0000000000309258

AUTHOR

A. Behring

showing 3 related works from this author

3-loop heavy flavor Wilson coefficients in deep-inelastic scattering

2015

Abstract We present our most recent results on the calculation of the heavy flavor contributions to deep-inelastic scattering at 3-loop order in the large Q 2 limit, where the heavy flavor Wilson coefficients are known to factorize into light flavor Wilson coefficients and massive operator matrix elements. We describe the different techniques employed for the calculation and show the results in the case of the heavy flavor non-singlet and pure singlet contributions to the structure function F 2 ( x , Q 2 ) .

PhysicsNuclear and High Energy PhysicsParticle physicsScatteringHigh Energy Physics::LatticeHigh Energy Physics::PhenomenologyStructure functionDeep inelastic scatteringLoop (topology)FactorizationHigh Energy Physics::ExperimentLimit (mathematics)Singlet stateFlavorNuclear and Particle Physics Proceedings
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Recent progress on the calculation of three-loop heavy flavor Wilson coefficients in deep-inelastic scattering

2014

We report on our latest results in the calculation of the three-loop heavy flavor contributions to the Wilson coefficients in deep-inelastic scattering in the asymptotic region $Q^2 \gg m^2$. We discuss the different methods used to compute the required operator matrix elements and the corresponding Feynman integrals. These methods very recently allowed us to obtain a series of new operator matrix elements and Wilson coefficients like the flavor non-singlet and pure singlet Wilson coefficients.

PhysicsLoop (topology)Particle physicsHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics::LatticeHigh Energy Physics::PhenomenologyFOS: Physical sciencesddc:530Deep inelastic scatteringFlavor
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Asymptotic 3-loop heavy flavor corrections to the charged current structure functions FLW+−W−(x,Q2) and F2W+−W−(x,Q2)

2016

We derive the massive Wilson coefficients for the heavy flavor contributions to the nonsinglet charged current deep-inelastic scattering structure functions ${F}_{L}^{{W}^{+}}(x,{Q}^{2})\ensuremath{-}{F}_{L}^{{W}^{\ensuremath{-}}}(x,{Q}^{2})$ and ${F}_{2}^{{W}^{+}}(x,{Q}^{2})\ensuremath{-}{F}_{2}^{{W}^{\ensuremath{-}}}(x,{Q}^{2})$ in the asymptotic region ${Q}^{2}\ensuremath{\gg}{m}^{2}$ to 3-loop order in quantum chromodynamics at general values of the Mellin variable $N$ and the momentum fraction $x$. Besides the heavy quark pair production, also the single heavy flavor excitation $s\ensuremath{\rightarrow}c$ contributes. Numerical results are presented for the charm quark contributions, …

Quantum chromodynamicsQuarkPhysicsParticle physics010308 nuclear & particles physicsHigh Energy Physics::LatticeHigh Energy Physics::PhenomenologyOrder (ring theory)01 natural sciencesCharm quarkLoop (topology)Pair production0103 physical sciencesHigh Energy Physics::ExperimentSum rule in quantum mechanics010306 general physicsCharged currentPhysical Review D
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