6533b7d8fe1ef96bd126b775

RESEARCH PRODUCT

The subtraction contribution to the muonic-hydrogen Lamb shift: a point for lattice QCD calculations of the polarizability effect

Franziska HagelsteinVladimir Pascalutsa

subject

Nuclear and High Energy PhysicsNuclear TheoryAtomic Physics (physics.atom-ph)FOS: Physical sciences01 natural sciencesPhysics - Atomic PhysicsNuclear Theory (nucl-th)High Energy Physics - LatticeHigh Energy Physics - Phenomenology (hep-ph)Charge radiusPolarizabilityLattice (order)0103 physical sciencesPhysics::Atomic Physics010306 general physicsExotic atomPhysics010308 nuclear & particles physicsStructure functionHigh Energy Physics - Lattice (hep-lat)SubtractionLattice QCD3. Good healthLamb shiftHigh Energy Physics - PhenomenologyQuantum electrodynamics

description

The proton-polarizability contribution to the muonic-hydrogen Lamb shift is a major source of theoretical uncertainty in the extraction of the proton charge radius. An empirical evaluation of this effect, based on the proton structure functions, requires a systematically improvable calculation of the "subtraction function", possibly using lattice QCD. We consider a different subtraction point, with the aim of accessing the subtraction function directly in lattice calculations. A useful feature of this subtraction point is that the corresponding contribution of the structure functions to the Lamb shift is suppressed. The whole effect is dominated by the subtraction contribution, calculable on the lattice.

https://dx.doi.org/10.48550/arxiv.2010.11898