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Finite-Volume Effects in (g-2)μHVP,LO.
- Source :
-
Physical Review Letters . 10/25/2019, Vol. 123 Issue 17, p1-1. 1p. - Publication Year :
- 2019
-
Abstract
- An analytic expression is derived for the leading-order finite-volume effects arising in lattice QCD calculations of the hadronic-vacuum-polarization contribution to the muon's magnetic moment aμHVP,LO≡(g-2)μHVP,LO/2. For calculations in a finite spatial volume with periodicity L, aμHVP,LO(L) admits a transseries expansion with exponentially suppressed L scaling. Using a Hamiltonian approach, we show that the leading finite-volume correction scales as exp[-MπL] with a prefactor given by the (infinite-volume) Compton amplitude of the pion, integrated with the muon-mass-dependent kernel. To give a complete quantitative expression, we decompose the Compton amplitude into the spacelike pion form factor Fπ(Q²) and a multiparticle piece. We determine the latter through next-to leading order in chiral perturbation theory and find that it contributes negligibly and through a universal term that depends only on the pion decay constant, with all additional low-energy constants dropping out of the integral. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00319007
- Volume :
- 123
- Issue :
- 17
- Database :
- Academic Search Index
- Journal :
- Physical Review Letters
- Publication Type :
- Academic Journal
- Accession number :
- 139402013
- Full Text :
- https://doi.org/10.1103/PhysRevLett.123.172001