Observation of <math display="inline"><mrow><msup><mrow><mi>D</mi></mrow><mrow><mo>+</mo></mrow></msup><mo stretchy="false">→</mo><msub><mrow><mi>f</mi></mrow><mrow><mn>0</mn></mrow></msub><mo stretchy="false">(</mo><mn>500</mn><mo stretchy="false">)</mo><msup><mrow><mi>μ</mi></mrow><mrow><mo>+</mo></mrow></msup><msub><mrow><mi>ν</mi></mrow><mrow><mi>μ</mi></mrow></msub></mrow></math> and study of <math display="inline"><msup><mi>D</mi><mo>+</mo></msup><mo stretchy="false">→</mo><msup><mi>π</mi><mo>+</mo></msup><msup><mi>π</mi><mo>-</mo></msup><msup><mo>ℓ</mo><mo>+</mo></msup><msub><mi>ν</mi><mo>ℓ</mo></msub></math> decay dynamics

Ablikim, M.; Achasov, M.N.; Adlarson, P.; Afedulidis, O.; Ai, X.C.; Aliberti, R.; Amoroso, A.; An, Q.; Bai, Y.; Bakina, O.

doi:10.1103/PhysRevD.110.092008

Observation of $D^{+} \to f_{0} (500) μ^{+} ν_{μ}$ and study of $D^{+} \to π^{+} π^{-} ℓ^{+} ν_{ℓ}$ decay dynamics

BESIII

Collaboration

Jan 23, 2024

13 pages

Published in:

Phys.Rev.D 110 (2024) 9, 092008

Published: Nov 1, 2024

e-Print:

2401.13225 [hep-ex]

DOI:

10.1103/PhysRevD.110.092008 (publication)

Report number:

BAM-00660

Experiments:

BEPC-BES-III

View in:

ADS Abstract Service

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Abstract: (APS)

Using

2.93 {fb}^{- 1}

of

e^{+} e^{-}

collision data collected with the BESIII detector at the center-of-mass energy of 3.773 GeV, we investigate the semileptonic decays

D^{+} \to π^{+} π^{-} ℓ^{+} ν_{ℓ}

(

ℓ = e

and

μ

). The

D^{+} \to f_{0} (500) μ^{+} ν_{μ}

decay is observed for the first time. By analyzing simultaneously the differential decay rates of

D^{+} \to f_{0} (500) μ^{+} ν_{μ}

and

D^{+} \to f_{0} (500) e^{+} ν_{e}

in different

ℓ^{+} ν_{ℓ}

four-momentum transfer intervals, the product of the relevant hadronic form factor

f_{+}^{f_{0}} (0)

and the magnitude of the

c \to d

Cabibbo-Kobayashi-Maskawa matrix element

| V_{c d} |

is determined to be

f_{+}^{f_{0}} (0) | V_{c d} | = 0.143 \pm 0.01 4_{stat} \pm 0.01 1_{syst}

for the first time. With the input of

| V_{c d} |

from the global fit in the standard model, we determine

f_{+}^{f_{0}} (0) = 0.63 \pm 0.0 6_{stat} \pm 0.0 5_{syst}

. The absolute branching fractions of

D^{+} \to f_{0} (500)_{(π^{+} π^{-})} μ^{+} ν_{μ}

and

D^{+} \to ρ_{(π^{+} π^{-})}^{0} μ^{+} ν_{μ}

are determined as

(0.72 \pm 0.1 3_{stat} \pm 0.0 8_{syst}) \times 10^{- 3}

and

(1.64 \pm 0.1 3_{stat} \pm 0.1 0_{syst}) \times 10^{- 3}

. Combining these results with those of previous BESIII measurements on their semielectronic counterparts from the same data sample, we test lepton flavor universality by measuring the branching fraction ratios

B_{D^{+} \to ρ^{0} μ^{+} ν_{μ}} / B_{D^{+} \to ρ^{0} e^{+} ν_{e}} = 0.88 \pm 0.10

and

B_{D^{+} \to f_{0} (500) μ^{+} ν_{μ}} / B_{D^{+} \to f_{0} (500) e^{+} ν_{e}} = 1.14 \pm 0.26

, which are compatible with the standard model expectation.

Note:

Final version accepted for publication

electron positron: annihilation
electron positron: colliding beams
branching ratio: ratio: measured
D+: branching ratio: measured
lepton: flavor: universality
form factor: hadronic
f0(980)
rho(770)
intermediate state
BES

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Observation of D+→f0(500)μ+νμ and study of D+→π+π-ℓ+νℓ decay dynamics

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Observation of $D^{+} \to f_{0} (500) μ^{+} ν_{μ}$ and study of $D^{+} \to π^{+} π^{-} ℓ^{+} ν_{ℓ}$ decay dynamics