On the extraction of zero momentum form factors on the lattice

We propose a method to expand correlation functions with respect to the spatial components of external momenta. From the coefficients of the expansion it is possible to extract Lorentz-invariant form factors at zero spatial momentum transfer avoiding model dependent extrapolations. These objects can be profitably calculated on the lattice. We have explicitly checked the validity of the proposed procedure by considering two-point correlators with insertions of the axial current, the form factors of the semileptonic decay of pseudoscalar mesons, and the hadronic vacuum polarization tensor entering, for example, the lattice calculation of the anomalous magnetic moment of the muon.

Note:

10 pages, 5 figures, published version

form factor: semileptonic decay
pseudoscalar meson: semileptonic decay
vacuum polarization: tensor
muon: magnetic moment
renormalization
quark: mass

References(18)

Figures(5)

[1]

Computing the slope of the Isgur-Wise function

U. Aglietti
(
- Rome U. and
- INFN, Rome
)
,
G. Martinelli
(
- Rome U. and
- INFN, Rome
)
,
Christopher T. Sachrajda
(
- Southampton U.
)

- Phys.Lett.B 324 (1994) 85-88
•
e-Print:
- hep-lat/9401004
•
DOI:
- 10.1016/0370-2693(94)00053-0

[2]

Geometrical volume effects in the computation of the slope of the Isgur-Wise function

UKQCD

Collaboration

•

L. Lellouch
(
- Southampton U.
)

et al.

- Nucl.Phys.B 444 (1995) 401-424
•
e-Print:
- hep-lat/9410013
•
DOI:
- 10.1016/0550-3213(95)00180-Z

[3]

Aharonov-Bohm effect and nucleon nucleon phase shifts on the lattice

Paulo F. Bedaque
(
- LBL, Berkeley
)

- Phys.Lett.B 593 (2004) 82-88
•
e-Print:
- nucl-th/0402051
•
DOI:
- 10.1016/j.physletb.2004.04.045

[4]

On the discretization of physical momenta in lattice QCD

G.M. de Divitiis
(
- Rome U., Tor Vergata and
- INFN, Rome2
)
,
R. Petronzio
(
- Rome U., Tor Vergata and
- INFN, Rome2
)
,
N. Tantalo
(
- Rome U., Tor Vergata and
- INFN, Rome2
)

- Phys.Lett.B 595 (2004) 408-413
•
e-Print:
- hep-lat/0405002
•
DOI:
- 10.1016/j.physletb.2004.06.035

[5]

Lattice QCD calculation of anti-B ---> D lepton anti-neutrino decay form-factors at zero recoil

Shoji Hashimoto
(
- Fermilab and
- KEK, Tsukuba
)
,
Aida X. El-Khadra
(
- Illinois U., Urbana and
- Fermilab
)
,
Andreas S. Kronfeld
(
- Fermilab
)
,
Paul B. Mackenzie
(
- Fermilab
)
,
Sinead M. Ryan
(
- Fermilab
)

et al.

- Phys.Rev.D 61 (1999) 014502
•
e-Print:
- hep-ph/9906376
•
DOI:
- 10.1103/PhysRevD.61.014502

[6]

Quenched lattice calculation of the B ---> D l nu decay rate

G.M. de Divitiis
(
- Rome U., Tor Vergata and
- INFN, Rome2
)
,
E. Molinaro
(
- SISSA, Trieste
)
,
R. Petronzio
(
- Rome U., Tor Vergata and
- INFN, Rome2
)
,
N. Tantalo
(
- INFN, Rome2 and
- Enrico Fermi Ctr., Rome
)

- Phys.Lett.B 655 (2007) 45-49
•
e-Print:
- 0707.0582
•
DOI:
- 10.1016/j.physletb.2007.08.085

[7]

Quenched lattice calculation of semileptonic heavy-light meson form factors

G.M. de Divitiis
(
- Rome U., Tor Vergata and
- INFN, Rome2
)
,
R. Petronzio
(
- Rome U., Tor Vergata and
- INFN, Rome2
)
,
N. Tantalo
(
- INFN, Rome2 and
- Enrico Fermi Ctr., Rome
)

- JHEP 10 (2007) 062
•
e-Print:
- 0707.0587
•
DOI:
- 10.1088/1126-6708/2007/10/062

[8]

Quenched lattice calculation of the vector channel B ---> D* l nu decay rate

G.M. de Divitiis
(
- Rome U., Tor Vergata and
- INFN, Rome2
)
,
R. Petronzio
(
- Rome U., Tor Vergata and
- INFN, Rome2
)
,
N. Tantalo
(
- INFN, Rome2 and
- Enrico Fermi Ctr., Rome
)

- Nucl.Phys.B 807 (2009) 373-395
•
e-Print:
- 0807.2944
•
DOI:
- 10.1016/j.nuclphysb.2008.09.013

[9]

The $\bar{B} \to D^{*} \ell \bar{\nu}$ form factor at zero recoil from three-flavor lattice QCD: A Model independent determination of $|V_{cb}|$

C. Bernard
(
- Washington U., St. Louis
)
,
Carleton E. DeTar
(
- Utah U.
)
,
M. Di Pierro
(
- De Paul U.
)
,
A.X. El-Khadra
(
- Illinois U., Urbana
)
,
R.T. Evans
(
- Illinois U., Urbana
)

et al.

- Phys.Rev.D 79 (2009) 014506
•
e-Print:
- 0808.2519
•
DOI:
- 10.1103/PhysRevD.79.014506

[10]

Model-independent parametrization of the hadronic vacuum polarization and g-2 for the muon on the lattice

Christopher Aubin
(
- Fordham U.
)
,
Thomas Blum
(
- Connecticut U.
)
,
Maarten Golterman
(
- San Francisco State U.
)
,
Santiago Peris
(
- San Francisco State U.
)

- Phys.Rev.D 86 (2012) 054509
•
e-Print:
- 1205.3695
•
DOI:
- 10.1103/PhysRevD.86.054509

[11]

Improved Continuum Limit Lattice Action for QCD with Wilson Fermions

B. Sheikholeslami
(
- Hamburg U.
)
,
R. Wohlert
(
- Hamburg U.
)

- Nucl.Phys.B 259 (1985) 572,
- Nucl. Phys. B259 ( 1985) 572-596 and Hamburg Desy - DESY 85-024 (85,REC.MAR.) 26p
•
DOI:
- 10.1016/0550-3213(85)90002-1