Package-X: A Mathematica package for the analytic calculation of one-loop integrals

Abstract

Package-X, a Mathematica package for the analytic computation of one-loop integrals dimensionally regulated near 4 spacetime dimensions is described. Package-X computes arbitrarily high rank tensor integrals with up to three propagators, and gives compact expressions of UV divergent, IR divergent, and finite parts for any kinematic configuration involving real-valued external invariants and internal masses. Output expressions can be readily evaluated numerically and manipulated symbolically with built-in Mathematica functions. Emphasis is on evaluation speed, on readability of results, and especially on user-friendliness. Also included is a routine to compute traces of products of Dirac matrices, and a collection of projectors to facilitate the computation of fermion form factors at one-loop. The package is intended to be used both as a research tool and as an educational tool.

Package files are available at http://packagex.hepforge.org

References in corpus (7)

• New Developments in FeynCalc 9.0
• Collier: a fortran-based Complex One-Loop LIbrary in Extended Regularizations
• OneLOop: for the evaluation of one-loop scalar functions
• Scalar one-loop 4-point integrals
• $Apart: A Generalized Mathematica Apart Function
• FeynHelpers: Connecting FeynCalc to FIRE and Package-X
• QCDLoop: a comprehensive framework for one-loop scalar integrals

Cited by in corpus (390)

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• The Mikheyev-Smirnov-Wolfenstein Matter Potential at the One-loop Level in the Standard Model
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• Minimal Dilaton Model and the Diphoton Excess
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• Probing Dark Matter Electromagnetic Properties in Direct Detection Experiments
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• Exploring the phenomenology of weak adjoint scalars in minimal $R$-symmetric models
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• The top quark chromomagnetic dipole moment in the SM from the 4-body vertex function
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• Improved $K_{e3}$ radiative corrections sharpen the $K_{\mu 2}$--$K_{l3}$ discrepancy
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• Positivity bounds in scalar-QED EFT at one-loop level
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• On two body gravitational scattering within perturbative gravit
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• Track 3: Computations in theoretical physics -- techniques and methods
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• Role of ${\lambda }_{h{H}^{+}{H}^{-}}$ in Higgs boson decays $h$ to $bs$ in the 2HDM
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• A new and gauge-invariant Littlest Higgs model with T-parity
• Effects of virtual Majorana neutrinos on charged Lepton Flavor Violation decays from a seesaw variant with radiatively induced light neutrino masses
• Lepton Flavor Violation of Z Gauge Boson Decays in Supersymmetric Type-III Seesaw Model
• Probing Bottom-flavored Scalar Dark Matters at Loop Level
• Probing new light scalars with the lepton anomalous magnetic moment and the weak equivalence principle violation
• Imprints of light dark matter on the evolution of cosmic neutrinos
• Leptogenesis from a $U(1{)}_D$ resonance
• Prospects for detecting the rare heavy Higgs decay $H\to h\gamma \gamma$ through the $H\to b\bar{b}\gamma \gamma$ channel at the LHC
• Exploring hadronic de-excitation via Lepton Flavor Violation
• Some aspects of CP violation and gauge interactions in the standard model and beyond
• Lepton Flavor Violation and Local Lepton Number
• What can we learn from the radiative decays of the $D_{s1}(2460)$ meson?
• Recurrence Relations and Dispersive Techniques for Precision Multi-Loop Calculations
• Radiative Dirac neutrino masses and dark matter in a $U(1{)}_{B-L}$ extended model