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February 8, 2026The European Physical Journal C0 citationsOpen Access

Correlator with tensor currents and two masses at two loops

TGTerry GeneretNGNico GubernariELEetu Loisa

Key Points

  • The aim is to calculate the vacuum-to-vacuum correlator of tensor currents considering the impact of quark masses.
  • Calculated correlator of flavour-non-diagonal tensor currents
  • Retained dependence on two quark masses and external momentum
  • Included perturbative corrections up to next-to-leading order
  • Presented analytical expressions in machine-readable form
  • Provided numerical results with scale uncertainty estimates
  • Developed fully analytical expressions for the vacuum correlator
  • Calculated results support QCD sum rules and unitarity bounds
  • Highlighted the significance of scale uncertainties in the findings

Abstract

Abstract We calculate the vacuum-to-vacuum correlator of two flavour-non-diagonal tensor currents of massive quarks, retaining the full dependence on the two quark masses and the external momentum. For the first time, we include perturbative corrections up to next-to-leading order. Our fully analytical expressions are provided in machine-readable form. Furthermore, we present numerical results for various input parameters, including an estimate of the scale uncertainties. Our results are essential input for applications of dispersive methods, including unitarity bounds and QCD sum rules.

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Cite This Study

Generet et al. (2026) studied this question.

synapsesocial.com/papers/698827670fc35cd7a8846232https://doi.org/10.1140/epjc/s10052-026-15305-y
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