Radiative decay of the resonant K * and the γ K → K π amplitude from lattice QCD

Radhakrishnan, Archana; Dudek, Jozef J.; Edwards, Robert G.

doi:10.1103/PhysRevD.106.114513

Title: Radiative decay of the resonant $K^{*}$ and the $γ K \to K π$ amplitude from lattice QCD

Journal Article · Wed Dec 28 00:00:00 EST 2022 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.106.114513· OSTI ID:1906995

;

We present the first calculation in lattice QCD of the process $$\gamma K \to K\pi$$ in which the narrow $K^*$ vector resonance appears. Using a lattice on which the pion has a mass of 284 MeV, we determine the transition amplitude at 128 points in the $$(Q^2, E_{K\!\pi})$$ plane, and find suitable resonant scattering descriptions. We demonstrate the need to account for $$S$$--wave $$K\pi$$ elastic scattering when converting the finite-volume matrix elements computed in lattice QCD to the physically relevant infinite-volume matrix elements, even when we are primarily interested in the $$P$$--wave amplitude. Analytically continuing parameterizations of the $$\gamma K \to K\pi$$ amplitude to the $K^*$ resonance pole, we obtain the $$K^{*+} \to K^+ \gamma$$ transition form-factor, and compare the $Q^2=0$ value to the corresponding value extracted from the experimental partial-decay width.

View Journal Article

Cite

Export

Save

Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); National Science Foundation (NSF); Commonwealth of Virginia Equipment Trust

Grant/Contract Number:: SC0018416; AC05-06OR23177; AC05-00OR22725; AC02-05CH11231; OCI-0725070; ACI-1238993; ACI-1548562; PHY-1626177

OSTI ID:: 1906995

Alternate ID(s):: OSTI ID: 1907408

Report Number(s):: JLAB-THY-22-3709; arXiv:2208.13755; DOE/OR/23177-5603; PRVDAQ; 114513

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 106 Journal Issue: 11; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (37)

Measurement of the Radiative Decay WidthΓ(K¯*0(890)→K¯0γ) Carithers, W. C.; Mühlemann, P.; Underwood, D. Physical Review Letters, Vol. 35, Issue 6 https://doi.org/10.1103/PhysRevLett.35.349	journal	August 1975
Helicity operators for mesons in flight on the lattice Thomas, Christopher E.; Edwards, Robert G.; Dudek, Jozef J. Physical Review D, Vol. 85, Issue 1 https://doi.org/10.1103/PhysRevD.85.014507	journal	January 2012
Bayesian model averaging for analysis of lattice field theory results Jay, William I.; Neil, Ethan T. Physical Review D, Vol. 103, Issue 11 https://doi.org/10.1103/PhysRevD.103.114502	journal	June 2021
Measurement of the Radiative Width of the $K^{* +} (890)$ Chandlee, C.; Berg, D.; Cihangir, S. Physical Review Letters, Vol. 51, Issue 3 https://doi.org/10.1103/PhysRevLett.51.168	journal	July 1983
Tuning for three flavors of anisotropic clover fermions with stout-link smearing Edwards, Robert G.; Joó, Bálint; Lin, Huey-Wen Physical Review D, Vol. 78, Issue 5 https://doi.org/10.1103/PhysRevD.78.054501	journal	September 2008
Erratum: Energy dependence of the $ρ$ resonance in $π π$ elastic scattering from lattice QCD [Phys. Rev. D 87 , 034505 (2013)] Dudek, Jozef J.; Edwards, Robert G.; Thomas, Christopher E. Physical Review D, Vol. 90, Issue 9 https://doi.org/10.1103/PhysRevD.90.099902	journal	November 2014
$S$ - and $D$ -wave phase shifts in isospin-2 $π π$ scattering from lattice QCD Dudek, Jozef J.; Edwards, Robert G.; Thomas, Christopher E. Physical Review D, Vol. 86, Issue 3 https://doi.org/10.1103/PhysRevD.86.034031	journal	August 2012
Lattice QCD calculation of form factors describing the rare decays $B \to K^{*} ℓ^{+} ℓ^{-}$ and $B_{s} \to ϕ ℓ^{+} ℓ^{-}$ Horgan, Ronald R.; Liu, Zhaofeng; Meinel, Stefan Physical Review D, Vol. 89, Issue 9 https://doi.org/10.1103/PhysRevD.89.094501	journal	May 2014
Solving lattice QCD systems of equations using mixed precision solvers on GPUs Clark, M. A.; Babich, R.; Barros, K. Computer Physics Communications, Vol. 181, Issue 9 https://doi.org/10.1016/j.cpc.2010.05.002	journal	September 2010
Toward the excited isoscalar meson spectrum from lattice QCD Dudek, Jozef J.; Edwards, Robert G.; Guo, Peng Physical Review D, Vol. 88, Issue 9 https://doi.org/10.1103/PhysRevD.88.094505	journal	November 2013
Adaptive Multigrid Algorithm for the Lattice Wilson-Dirac Operator Babich, R.; Brannick, J.; Brower, R. C. Physical Review Letters, Vol. 105, Issue 20 https://doi.org/10.1103/PhysRevLett.105.201602	journal	November 2010
$K$ $π$ scattering for isospin $\frac{1}{2}$ and $\frac{3}{2}$ in lattice QCD Lang, C. B.; Leskovec, Luka; Mohler, Daniel Physical Review D, Vol. 86, Issue 5 https://doi.org/10.1103/PhysRevD.86.054508	journal	September 2012
$K π$ scattering and the $K^{*}$ decay width from lattice QCD Prelovsek, Sasa; Leskovec, Luka; Lang, C. B. Physical Review D, Vol. 88, Issue 5 https://doi.org/10.1103/PhysRevD.88.054508	journal	September 2013
Scattering processes and resonances from lattice QCD Briceño, Raúl A.; Dudek, Jozef J.; Young, Ross D. Reviews of Modern Physics, Vol. 90, Issue 2 https://doi.org/10.1103/RevModPhys.90.025001	journal	April 2018
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
Radiative decay of the K∗−(890) Berg, D.; Chandlee, C.; Cihangir, S. Physics Letters B, Vol. 98, Issue 1-2 https://doi.org/10.1016/0370-2693(81)90380-4	journal	January 1981
$ρ$ and $K^{*}$ resonances on the lattice at nearly physical quark masses and $N_{f} = 2$ Bali, Gunnar S.; Collins, Sara; Cox, Antonio Physical Review D, Vol. 93, Issue 5 https://doi.org/10.1103/PhysRevD.93.054509	journal	March 2016
On the solution of certain singular integral equations of quantum field theory Omnès, E. Il Nuovo Cimento, Vol. 8, Issue 2 https://doi.org/10.1007/BF02747746	journal	April 1958
Review of Particle Physics Progress of Theoretical and Experimental Physics, Vol. 2022, Issue 8 https://doi.org/10.1093/ptep/ptac097	journal	August 2022
$π γ \to π π$ transition and the $ρ$ radiative decay width from lattice QCD Alexandrou, Constantia; Leskovec, Luka; Meinel, Stefan Physical Review D, Vol. 98, Issue 7 https://doi.org/10.1103/PhysRevD.98.074502	journal	October 2018
Energy dependence of the $ρ$ resonance in $π π$ elastic scattering from lattice QCD Dudek, Jozef J.; Edwards, Robert G.; Thomas, Christopher E. Physical Review D, Vol. 87, Issue 3 https://doi.org/10.1103/PhysRevD.87.034505	journal	February 2013
The γπ → ππ anomaly from lattice QCD and dispersion relations Niehus, Malwin; Hoferichter, Martin; Kubis, Bastian Journal of High Energy Physics, Vol. 2021, Issue 12 https://doi.org/10.1007/JHEP12(2021)038	journal	December 2021
Novel quark-field creation operator construction for hadronic physics in lattice QCD Peardon, Michael; Bulava, John; Foley, Justin Physical Review D, Vol. 80, Issue 5 https://doi.org/10.1103/PhysRevD.80.054506	journal	September 2009
Constraining $1 + J \to 2$ coupled-channel amplitudes in a finite volume Briceño, Raúl A.; Dudek, Jozef J.; Leskovec, Luka Physical Review D, Vol. 104, Issue 5 https://doi.org/10.1103/PhysRevD.104.054509	journal	September 2021
Determination of s- and p-wave I = 1/2 Kπ scattering amplitudes in Nf = 2 + 1 lattice QCD Brett, Ruairí; Bulava, John; Fallica, Jacob Nuclear Physics B, Vol. 932 https://doi.org/10.1016/j.nuclphysb.2018.05.008	journal	July 2018
Excited meson radiative transitions from lattice QCD using variationally optimized operators Shultz, Christian J.; Dudek, Jozef J.; Edwards, Robert G. Physical Review D, Vol. 91, Issue 11 https://doi.org/10.1103/PhysRevD.91.114501	journal	June 2015
Scattering phase shifts for two particles of different mass and nonzero total momentum in lattice QCD Leskovec, Luka; Prelovsek, Sasa Physical Review D, Vol. 85, Issue 11 https://doi.org/10.1103/PhysRevD.85.114507	journal	June 2012
Quark-Mass Dependence of Elastic $π K$ Scattering from QCD Wilson, David J.; Briceño, Raúl A.; Dudek, Jozef J. Physical Review Letters, Vol. 123, Issue 4 https://doi.org/10.1103/PhysRevLett.123.042002	journal	July 2019
Resonant $π^{+} γ \to π^{+} π^{0}$ Amplitude from Quantum Chromodynamics Briceño, Raúl A.; Dudek, Jozef J.; Edwards, Robert G. Physical Review Letters, Vol. 115, Issue 24 https://doi.org/10.1103/PhysRevLett.115.242001	journal	December 2015
First results from $2 + 1$ dynamical quark flavors on an anisotropic lattice: Light-hadron spectroscopy and setting the strange-quark mass Lin, Huey-Wen; Cohen, Saul D.; Dudek, Jozef Physical Review D, Vol. 79, Issue 3 https://doi.org/10.1103/PhysRevD.79.034502	journal	February 2009
Constraints on Form Factors for Exclusive Semileptonic Heavy to Light Meson Decays Boyd, C. Glenn; Grinstein, Benjamín; Lebed, Richard F. Physical Review Letters, Vol. 74, Issue 23 https://doi.org/10.1103/PhysRevLett.74.4603	journal	June 1995
$π π \to π γ^{}$ amplitude and the resonant $ρ \to π γ^{}$ transition from lattice QCD Briceño, Raúl A.; Dudek, Jozef J.; Edwards, Robert G. Physical Review D, Vol. 93, Issue 11 https://doi.org/10.1103/PhysRevD.93.114508	journal	June 2016
Measurement of theK0/emph>(896)radiative width Carlsmith, D.; Bernstein, R. H.; Bock, G. J. Physical Review Letters, Vol. 56, Issue 1 https://doi.org/10.1103/PhysRevLett.56.18	journal	January 1986
Dispersive analysis of the Primakoff reaction $$\gamma K \rightarrow K \pi $$ Dax, Maximilian; Stamen, Dominik; Kubis, Bastian The European Physical Journal C, Vol. 81, Issue 3 https://doi.org/10.1140/epjc/s10052-021-08951-x	journal	March 2021
Multichannel $1 \to 2$ transition amplitudes in a finite volume Briceño, Raúl A.; Hansen, Maxwell T.; Walker-Loud, André Physical Review D, Vol. 91, Issue 3 https://doi.org/10.1103/PhysRevD.91.034501	journal	February 2015
Multichannel $0 \to 2$ and $1 \to 2$ transition amplitudes for arbitrary spin particles in a finite volume Briceño, Raúl A.; Hansen, Maxwell T. Physical Review D, Vol. 92, Issue 7 https://doi.org/10.1103/PhysRevD.92.074509	journal	October 2015
The Chroma Software System for Lattice QCD Edwards, Robert G.; Joó, Bálint Nuclear Physics B - Proceedings Supplements, Vol. 140 https://doi.org/10.1016/j.nuclphysbps.2004.11.254	journal	March 2005