Perturbative QCD factorization of pi gamma* ---> gamma (pi) and B ---> gamma (pi) lepton anti-neutrino - INSPIRE

DataBETA

Perturbative QCD factorization of pi gamma* ---> gamma (pi) and B ---> gamma (pi) lepton anti-neutrino

Hsiang-nan Li
(
- Taiwan, Natl. Cheng Kung U.
)

Dec, 2000

20 pages

Published in:

Phys.Rev.D 64 (2001) 014019

e-Print:

hep-ph/0012140 [hep-ph]

DOI:

10.1103/PhysRevD.64.014019

Report number:

NCKU-HEP-00-07

View in:

reference search100 citations

Citations per year

Abstract:

We prove factorization theorem for the processes

\pi\gamma^*\to\gamma

and

\pi\gamma^*\to\pi

to leading twist in the covariant gauge by means of the Ward identity. Soft divergences cancel and collinear divergences are grouped into a pion wave function defined by a nonlocal matrix element. The gauge invariance and universality of the pion wave function are confirmed. The proof is then extended to the exclusive

B

meson decays

B\to\gamma l\bar\nu

and

B\to\pi l\bar\nu

in the heavy quark limit. It is shown that a light-cone

B

meson wave function, though absorbing soft dynamics, can be defined in an appropriate frame. Factorization of the

B\to\pi l\bar\nu

decay in

k_T

space,

k_T

being parton transverse momenta, is briefly discussed. We comment on the extraction of the leading-twist pion wave function from experimental data.

quantum chromodynamics: perturbation theory
factorization
photon pi: interaction
off-shell
pi: form factor
form factor: transition
B: radiative decay
B: semileptonic decay
decay: exclusive reaction
Ward identity

References(39)

Figures(0)

Exclusive Processes in Quantum Chromodynamics: Evolution Equations for Hadronic Wave Functions and the Form-Factors of Mesons

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

- Phys.Lett.B 87 (1979) 359-365
•
DOI:
- 10.1016/0370-2693(79)90554-9

Exclusive Processes in Quantum Chromodynamics: The Form Factors of Baryons at Large Momentum Transfer

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

- Phys.Rev.Lett. 43 (1979) 21, 545-549,
- Phys.Rev.Lett. 43 (1979) 1625-1626 (erratum)
•
DOI:
- 10.1103/PhysRevLett.43.1625.2

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

Hadronic Wave Functions at Short Distances and the Operator Product Expansion

- Phys.Lett.B 91 (1980) 239-244
•
DOI:
- 10.1016/0370-2693(80)90441-4

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

Factorization and Asymptotical Behavior of Pion Form-Factor in QCD

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

- Phys.Lett.B 94 (1980) 245-250
•
DOI:
- 10.1016/0370-2693(80)90869-2

Transverse momentum and Sudakov effects in exclusive QCD processes: Gamma* gamma pi0 form-factor

I.V. Musatov
(
- Old Dominion U. and
- Jefferson Lab
)
,
A.V. Radyushkin
(
- Old Dominion U. and
- Jefferson Lab
)

- Phys.Rev.D 56 (1997) 2713-2735
•
e-Print:
- hep-ph/9702443
•
DOI:
- 10.1103/PhysRevD.56.2713

Asymptotic Behavior of Exclusive and Almost Exclusive Processes

A. Duncan
(
- Columbia U.
)
,
Alfred H. Mueller
(
- Columbia U.
)

- Phys.Lett.B 90 (1980) 159-163
•
DOI:
- 10.1016/0370-2693(80)90074-X

Asymptotic Behavior of Composite Particle Form-Factors and the Renormalization Group

A. Duncan
(
- Columbia U.
)
,
Alfred H. Mueller
(
- Columbia U.
)

- Phys.Rev.D 21 (1980) 1636
•
DOI:
- 10.1103/PhysRevD.21.1636

Radiative leptonic decays of B mesons in QCD

- Phys.Rev.D 61 (2000) 114510
•
e-Print:
- hep-ph/9911427
•
DOI:
- 10.1103/PhysRevD.61.114510

Extraction of V(ub) from decay B ---> pi lepton neutrino

- Phys.Rev.Lett. 74 (1995) 4388-4391
•
e-Print:
- hep-ph/9409313
•
DOI:
- 10.1103/PhysRevLett.74.4388

PQCD analysis of exclusive charmless B meson decay spectra

- Phys.Lett.B 353 (1995) 301-305
•
DOI:
- 10.1016/0370-2693(95)00557-2

Perturbative QCD analysis of B meson decays

- Phys.Rev.D 53 (1996) 2480-2490
•
e-Print:
- hep-ph/9411308
•
DOI:
- 10.1103/PhysRevD.53.2480

Asymptotics of heavy meson form-factors

A.G. Grozin
(
- Novosibirsk, IYF
)
,
M. Neubert
(
- CERN
)

- Phys.Rev.D 55 (1997) 272-290
•
e-Print:
- hep-ph/9607366
•
DOI:
- 10.1103/PhysRevD.55.272

Symmetry breaking corrections to heavy to light B meson form-factors at large recoil

- Nucl.Phys.B 592 (2001) 3-34
•
e-Print:
- hep-ph/0008255
•
DOI:
- 10.1016/S0550-3213(00)00585-X

HIGHER ORDER QCD CORRECTIONS TO EXCLUSIVE TWO PHOTON PROCESSES

F. del Aguila
(
- Oxford U.
)
,
M.K. Chase
(
- Oxford U.
)

- Nucl.Phys.B 193 (1981) 517-528
•
DOI:
- 10.1016/0550-3213(81)90344-8

QCD CORRECTIONS TO MESON - PHOTON TRANSITION FORM-FACTORS

Eric Braaten
(
- Florida U.
)

- Phys.Rev.D 28 (1983) 524
•
DOI:
- 10.1103/PhysRevD.28.524

Total $\alpha^- s$ Corrections to Processes $\gamma^* \gamma^* \to \pi^0$ and $\gamma^* \pi \to \pi$ in a Perturbative {QCD}

- Yad.Fiz. 44 (1986) 507-516,
- Sov.J.Nucl.Phys. 44 (1986) 326,
- Yad. Fiz. 44 (1986) 507-516 and Dubna Jinr - 85-763 (85,REC.JAN.86) 15p

The Abelian Higgs-Kibble Model. Unitarity of the S Operator

- Phys.Lett.B 52 (1974) 344-346
•
DOI:
- 10.1016/0370-2693(74)90058-6

Complete next-to-leading order perturbative QCD prediction for the pion form-factor

- Phys.Rev.D 60 (1999) 074004
•
e-Print:
- hep-ph/9802204
•
DOI:
- 10.1103/PhysRevD.60.074004

Exclusive semileptonic decays of B mesons into light mesons

R. Akhoury
(
- Michigan U.
)
,
George F. Sterman
(
- SUNY, Stony Brook
)
,
Y.P. Yao
(
- Michigan U.
)

- Phys.Rev.D 50 (1994) 358-372
•
DOI:
- 10.1103/PhysRevD.50.358

The Perturbative pion form-factor with Sudakov suppression

- Nucl.Phys.B 381 (1992) 129-140
•
DOI:
- 10.1016/0550-3213(92)90643-P

- Nucl.Phys.B 225 62

The Pi gamma transition form-factor and the pion wave function

P. Kroll
(
- Wuppertal U.
)
,
M. Raulfs
(
- Wuppertal U.
)

- Phys.Lett.B 387 (1996) 848-854
•
e-Print:
- hep-ph/9605264
•
DOI:
- 10.1016/0370-2693(96)01101-X

Optimal renormalization scale and scheme for exclusive processes

Stanley J. Brodsky
(
- SLAC
)
,
Chueng-Ryong Ji
(
- North Carolina State U.
)
,
Alex Pang
(
- Indiana U.
)
,
David G. Robertson
(
- Ohio State U.
)

- Phys.Rev.D 57 (1998) 245-252
•
e-Print:
- hep-ph/9705221
•
DOI:
- 10.1103/PhysRevD.57.245

1-25 of 39
1
2
25 / page