First NNLO QCD short-distance coefficients for the ³S₁⁽⁸⁾ gluon fragmentation function are obtained numerically to high precision, with analytic endpoint logarithms reconstructed for threshold resummation.
FormLink/FeynCalcFormLink : Embedding FORM in Mathematica and FeynCalc
4 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
FORM, a symbolic manipulation system, has been widely used in a lot of calculations for High Energy Physics due to its high performance and fficient design. Mathematica, another computational software program, has also widely been used, but more for reasons of generality and user-friendliness than for speed. Especially calculations involving tensors and noncommutative operations like calculating Dirac traces can be rather slow in Mathematica, compared to FORM. In this article we describe FormLink and FeynCalcFormLink, two Mathematica packages to link Mathematica and FeynCalc with FORM. FormLink can be used without FeynCalc and FeynCalcFormLink, which is an extension loading FormLink and FeynCalc automatically. With these two packages the impressive speed and other special features of FORM get embedded into the generality of Mathematica and FeynCalc in a simple manner. FeynCalcFormLink provides a FORM-based turbo for FeynCalc, making it much more efficient. FormLink turns Mathematica into an editor and code organizer for FORM.
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hep-ph 4representative citing papers
NRQCD calculation of O(α_s), O(v²) and first-time O(α_s v²) corrections to e⁺e⁻ → J/ψ + X_non c c̄, with r = m_c/√s expansions to r⁴⁰, yielding cross section 0.530 pb consistent with Belle but angular parameter deviating >2σ.
Semi-analytical NNLO QCD corrections to e+e- -> J/psi + chi_cJ are computed via asymptotic expansions, yielding large corrections that reduce scale dependence for some channels and a discrepancy with Belle data on the chi_c0 angular parameter alpha_theta.
FeynCalc 9.3 adds improved interoperability, UV divergence extraction, Majorana fermion support, and explicit Dirac index handling to the existing symbolic QFT package.
citing papers explorer
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Next-to-next-to-leading-order QCD corrections to ${}^3S_1^{(8)}$ gluon fragmentation function for quarkonium
First NNLO QCD short-distance coefficients for the ³S₁⁽⁸⁾ gluon fragmentation function are obtained numerically to high precision, with analytic endpoint logarithms reconstructed for threshold resummation.
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Semi-analytical results for $e^+e^-\to J/\psi + X_{{\rm non\,}c\bar{c}}$ up to $\mathcal{O}(\alpha_s v^2)$ at B factories
NRQCD calculation of O(α_s), O(v²) and first-time O(α_s v²) corrections to e⁺e⁻ → J/ψ + X_non c c̄, with r = m_c/√s expansions to r⁴⁰, yielding cross section 0.530 pb consistent with Belle but angular parameter deviating >2σ.
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Semi-analytical two-loop QCD corrections to $e^+e^-\to J/\psi+\chi_{cJ}$ at B factories
Semi-analytical NNLO QCD corrections to e+e- -> J/psi + chi_cJ are computed via asymptotic expansions, yielding large corrections that reduce scale dependence for some channels and a discrepancy with Belle data on the chi_c0 angular parameter alpha_theta.
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FeynCalc 9.3: New features and improvements
FeynCalc 9.3 adds improved interoperability, UV divergence extraction, Majorana fermion support, and explicit Dirac index handling to the existing symbolic QFT package.