FeynCalc 9.3: New features and improvements

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.

arXiv comment21 pages, no figures, updated to match the journal version. To obtain the program, see https://github.com/FeynCalc/feyncalc

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• RelExt: A New Dark Matter Tool for the Exploration of Dark Matter Models
• Structure-dependent radiative corrections to $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\gamma$ in the GVMD approach
• Higgs boson decay to massive bottom quarks at order ${\alpha }_s^4$ induced by top-quark Yukawa couplings
• Imprints of light dark matter on the evolution of cosmic neutrinos
• Refining two-loop corrections to trilinear Higgs couplings in the Two-Higgs-Doublet Model
• Scattering amplitudes in dimensionless quadratic gravity coupled to QED
• Calculation of the axial-vector coupling constant $g_A$ to two loops in covariant chiral perturbation theory
• Probing dark sector fermions in Higgs precision studies and direct searches
• Probing Hidden Sectors with a muon beam: Total and differential cross-sections for vector boson production in muon bremsstrahlung
• Can millicharge be probed at future Super Tau Charm Facility via mono-${\pi }^0$ searches?
• Gravitational Deflection of Vector Photons via Effective Field Theory
• Scalar leptoquark contributions to the $gg\to Zh$ process
• Probing new light scalars with the lepton anomalous magnetic moment and the weak equivalence principle violation
• Transition Form-Factor for ${\eta }_Q$ at NNLO in the strong coupling ${\alpha }_s$ and with all-order $v^2$ resummation
• On the One-Loop Exactness of Gravity Partition Function
• Rare Higgs Decay into a Photon and a Z Boson in Radiatively-Driven Natural Supersymmetry
• Tensor spin polarization induced by curved freeze-out hypersurface
• Vorticity-induced effects from Wess-Zumino-Witten terms
• Electroweak corrections to Higgs+jet production in gluon fusion