note and requires no external validation of a derivation chain.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

No free parameters, axioms, or invented entities are introduced; the paper describes software engineering changes rather than a theoretical model.

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discussion (0)

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