Hadronic vacuum polarization using gradient flow
Open Access
- 24 August 2020
- journal article
- research article
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2020 (8) , 1-30
Abstract
The gradient-flow operator product expansion for QCD current correlators including operators up to mass dimension four is calculated through NNLO. This paves an alternative way for efficient lattice evaluations of hadronic vacuum polarization functions. In addition, flow-time evolution equations for flowed composite operators are derived. Their explicit form for the non-trivial dimension-four operators of QCD is given through order $$ {\alpha}_s^3. $$
Keywords
All Related Versions
This publication has 76 references indexed in Scilit:
- MPFRACM Transactions on Mathematical Software, 2007
- Scalar Correlator at, Higgs Boson Decay into Bottom Quarks, and Bounds on the Light-Quark MassesPhysical Review Letters, 2006
- Singlet polarization functions atPhysical Review D, 1998
- Higgs boson decay to top quarks atPhysical Review D, 1997
- QCD corrections to the e+e− cross-section and the Z boson decay rate: concepts and resultsPhysics Reports, 1996
- Two-loop gluon-condensate contributions to heavy-quark current correlators: exact results and approximationsPhysics Letters B, 1994
- Wilson expansion for correlators of vector currents at the two-loop level: Dimension-four operatorsPhysics Letters B, 1985
- The algorithm for OPE coefficient functions in the MS schemePhysics Letters B, 1983
- Higher-order corrections to (→ ) in quantum chromodynamicsPhysics Letters B, 1979
- Quantum-Chromodynamics Perturbation Expansions in a Coupling Constant Renormalized by Momentum-Space SubtractionPhysical Review Letters, 1979