Summary of Charm Semileptonic Decay Results

Summarized below are parameters from fits to various experimental data on D meson decays.
The first section is for decays to pseudoscalars; the second is for decays to vector mesons.

Further details can be found in arXiv:0808.1297, Section 8.3.

D meson decays to Pseudoscalar Mesons

Results for m_pole and α_BK from various experiments for D⁰ → K^- e⁺ ν and D⁺ → K_S e⁺ ν decays. The last entry is a lattice QCD prediction.

D → K `l` ν Expt.	Ref.	m_pole (GeV/c²)	α _BK

CLEO III	Huang:2004fra	1.89 ± 0.05^+0.04_-0.03	0.36 ± 0.10^+0.03_-0.07
FOCUS	Link:2004dh	1.93 ± 0.05 ± 0.03	0.28 ± 0.08 ± 0.07
BELLE	Widhalm:2006wz	1.82 ± 0.04 ± 0.03	0.52 ± 0.08 ± 0.06
BaBar	Aubert:2006mc	1.884 ± 0.012 ± 0.016	0.377 ± 0.023 ± 0.031
CLEO-c (D⁰ → K⁺)	GaoICHEP06	1.943^+0.037_-0.033 ± 0.011	0.258^+0.063_-0.065 ± 0.020
CLEO-c (D⁰ → K⁺)	Dobbs:2007sm	1.97 ± 0.03 ± 0.01	0.21 ± 0.05 ± 0.03
CLEO-c (D⁺ → K_S)	GaoICHEP06	2.02^+0.07_-0.06 ± 0.02	0.127^+0.099_-0.104 ± 0.031
CLEO-c (D⁺ → K_S)	Dobbs:2007sm	1.96 ± 0.04 ± 0.02	0.22 ± 0.08 ± 0.03
Fermilab lattice/MILC/HPQCD	Aubin:2004ej	--	0.50 ± 0.04

Pole mass and alpha for D to K semileptonic decays: In the table above and the figures below, the effective pole mass for the simple pole parameterization fits is shown on the left while the α_BK parameter for the modified pole parameterization fits is shown on the right. The dashed red lines indicate the M_{D*_s} mass (left) and α_BK≈1.75 (right) needed for the simplifications leading to the parameterizations to be physically valid.

Results for m_pole and α_BK from various experiments for D⁰ → π^- e⁺ ν and D⁺ → π⁰ e⁺ ν decays. The last entry is a lattice QCD prediction.

D → π `l` ν Expt.	Ref.	m_pole (GeV/c²)	α _BK

CLEO III	Huang:2004fra	1.86^+0.10+0.07_-0.06-0.03	0.37^+0.20_-0.31 ± 0.15
FOCUS	Link:2004dh	1.91^+0.30_-0.15 ± 0.07	--
BELLE	Widhalm:2006wz	1.97 ± 0.08 ± 0.04	0.10 ± 0.21 ± 0.10
CLEO-c (D⁰ → π ⁺)	GaoICHEP06	1.941^+0.042_-0.034 ± 0.009	0.20^+0.10_-0.11 ± 0.03
CLEO-c (D⁰ → π ⁺)	Dobbs:2007sm	1.87 ± 0.03 ± 0.01	0.37 ± 0.08 ± 0.03
CLEO-c (D⁺ → π ⁰)	GaoICHEP06	1.99^+0.11_-0.08 ± 0.06	0.05^+0.19_-0.22 ± 0.13
CLEO-c (D⁺ → π ⁰)	Dobbs:2007sm	1.97 ± 0.07 ± 0.02	0.14 ± 0.16 ± 0.04
Fermilab lattice/MILC/HPQCD	Aubin:2004ej	--	0.44 ± 0.04

Pole mass and alpha for D to π semileptonic decays: In the table above and the figures below, the effective pole mass for the simple pole parameterization fits is shown on the left while the α_BK parameter for the modified pole parameterization fits is shown on the right. The dashed red lines indicate the M_{D*_s} mass (left) and α_BK≈1.75 (right) needed for the simplifications leading to the parameterizations to be physically valid.

Results for r₁ and r₂ from various experiments for D → π / K l ν. The correlation coefficient in each measurements is for to the total uncertainties (statistical and systematic) on the parameters.

Expt.	mode	Ref.	r₁	r₂	ρ

CLEO III	D⁰ → K⁺	Huang:2004fra	0.2^+3.6_-3.0	-89+104_-120	-0.99
BaBar		Aubert:2006mc	-2.5 ± 0.2 ± 0.2	0.6 ± 6. ± 5.	-0.64
CLEO-c		Dobbs:2007sm	-2.4 ± 0.4 ± 0.1	21 ± 11 ± 2	-0.81
Average			-2.3 ± 0.23	5.9 ± 6.3	-0.74
CLEO-c	D⁺ → K_S	Dobbs:2007sm	-2.8 ± 6 ± 2	32 ± 18 ± 4	-0.84
CLEO-c	D⁰ → π ⁺	Dobbs:2007sm	-2.1 ± 7 ± 3	-1.2 ± 4.8 ± 1.7	-0.96
CLEO-c	D⁺ → π ⁰	Dobbs:2007sm	-0.2 ± 1.5 ± 4	-9.8 ± 9.1 ± 2.1	-0.97

D meson decays to Vector Mesons

The table below lists measurements of r₂ and r_V from several experiments which studied D⁺ → K^*0l⁺ ν signals. The averaged results are also listed, as are recent measurements in other decay modes. These results are also displayed in the figures below.

D⁺ → K^*0l⁺ ν Expt.	Ref.	r_V	r₂

E691	E691:90	2.0 ± 0.6 ± 0.3	0.0 ± 0.5 ± 0.2
E653	E653:92	2.00 ± 0.33 ± 0.16	0.82 ± 0.22 ± 0.11
E687	E687:93	1.74 ± 0.27 ± 0.28	0.78 ± 0.18 ± 0.11
E791 (e)	E791:98a	1.90 ± 0.11 ± 0.09	0.71 ± 0.08 ± 0.09
E791 ( μ )	E791:98b	1.84 ± 0.11 ± 0.09	0.75 ± 0.08 ± 0.09
Beatrice	BEATRICE:99	1.45 ± 0.23 ± 0.07	1.00 ± 0.15 ± 0.03
FOCUS	FOCUS:02b	1.504 ± 0.057 ± 0.039	0.875 ± 0.049 ± 0.064
Average		1.62 ± 0.055	0.83 ± 0.054
FOCUS	FOCUS:05	1.706 ± 0.677 ± 0.342	0.912 ± 0.370 ± 0.104
D⁰ → K⁰ π ^- μ ⁺ ν
BaBar	BaBar:06	1.636 ± 0.067 ± 0.038	0.705 ± 0.056 ± 0.029
D_s⁺ → φ e⁺ ν
CLEO	Mahlke07	1.40 ± 0.25 ± 0.03	0.57 ± 0.18 ± 0.06
D⁰, D⁺ → ρ e ν

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