Kaon distribution amplitude from lattice QCD and the flavor SU(3) symmetry
Abstract
We present the first lattice-QCD calculation of the kaon distribution amplitude using the large-momentum effective theory (LaMET) approach. The momentum-smearing technique has been implemented to improve signals at large meson momenta. We subtract the power divergence due to Wilson line to high precision using multiple lattice spacings. The kaon structure clearly shows an asymmetry of the distribution amplitude around x = 1/2, a clear sign of its skewness. Our result also prefers a broader distribution than the asymptotic form. We also study the leading SU(3) flavor symmetry breaking relations for the pion, kaon and eta meson distribution amplitudes, and the results are consistent with the prediction from chiral perturbation theory.
- Authors:
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC); Univ. of California, Oakland, CA (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1488962
- Alternate Identifier(s):
- OSTI ID: 1543585
- Grant/Contract Number:
- AC02-05CH11231; EC0012704; SC0011090
- Resource Type:
- Published Article
- Journal Name:
- Nuclear Physics. B
- Additional Journal Information:
- Journal Name: Nuclear Physics. B Journal Volume: 939 Journal Issue: C; Journal ID: ISSN 0550-3213
- Publisher:
- Elsevier
- Country of Publication:
- Netherlands
- Language:
- English
- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS; Physics
Citation Formats
Zhang, Rui, Chen, Jiunn-Wei, Jin, Luchang, Lin, Huey-Wen, Schäfer, Andreas, Sun, Peng, Yang, Yi-Bo, Zhang, Jian-Hui, and Zhao, Yong. Kaon distribution amplitude from lattice QCD and the flavor SU(3) symmetry. Netherlands: N. p., 2019.
Web. doi:10.1016/j.nuclphysb.2018.12.020.
Zhang, Rui, Chen, Jiunn-Wei, Jin, Luchang, Lin, Huey-Wen, Schäfer, Andreas, Sun, Peng, Yang, Yi-Bo, Zhang, Jian-Hui, & Zhao, Yong. Kaon distribution amplitude from lattice QCD and the flavor SU(3) symmetry. Netherlands. https://doi.org/10.1016/j.nuclphysb.2018.12.020
Zhang, Rui, Chen, Jiunn-Wei, Jin, Luchang, Lin, Huey-Wen, Schäfer, Andreas, Sun, Peng, Yang, Yi-Bo, Zhang, Jian-Hui, and Zhao, Yong. Fri .
"Kaon distribution amplitude from lattice QCD and the flavor SU(3) symmetry". Netherlands. https://doi.org/10.1016/j.nuclphysb.2018.12.020.
@article{osti_1488962,
title = {Kaon distribution amplitude from lattice QCD and the flavor SU(3) symmetry},
author = {Zhang, Rui and Chen, Jiunn-Wei and Jin, Luchang and Lin, Huey-Wen and Schäfer, Andreas and Sun, Peng and Yang, Yi-Bo and Zhang, Jian-Hui and Zhao, Yong},
abstractNote = {We present the first lattice-QCD calculation of the kaon distribution amplitude using the large-momentum effective theory (LaMET) approach. The momentum-smearing technique has been implemented to improve signals at large meson momenta. We subtract the power divergence due to Wilson line to high precision using multiple lattice spacings. The kaon structure clearly shows an asymmetry of the distribution amplitude around x = 1/2, a clear sign of its skewness. Our result also prefers a broader distribution than the asymptotic form. We also study the leading SU(3) flavor symmetry breaking relations for the pion, kaon and eta meson distribution amplitudes, and the results are consistent with the prediction from chiral perturbation theory.},
doi = {10.1016/j.nuclphysb.2018.12.020},
journal = {Nuclear Physics. B},
number = C,
volume = 939,
place = {Netherlands},
year = {Fri Feb 01 00:00:00 EST 2019},
month = {Fri Feb 01 00:00:00 EST 2019}
}
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https://doi.org/10.1016/j.nuclphysb.2018.12.020
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Works referenced in this record:
A complete non-perturbative renormalization prescription for quasi-PDFs
journal, October 2017
- Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
- Nuclear Physics B, Vol. 923
Exclusive processes in position space and the pion distribution amplitude
journal, May 2008
- Braun, V. M.; Müller, D.
- The European Physical Journal C, Vol. 55, Issue 3
Quasi-parton distribution functions, momentum distributions, and pseudo-parton distribution functions
journal, August 2017
- Radyushkin, A. V.
- Physical Review D, Vol. 96, Issue 3
QCD Factorization for Decays: Strong Phases and Violation in the Heavy Quark Limit
journal, September 1999
- Beneke, M.; Buchalla, G.; Neubert, M.
- Physical Review Letters, Vol. 83, Issue 10
Distribution amplitudes of light-quark mesons from lattice QCD
journal, April 2014
- Segovia, Jorge; Chang, Lei; Cloët, Ian C.
- Physics Letters B, Vol. 731
One-loop matching for transversity generalized parton distribution
journal, September 2015
- Xiong, Xiaonu; Zhang, Jian-Hui
- Physical Review D, Vol. 92, Issue 5
Belle data on the form factor: A game changer?
journal, October 2012
- Agaev, S. S.; Braun, V. M.; Offen, N.
- Physical Review D, Vol. 86, Issue 7
Improved quasi parton distribution through Wilson line renormalization
journal, February 2017
- Chen, Jiunn-Wei; Ji, Xiangdong; Zhang, Jian-Hui
- Nuclear Physics B, Vol. 915
Exclusive processes in quantum chromodynamics: Evolution equations for hadronic wavefunctions and the form factors of mesons
journal, November 1979
- Peter Lepage, G.; Brodsky, Stanley J.
- Physics Letters B, Vol. 87, Issue 4
Renormalizability of quasiparton distribution functions
journal, November 2017
- Ishikawa, Tomomi; Ma, Yan-Qing; Qiu, Jian-Wei
- Physical Review D, Vol. 96, Issue 9
Lattice QCD exploration of parton pseudo-distribution functions
journal, November 2017
- Orginos, Kostas; Radyushkin, Anatoly; Karpie, Joseph
- Physical Review D, Vol. 96, Issue 9
QCD factorization in B→πK, ππ decays and extraction of Wolfenstein parameters
journal, July 2001
- Beneke, M.; Buchalla, G.; Neubert, M.
- Nuclear Physics B, Vol. 606, Issue 1-2
Highly improved staggered quarks on the lattice with applications to charm physics
journal, March 2007
- Follana, E.; Mason, Q.; Davies, C.
- Physical Review D, Vol. 75, Issue 5
More on large-momentum effective theory approach to parton physics
journal, November 2017
- Ji, Xiangdong; Zhang, Jian-Hui; Zhao, Yong
- Nuclear Physics B, Vol. 924
Nucleon helicity and transversity parton distributions from lattice QCD
journal, October 2016
- Chen, Jiunn-Wei; Cohen, Saul D.; Ji, Xiangdong
- Nuclear Physics B, Vol. 911
Flavour symmetry breaking in the kaon parton distribution amplitude
journal, November 2014
- Shi, Chao; Chang, Lei; Roberts, Craig D.
- Physics Letters B, Vol. 738
Target mass effects in parton quasi-distributions
journal, July 2017
- Radyushkin, A. V.
- Physics Letters B, Vol. 770
Parton physics from large-momentum effective field theory
journal, May 2014
- Ji, XiangDong
- Science China Physics, Mechanics & Astronomy, Vol. 57, Issue 7
Separated kaon electroproduction cross section and the kaon form factor from 6 GeV JLab data
journal, February 2018
- Carmignotto, M.; Ali, S.; Aniol, K.
- Physical Review C, Vol. 97, Issue 2
Perturbative renormalization of quasi-parton distribution functions
journal, September 2017
- Constantinou, Martha; Panagopoulos, Haralambos
- Physical Review D, Vol. 96, Issue 5
Origin of difference between u ¯ and d ¯ partons in the nucleon
journal, March 1994
- Liu, Keh-Fei; Dong, Shao-Jing
- Physical Review Letters, Vol. 72, Issue 12
Renormalons and the heavy quark effective theory
journal, July 1995
- Martinelli, G.; Sachrajda, C. T.
- Physics Letters B, Vol. 354, Issue 3-4
The Chroma Software System for Lattice QCD
journal, March 2005
- Edwards, Robert G.; Joó, Bálint
- Nuclear Physics B - Proceedings Supplements, Vol. 140