Pion-photon transition form factor in light cone sum rules and tests of asymptotics

Stefanis, N.G.

doi:10.1103/PhysRevD.102.034022

Pion-photon transition form factor in light cone sum rules and tests of asymptotics

N.G. Stefanis
(
- Ruhr U., Bochum
)

Jun 17, 2020

16 pages

Published in:

Phys.Rev.D 102 (2020) 3, 034022

Published: Aug 21, 2020

e-Print:

2006.10576 [hep-ph]

DOI:

10.1103/PhysRevD.102.034022 (publication)

Report number:

RUB-TPII-01/2020

View in:

ADS Abstract Service

reference search28 citations

Citations per year

Abstract: (APS)

We study the pion-photon transition form factor (TFF) Fγ*γπ0(Q2) using a state-of-the art implementation of light cone sum rules (LCSRs) within fixed-order QCD perturbation theory. The spectral density in the dispersion relation includes all currently known radiative corrections up to the next-to-next-to-leading-order (NNLO) and all twist contributions up to order six. Predictions for the TFF are obtained for various pion distribution amplitudes (DAs) of twist two, including two-loop evolution which accounts for heavy-quark mass thresholds. The influence of the main theoretical uncertainties is quantified in order to enable a more realistic comparison with the data. The characteristics of various pion DAs are analyzed in terms of the conformal coefficients a2 and a4 in comparison with the 1σ and 2σ error regions of the data and the most recent lattice constraints on a2 with NLO and NNLO accuracy. Our results provide more stringent bounds on the variation of the pion DA and illuminate the corresponding asymptotic behavior of the calculated TFF.

Note:

16 pages, 3 tables, 4 figures; derives partly from arXiv:1904.02631; text revised and expanded; more and updated figures; references added; discussion of new results. References added. V3 matches version accepted for publication in Physical Review D

Strong Interactions
form factor: transition
pi: form factor
pi: distribution amplitude
twist: 2
higher-twist
quantum chromodynamics: perturbation theory
sum rule: light cone
heavy quark: mass
density: spectral

References(98)

Figures(6)

[1]

Radiative Decay Sigma+ ---> p gamma in Quantum Chromodynamics

- Nucl.Phys.B 312 (1989) 509-550
•
DOI:
- 10.1016/0550-3213(89)90570-1

[2]

Form-factors of gamma* rho ---> pi and gamma* gamma ---> pi0 transitions and light cone sum rules

Alexander Khodjamirian
(
- Wurzburg U.
)

- Eur.Phys.J.C 6 (1999) 477-484
•
e-Print:
- hep-ph/9712451
•
DOI:
- 10.1007/s100520050357

[3]

Measurement of the gamma gamma* ---> pi0 transition form factor

BaBar

Collaboration

•

Bernard Aubert
(
- Annecy, LAPP
)

et al.

- Phys.Rev.D 80 (2009) 052002
•
e-Print:
- 0905.4778
•
DOI:
- 10.1103/PhysRevD.80.052002

[4]

Measurement of $\gamma \gamma^* \to \pi^0$ transition form factor at Belle

Belle

Collaboration

•

S. Uehara
(
- KEK, Tsukuba
)

et al.

- Phys.Rev.D 86 (2012) 092007
•
e-Print:
- 1205.3249
•
DOI:
- 10.1103/PhysRevD.86.092007

[5]

Comparing antithetic trends of data for the pion-photon transition form factor

A.P. Bakulev
(
- Dubna, JINR
)
,
S.V. Mikhailov
(
- Dubna, JINR
)
,
A.V. Pimikov
(
- Dubna, JINR and
- Valencia U., IFIC
)
,
N.G. Stefanis
(
- Ruhr U., Bochum
)

- Phys.Rev.D 86 (2012) 031501
•
e-Print:
- 1205.3770
•
DOI:
- 10.1103/PhysRevD.86.031501

[6]

Can We Understand an Auxetic Pion-Photon Transition Form Factor within QCD?

N.G. Stefanis
(
- Ruhr U., Bochum
)
,
A.P. Bakulev
(
- Dubna, JINR
)
,
S.V. Mikhailov
(
- Dubna, JINR
)
,
A.V. Pimikov
(
- Dubna, JINR and
- Valencia U., IFIC
)

- Phys.Rev.D 87 (2013) 9, 094025
•
e-Print:
- 1202.1781
•
DOI:
- 10.1103/PhysRevD.87.094025

[7]

Systematic estimation of theoretical uncertainties in the calculation of the pion-photon transition form factor using light-cone sum rules

S.V. Mikhailov
(
- Dubna, JINR
)
,
A.V. Pimikov
(
- Lanzhou, Inst. Modern Phys. and
- Dubna, JINR
)
,
N.G. Stefanis
(
- Ruhr U., Bochum
)

- Phys.Rev.D 93 (2016) 11, 114018
•
e-Print:
- 1604.06391
•
DOI:
- 10.1103/PhysRevD.93.114018

[8]

Light Cone Sum Rules for the pi0-gamma*-gamma Form Factor Revisited

S.S. Agaev
(
- Regensburg U. and
- Baku State U.
)
,
V.M. Braun
(
- Regensburg U.
)
,
N. Offen
(
- Regensburg U.
)
,
F.A. Porkert
(
- Regensburg U.
)

- Phys.Rev.D 83 (2011) 054020
•
e-Print:
- 1012.4671
•
DOI:
- 10.1103/PhysRevD.83.054020

[9]

Calculation of the pion-photon transition form factor using dispersion relations and renormalization-group summation

César Ayala
(
- Santa Maria U., Valparaiso
)
,
S.V. Mikhailov
(
- Dubna, JINR
)
,
N.G. Stefanis
(
- Ruhr U., Bochum
)

- Phys.Rev.D 98 (2018) 9, 096017,
- Phys.Rev.D 101 (2020) 5, 059901 (erratum)
•
e-Print:
- 1806.07790
•
DOI:
- 10.1103/PhysRevD.98.096017

[10]

A Measurement of the pi0, eta and eta-prime electromagnetic form-factors

CELLO

Collaboration

•

H.J. Behrend
(
- DESY
)

et al.

- Z.Phys.C 49 (1991) 401-410
•
DOI:
- 10.1007/BF01549692

[11]

Measurements of the meson - photon transition form-factors of light pseudoscalar mesons at large momentum transfer

CLEO

Collaboration

•

J. Gronberg
(
- UC, Santa Barbara
)

et al.

- Phys.Rev.D 57 (1998) 33-54
•
e-Print:
- hep-ex/9707031
•
DOI:
- 10.1103/PhysRevD.57.33

[12]

Measurements of Hadronic and Transition Form Factors at BESIII

BESIII

Collaboration

•

Christoph Florian Redmer
(
- Mainz U., Inst. Kernphys.
)

for the collaboration.

- EPJ Web Conf. 212 (2019) 04004
•
DOI:
- 10.1051/epjconf/201921204004

[13]

Future Physics Programme of BESIII

BESIII

Collaboration

•

M. Ablikim
(
- Beijing, Inst. High Energy Phys.
)

et al.

- Chin.Phys.C 44 (2020) 4, 040001
•
e-Print:
- 1912.05983
•
DOI:
- 10.1088/1674-1137/44/4/040001

[14]

The hadronic light-by-light contribution to the muon’s anomalous magnetic moment

Igor Danilkin
(
- Mainz U., Inst. Kernphys. and
- U. Mainz, PRISMA
)
,
Christoph Florian Redmer
(
- Mainz U., Inst. Kernphys. and
- U. Mainz, PRISMA
)
,
Marc Vanderhaeghen
(
- Mainz U., Inst. Kernphys. and
- U. Mainz, PRISMA
)

- Prog.Part.Nucl.Phys. 107 (2019) 20-68
•
e-Print:
- 1901.10346
•
DOI:
- 10.1016/j.ppnp.2019.05.002

[16]

QCD based pion distribution amplitudes confronting experimental data

- Phys.Lett.B 508 (2001) 279-289,
- Phys.Lett.B 590 (2004) 309-310 (erratum)
•
e-Print:
- hep-ph/0103119
•
DOI:
- 10.1016/S0370-2693(01)00517-2

[16]

QCD based pion distribution amplitudes confronting experimental data

- Phys.Lett.B 508 (2001) 279-289,
- Phys.Lett.B 590 (2004) 309-310 (erratum)
•
e-Print:
- hep-ph/0103119
•
DOI:
- 10.1016/S0370-2693(01)00517-2

[17]

What binds quarks together at different momentum scales? A conceptual scenario

N.G. Stefanis
(
- Ruhr U., Bochum
)

- Phys.Lett.B 738 (2014) 483-487
•
e-Print:
- 1405.0959
•
DOI:
- 10.1016/j.physletb.2014.10.018

[18]

Exclusive Processes in Perturbative Quantum Chromodynamics

G.Peter Lepage
(
- Cornell U., LNS
)
,
Stanley J. Brodsky
(
- SLAC
)

- Phys.Rev.D 22 (1980) 2157
•
DOI:
- 10.1103/PhysRevD.22.2157

[19]

Large Angle Two Photon Exclusive Channels in Quantum Chromodynamics

Stanley J. Brodsky
(
- SLAC
)
,
G.Peter Lepage
(
- Cornell U., LNS
)

- Phys.Rev.D 24 (1981) 1808,
- Paris Photon-Photon 1981:205
•
DOI:
- 10.1103/PhysRevD.24.1808

[20]

QCD Sum Rules in Exclusive Kinematics and Pion Wave Function

- Z.Phys.C 44 (1989) 157,
- Sov.J.Nucl.Phys. 50 (1989) 511,
- Yad.Fiz. 50 (1989) 818-830
•
DOI:
- 10.1007/BF01548594

[20]

QCD Sum Rules in Exclusive Kinematics and Pion Wave Function

- Z.Phys.C 44 (1989) 157,
- Sov.J.Nucl.Phys. 50 (1989) 511,
- Yad.Fiz. 50 (1989) 818-830
•
DOI:
- 10.1007/BF01548594

[21]

Asymptotical Behavior of Pion Electromagnetic Form-Factor in QCD

A.V. Efremov
(
- Dubna, JINR
)
,
A.V. Radyushkin
(
- Dubna, JINR
)

- Theor.Math.Phys. 42 (1980) 97-110,
- Teor.Mat.Fiz. 42 (1980) 147-166,
- Theor.Math.Phys.42 (1980) 97-110 and Dubna Jinr - 11983 (78,REC.MAR 79) 32p
•
DOI:
- 10.1007/BF01032111

[22]

The Physics of exclusive reactions in QCD: Theory and phenomenology

N.G. Stefanis
(
- Ruhr U., Bochum
)

- Eur.Phys.J.direct 1 (1999) 1, 7
•
e-Print:
- hep-ph/9911375
•
DOI:
- 10.1007/s1010599c0007

[23]

Radiative Corrections to the Pion Form-factor in Quantum Chromodynamics. (In Russian)

F.M. Dittes
(
- Dubna, JINR
)
,
A.V. Radyushkin
(
- Dubna, JINR
)

- Sov.J.Nucl.Phys. 34 (1981) 293,
- Yad.Fiz. 34 (1981) 529-540,
- Yad. Fiz. 34 ( 1981) 529-540

[23]

Radiative Corrections to the Pion Form-factor in Quantum Chromodynamics. (In Russian)

F.M. Dittes
(
- Dubna, JINR
)
,
A.V. Radyushkin
(
- Dubna, JINR
)

- Sov.J.Nucl.Phys. 34 (1981) 293,
- Yad.Fiz. 34 (1981) 529-540,
- Yad. Fiz. 34 ( 1981) 529-540

1-25 of 98
1
2
3
4
25 / page