Summary of Charm Semileptonic Decay Results

Summarized below are form factor parameters from various experiments on D meson decays
to pseudoscalar and vector mesons. Combined results (preliminary) are quoted.
Further details can be found in the 2014 HFAG report [HFAG’14] .

D meson decays to Pseudoscalar Mesons

Results for the form factor parameters mpole and αBK [BK] from various experiments for D → K l ν decays:

D→Klν expt.

Ref.

mpole (GeV/c2)

αBK

CLEO III

CLEO’05

1.89 ± 0.05 +0:04-0.03

0.36 ± 0.10 +0:03-0.07

FOCUS

FOCUS’05

1.93 ± 0.05 ± 0.03

0.28 ± 0.08 ± 0.07

Belle

BELLE’06

1.82 ± 0.04 ± 0.03

0.52 ± 0.08 ± 0.06

BaBar

BABAR’07

1.889 ± 0.012 ± 0.015

0.366 ± 0.023 ± 0.029

CLEO-c (tagged)

CLEO’09

1.93 ± 0.02 ± 0.01

0.30 ± 0.03 ± 0.01

CLEO-c (untagged, D0)

CLEO’07

1.97 ± 0.03 ± 0.01

0.21 ± 0.05 ± 0.03

CLEO-c (untagged, D+)

CLEO’07

1.96 ± 0.04 ± 0.02

0.22 ± 0.08 ± 0.03

BES III (preliminary)

BES’14

1.921 ± 0.010 ± 0.007

0.309 ± 0.020 ± 0.013

 

Results for the form factor parameters mpole and αBK [BK]  from various experiments for D → π l ν decays:

D→π expt.

Ref.

mpole (GeV/c2)

αBK

CLEO III

CLEO’05

1.86  +0:10-0.06  +0:07-0.03

0.37  +0:20-0.31  ± 0.15

FOCUS

FOCUS’05

1.91  +0:30-0.15 ± 0.07

-

Belle

BELLE’06

1.97 ± 0.08 ± 0.04

0.10 ± 0.21 ± 0.10

CLEO-c (tagged)

CLEO’09

1.91 ± 0.02 ± 0.01

0.21 ± 0.07 ± 0.02

CLEO-c (untagged, D0)

CLEO’07

1.87 ± 0.03 ± 0.01

0.37 ± 0.08 ± 0.03

CLEO-c (untagged, D+)

CLEO’07

1.97 ± 0.07 ± 0.02

0.14 ± 0.16 ± 0.04

BaBar  (preliminary)

BABAR’14

1.906 ± 0.029 ± 0.023

0.268 ± 0.074 ± 0.059

BES III (preliminary)

BES’14

1.911 ± 0.012 ± 0.004

0.279 ± 0.035 ± 0.011

 

Results for the form factor parameters r1 and r2 [ZEXP] and the correlation coefficient ρ12 from various experiments

for D→ K l ν decays. CLEO III and FOCUS results are refitted from the published data.

D→K expt.

Ref.

r1

r2

ρ12

CLEO III

CLEO’05

0.2  +3.6-3.0

-89  +104-120 

-0.99

FOCUS

FOCUS’05

-2.54 ± 0.75

7 ± 13

-0.97

BaBar

BABAR’07

-2.5 ± 0.2 ± 0.2

2.5 ± 6.0 ± 5.0

-0.64

CLEO-c (tagged, D0)

CLEO’09

-2.65 ± 0.34 ± 0.08

13 ± 9 ± 1

-0.82

CLEO-c (tagged, D+)

CLEO’09

-1.66 ± 0.44 ± 0.10

-14 ± 11 ± 1

-0.82

CLEO-c (untagged, D0)

CLEO’07

-2.4 ± 0.4 ± 0.1

21 ± 11 ± 2

-0.81

CLEO-c (untagged, D+)

CLEO’07

-2.8 ± 6 ± 2

32 ± 18 ± 4

-0.84

BES III (preliminary)

BES’14

-2.33 ± 0.16 ± 0.08

3.4 ± 3.9 ± 2.4

 

Combined (preliminary)*

HFAG’14

-2.39 ± 0.17

6.2 ± 3.8

-0.82

 

* Uses partial BESIII statistics [BES’12].

 

Results for the form factor parameters r1 and r2 [ZEXP] and the correlation coefficient ρ12 from various experiments

for D → π l ν decays. Belle results are refitted using the published data.

D→π expt.

Ref.

r1

r2

ρ12

CLEO-c (tagged, D0)

CLEO’09

-2.80 ± 0.49 ± 0.04

6 ± 3 ± 0

-0.94

CLEO-c (tagged, D+)

CLEO’09

-1.37 ± 0.88 ± 0.24

-4 ± 5 ± 1

-0.96

CLEO-c (untagged, D0)

CLEO’07

-2.1 ± 0.7 ± 0.3

-1.2 ± 4.8 ± 1.7

-0.96

CLEO-c (untagged, D+)

CLEO’07

-0.2 ± 1.5 ± 0.4

-9.8 ± 9.1 ± 2.1

-0.97

Belle

BELLE’06

-1.84 ± 1.02

1.69 ± 6.5

-0.91

BaBar  (preliminary)

BABAR’14

-1.31 ± 0.70 ± 0.43

-4.2 ± 4.0 ± 1.9

-0.97

BES III (preliminary)

BES’14

-1.85 ± 0.22 ± 0.07

-1.4 ± 1.5 ± 0.5

-0.93

Combined (preliminary)

HFAG’14

-1.94 ± 0.19

-0.62 ± 0.19

-0.94

 

Using an effective three-pole model [BLORS] on the previous data, the combined fit gives for the first two residues of the form 

factor γ0 and γ1, and the effective mass of the third pole mD*’’eff:   

Dπ expt.

Ref.

γ0 (GeV2)

γ1 (GeV2)

mD*’’eff (GeV)

Combined fit (preliminary)

HFAG’14

3.878 ± 0.090

-1.18 ± 0.30

4.17± 0.41

 

sl_3pole

 

Figure of the fit projection in .pdf format: [Dpi3pole] 

 

Results for the form factor normalization |Vcs|fK+(0) and |Vcd|fπ+(0), using the z-expansion formalism [ZEXP]:

Experiment

Ref.

|Vcs|fK+(0)

|Vcd|fπ+(0)

Belle (2006)

BELLE’06

0.692 ± 0.007 ± 0.022

0.140 ± 0.004 ± 0.007

BaBar  (2007, 2014prel.)

BABAR’07,14

0.720 ± 0.007 ± 0.007

0.137 ± 0.004 ± 0.002

CLEO-c (tagged) (2009)

CLEO’09

0.719 ± 0.006 ± 0.005

0.150 ± 0.004 ± 0.001

CLEO-c (untagged, D0) (2008)

CLEO’07

0.747 ± 0.009 ± 0.009

0.139 ± 0.004 ± 0.003

BES III (2012prel., 2014prel.)

BES’12,BES’14

0.720 ± 0.004 ± 0.004

0.142 ± 0.002 ± 0.001

Combined (preliminary)

HFAG’14

0.728 ± 0.005

0.1425 ± 0.0019

 

Using Vcs = 0.97340(16) and Vcd = 0.22538(65), results of the form factor are:

fK+(0) = 0.7579  ± 0. 0051 and fπ+(0) = 0.6318 ± 0.0086, compatible with Lattice results [FLAG] of fK+(0)  = 0.747(19) and fπ+(0)= 0.666(29).

sl_K_f0r1sl_K_f0r2sl_K_r1r2

 

Figures in .pdf format of the fit projections for D→ K l ν decays: [DK_f+r1], [DK_f+r2], [DK_r1r2]

sl_pi_f0r1sl_pi_f0r2 sl_pi_r1r2

Figures in the .pdf format of the fit projections for D→ π l ν decays: [Dπ_f+r1], [Dπ_f+r2], [Dπ_r1r2]

D(s) meson decays to Vector Mesons

Results for the form factor parameters rv and r2 from various experiments for D → K*lν. Last lines correspond to

Dsɸlν and D → ρlν decays from BaBar and CLEO-c.  BaBar results quoted here use fixed pole masses. Note that

in some results the hh s-wave component (h=K or π ) is not isolated in the rv and r2 measurements.  

 

Experiment

Ref.

rv

r2

E691 (D+)

E691’90

2.0 ± 0.6 ± 0.3

0.0 ± 0.5 ± 0.2

E653 (D+)

E653’92

2.00 ± 0.33 ± 0.16

0.82 ± 0.22 ± 0.11

E687 (D+)

E687’93

1.74 ± 0.27 ± 0.28

0.78 ± 0.18 ± 0.11

E791 (D+, e)

E791’98

1.90 ± 0.11 ± 0.09

0.71 ± 0.08 ± 0.09

E791 (D+,mu)

E791’98

1.84 ± 0.11 ± 0.09

0.75 ± 0.08 ± 0.09

Beatrice (D+)

Beatrice’99

1.45 ± 0.23 ± 0.07

1.00 ± 0.15 ± 0.03

FOCUS (D+)

FOCUS’02

1.504 ± 0.057 ± 0.039

0.875 ± 0.049 ± 0.064

BaBar (D+)

BABAR’11

1.493 ± 0.014 ± 0.021

0.775 ± 0.011 ± 0.011

FOCUS (D0)

FOCUS’05

1.706 ± 0.677 ± 0.342

0.912 ± 0.370 ± 0.104

BaBar  (Ds → ɸ e ν)

BABAR’08

1.849 ± 0.060 ± 0.095

0.763 ± 0.071 ± 0.065

CLEO-c  (D → ρ e ν)**

CLEO’06

1.40 ± 0.25 ± 0.03

0.57 ± 0.18 ± 0.06

**Not published.

 

sl_r2_rv

 

Figure in .pdf format [DtoV].

Page maintained by A. Oyanguren. Last update: October 2014.