Addendum to: Light-cone distribution amplitudes of pseudoscalar mesons from lattice QCD
- PDF / 139,574 Bytes
- 3 Pages / 595.276 x 841.89 pts (A4) Page_size
- 11 Downloads / 202 Views
Springer
Received: September 29, 2020 Accepted: October 1, 2020 Published: November 10, 2020
Addendum: Light-cone distribution amplitudes of pseudoscalar mesons from lattice QCD
a
Institut für Theoretische Physik, Universität Regensburg, 93040 Regensburg, Germany b Department of Theoretical Physics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India c Marian Smoluchowski Institute of Physics, Jagiellonian University, ul. Łojasiewicza 11, 30-348 Kraków, Poland d Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universität Jena, 07743 Jena, Germany
E-mail: [email protected], [email protected], [email protected], [email protected], [email protected], [email protected], [email protected], [email protected], [email protected], [email protected] Addendum to: JHEP08(2019)065 Abstract: We update our lattice determination of the two lowest Gegenbauer moments of the leading-twist pion and kaon light-cone distribution amplitudes [1] using the recently calculated three-loop matching factors for the conversion from the RI0 /SMOM to the MS +31 +15 K K scheme [2, 3]. We find aπ2 = 0.116+19 −20 for the pion, a1 = 0.0525−33 and a2 = 0.106−16 for the kaon. Updated plots can be found in the appendix in the arXiv submission. ArXiv ePrint: 1903.08038 We have rerun our analysis [1] using the newly available three-loop matching (N3 LO) for the conversion from the RI0/SMOM to the MS scheme [2, 3]. The results can be taken from table 1, which is an updated version of table 3 in the main article [1]. As one can see, the errors of the renormalization procedure are reduced considerably. The new N 3 LO results for aπ2 and aK 2 are slightly larger, but are still consistent with the previous NNLO result within errors. Considering the first moment of the kaon distribution amplitude, where we can compare results using RI0/SMOM or RI0/MOM as intermediate schemes, it
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP11(2020)037
JHEP11(2020)037
Gunnar S. Bali,a,b Vladimir M. Braun,a Simon Bürger,a Meinulf Göckeler,a Michael Gruber,a Fabian Hutzler,a Piotr Korcyl,c Andreas Schäfer,a André Sternbeckd and Philipp Weina on behalf of the RQCD collaboration
M
RI0
order
π
SMOM
N3 LO
0.240+6 −6 (2)r (3)a (2)m
0.116+16 −17 (4)r (9)a (5)m
π
SMOM
NNLO
0.234+6 −6 (4)r (4)a (2)m
0.101+17 −17 (12)r (10)a (5)m
π
SMOM
NLO
0.227+6 −6 (5)r (5)a (2)m
0.078+18 −19 (16)r (13)a (5)m
K
SMOM
N3 LO
0.236+3 −4 (1)r (3)a (1)m
0.106+10 −12 (4)r (9)a (4)m
K
SMOM
NNLO
0.231+4 −4 (4)r (4)a (1)m
0.090+10 −12 (11)r (11)a (4)m
K
SMOM
NLO
0.223+4 −5 (5)r (5)a (2)m
0.067+11 −13 (16)r (14)a (5)m
η8
SMOM
N3 LO
0.235+3 −4 (1)r (3)a (1)m
0.103+10 −13 (4)r (9)a (4)m
η8
SMOM
NNLO
0.230+4 −4 (4)r (4)a (1)m
0.087+10 −13 (11)r (11)a (4)m
η8
SMOM
NLO
0.222+4 −5 (6)r (5)a (2)m
0.063+11 −14 (16)r (14)a (5)m
M
RI0
order
hξ 1 iM
aM 1
K
SMOM
N3 LO
0.0315+10 −11 (2)r (12)a (10)m
0.0525+17 −19 (3)r (20)a (17)m
K
SMOM
NNLO
0.03
Data Loading...
