K→(ππ)I=2 decays and twisted boundary conditions
Abstract
We propose a new method to evaluate the Lellouch-Lüscher factor which relates the ΔI=3/2 K→ππ matrix elements computed on a finite lattice to the physical (infinite-volume) decay amplitudes. The method relies on the use of partially twisted boundary conditions, which allow the s-wave ππ phase shift to be computed as an almost continuous function of the center-of-mass relative momentum and hence for its derivative to be evaluated. We successfully demonstrate the feasibility of the technique in an exploratory computation.
- Publication:
-
Physical Review D
- Pub Date:
- June 2010
- DOI:
- 10.1103/PhysRevD.81.114506
- arXiv:
- arXiv:1003.3191
- Bibcode:
- 2010PhRvD..81k4506K
- Keywords:
-
- 12.38.Gc;
- 11.15.Ha;
- 13.25.Es;
- Lattice QCD calculations;
- Lattice gauge theory;
- Decays of K mesons;
- High Energy Physics - Lattice;
- High Energy Physics - Phenomenology
- E-Print:
- 19 pages, 7 figures