π − π scattering, QED, and finite-volume quantization

Christ, Norman; Feng, Xu; Karpie, Joseph; Nguyen, Tuan

doi:10.1103/PhysRevD.106.014508

Title: $π - π$ scattering, QED, and finite-volume quantization

Journal Article · 20 July 2022 · Physical Review D

DOI: https://doi.org/10.1103/PhysRevD.106.014508 · OSTI ID:1876926

Christ, Norman;

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Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0011941

OSTI ID:: 1876926

Journal Information:: Physical Review D, Journal Name: Physical Review D Journal Issue: 1 Vol. 106; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (29)

Isospin-violating contributions to ∈′/∈ Cirigliano, V.; Gisbert, H.; Pich, A. Journal of High Energy Physics, Vol. 2020, Issue 2 https://doi.org/10.1007/JHEP02(2020)032	journal	February 2020
Weak Transition Matrix Elements¶from Finite-Volume Correlation Functions Lellouch, Laurent; Lüscher, Martin Communications in Mathematical Physics, Vol. 219, Issue 1 https://doi.org/10.1007/s002200100410	journal	May 2001
$K \to \pi\pi$ phenomenology in the presence of electromagnetism Cirigliano, V.; Donoghue, J. F.; Golowich, E. The European Physical Journal C, Vol. 18, Issue 1 https://doi.org/10.1007/s100520000530	journal	December 2000
The infrared divergence phenomena and high-energy processes Yennie, D. R.; Frautschi, S. C.; Suura, H. Annals of Physics, Vol. 13, Issue 3 https://doi.org/10.1016/0003-4916(61)90151-8	journal	June 1961
Two-particle states on a torus and their relation to the scattering matrix Lüscher, Martin Nuclear Physics B, Vol. 354, Issue 2-3 https://doi.org/10.1016/0550-3213(91)90366-6	journal	May 1991
Analytic methods from finite to infinite volumes van Baal, Pierre Nuclear Physics B - Proceedings Supplements, Vol. 20 https://doi.org/10.1016/0920-5632(91)90871-B	journal	May 1991
A precision measurement of direct CP violation in the decay of neutral kaons into two pions Batley, J. R.; Dosanjh, R. S.; Gershon, T. J. Physics Letters B, Vol. 544, Issue 1-2 https://doi.org/10.1016/S0370-2693(02)02476-0	journal	September 2002
Dynamics of the Standard Model, 2nd edition Donoghue, John F.; Golowich, Eugene; Holstein, Barry R. https://doi.org/10.1017/CBO9780511803512	book	June 2014
Quantum Field Theory Srednicki, Mark Cambridge University Press https://doi.org/10.1017/CBO9780511813917	book	January 2007
Including electromagnetism in K → ππ decay calculations Christ, Norman; Feng, Xu EPJ Web of Conferences, Vol. 175 https://doi.org/10.1051/epjconf/201817513016	journal	January 2018
Quantum-Mechanical Many-Body Problem with Hard-Sphere Interaction Huang, Kerson; Yang, C. N. Physical Review, Vol. 105, Issue 3 https://doi.org/10.1103/PhysRev.105.767	journal	February 1957
Energy Bands in Periodic Lattices—Green's Function Method Ham, F. S.; Segall, B. Physical Review, Vol. 124, Issue 6 https://doi.org/10.1103/PhysRev.124.1786	journal	December 1961
Degenerate Systems and Mass Singularities Lee, T. D.; Nauenberg, M. Physical Review, Vol. 133, Issue 6B https://doi.org/10.1103/PhysRev.133.B1549	journal	March 1964
Note on the Radiation Field of the Electron Bloch, F.; Nordsieck, A. Physical Review, Vol. 52, Issue 2 https://doi.org/10.1103/PhysRev.52.54	journal	July 1937
Direct C P violation and the Δ I = 1 / 2 rule in K → π π decay from the standard model Abbott, R.; Blum, T.; Boyle, P. A. Physical Review D, Vol. 102, Issue 5 https://doi.org/10.1103/PhysRevD.102.054509	journal	September 2020
Charged multihadron systems in lattice QCD + QED Beane, S. R.; Detmold, W.; Horsley, R. Physical Review D, Vol. 103, Issue 5 https://doi.org/10.1103/PhysRevD.103.054504	journal	March 2021
Electromagnetic corrections to K → π π . I. Chiral perturbation theory Cirigliano, Vincenzo; Donoghue, John F.; Golowich, Eugene Physical Review D, Vol. 61, Issue 9 https://doi.org/10.1103/PhysRevD.61.093001	journal	March 2000
Electromagnetic corrections to K → π π . II. Dispersive matching Cirigliano, Vincenzo; Donoghue, John F.; Golowich, Eugene Physical Review D, Vol. 61, Issue 9 https://doi.org/10.1103/PhysRevD.61.093002	journal	March 2000
The strong isospin-breaking correction for the gluonic penguin contribution to ε ′ / ε at next-to-leading order in the chiral expansion Wolfe, Carl E.; Maltman, Kim Physical Review D, Vol. 63, Issue 1 https://doi.org/10.1103/PhysRevD.63.014008	journal	December 2000
Erratum: Electromagnetic corrections to K → π π . I. Chiral perturbation theory [Phys. Rev. D 61, 093001 (2000)] Cirigliano, Vincenzo; Donoghue, John F.; Golowich, Eugene Physical Review D, Vol. 63, Issue 5 https://doi.org/10.1103/PhysRevD.63.059903	journal	February 2001
Precise measurements of direct C P violation, C P T symmetry, and other parameters in the neutral kaon system Abouzaid, E.; Arenton, M.; Barker, A. R. Physical Review D, Vol. 83, Issue 9 https://doi.org/10.1103/PhysRevD.83.092001	journal	May 2011
Two-particle elastic scattering in a finite volume including QED Beane, Silas R.; Savage, Martin J. Physical Review D, Vol. 90, Issue 7 https://doi.org/10.1103/PhysRevD.90.074511	journal	October 2014
Effects of finite volume on the K L − K S mass difference Christ, N. H.; Feng, X.; Martinelli, G. Physical Review D, Vol. 91, Issue 11 https://doi.org/10.1103/PhysRevD.91.114510	journal	June 2015
Theoretical aspects of quantum electrodynamics in a finite volume with periodic boundary conditions Davoudi, Z.; Harrison, J.; Jüttner, A. Physical Review D, Vol. 99, Issue 3 https://doi.org/10.1103/PhysRevD.99.034510	journal	February 2019
On the splitting parameter in the Ewald method Kustepeli, A.; Martin, A. Q. IEEE Microwave and Guided Wave Letters, Vol. 10, Issue 5 https://doi.org/10.1109/75.850366	journal	May 2000
Ab initio calculation of the neutron-proton mass difference Borsanyi, S.; Durr, S.; Fodor, Z. Science, Vol. 347, Issue 6229 https://doi.org/10.1126/science.1257050	journal	March 2015
Isospin breaking in $K \rightarrow \pi\pi$ decays Cirigliano, V.; Ecker, G.; Neufeld, H. The European Physical Journal C, Vol. 33, Issue 3 https://doi.org/10.1140/epjc/s2003-01579-3	journal	March 2004
QED in Finite Volume and Finite Size Scaling Effect on Electromagnetic Properties of Hadrons Uno, S.; Hayakawa, M. Progress of Theoretical Physics, Vol. 120, Issue 3 https://doi.org/10.1143/PTP.120.413	journal	September 2008
QED-corrected Lellouch-Luescher formula for $K \rightarrow \pi\pi$ decay Cai, Yiming; Davoudi, Zohreh Proceedings of The 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018) https://doi.org/10.22323/1.334.0280	conference	May 2019