# ${\mathrm{\Lambda}}_{c}\to N$ form factors from lattice QCD and phenomenology of ${\mathrm{\Lambda}}_{c}\to n{\ell}^{+}{\nu}_{\ell}$ and ${\mathrm{\Lambda}}_{c}\to p{\mu}^{+}{\mu}^{-}$ decays

## Abstract

We report on a lattice QCD determination of the Λ_{c}→N vector, axial vector, and tensor form factors. Here, the calculation was performed with 2+1 flavors of domain wall fermions at lattice spacings of a≈0.11 and 0.085 fm and pion masses in the range 230 MeV≲ m_{π} ≲ 350 MeV. The form factors are extrapolated to the continuum limit and the physical pion mass using modified z expansions. The rates of the charged-current decays Λ_{c}→ne+ν_{e} and Λ_{c}→nμ+ν_{μ} are predicted to be (0.405 ± 0.016_{stat} ± 0.020_{syst})|V_{cd}|^{2}ps^{₋1} and (0.396 ± 0.016_{stat} ± 0.020_{syst})|V_{cd}|^{2}ps^{₋1}, respectively. The phenomenology of the rare charm decay Λ_{c}→pμ+μ₋ is also studied. The differential branching fraction, the fraction of longitudinally polarized dimuons, and the forward-backward asymmetry are calculated in the Standard Model and in an illustrative new-physics scenario.

- Authors:

- Publication Date:

- Research Org.:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)

- Sponsoring Org.:
- USDOE Office of Science (SC); National Science Foundation (NSF)

- OSTI Identifier:
- 1422454

- Alternate Identifier(s):
- OSTI ID: 1544321

- Grant/Contract Number:
- AC02-05CH11231

- Resource Type:
- Published Article

- Journal Name:
- Physical Review D

- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 97 Journal Issue: 3; Journal ID: ISSN 2470-0010

- Publisher:
- American Physical Society

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

### Citation Formats

```
Meinel, Stefan. Λ c → N form factors from lattice QCD and phenomenology of Λ c → n ℓ + ν ℓ and Λ c → p μ + μ − decays. United States: N. p., 2018.
Web. doi:10.1103/PhysRevD.97.034511.
```

```
Meinel, Stefan. Λ c → N form factors from lattice QCD and phenomenology of Λ c → n ℓ + ν ℓ and Λ c → p μ + μ − decays. United States. doi:10.1103/PhysRevD.97.034511.
```

```
Meinel, Stefan. Fri .
"Λ c → N form factors from lattice QCD and phenomenology of Λ c → n ℓ + ν ℓ and Λ c → p μ + μ − decays". United States. doi:10.1103/PhysRevD.97.034511.
```

```
@article{osti_1422454,
```

title = {Λ c → N form factors from lattice QCD and phenomenology of Λ c → n ℓ + ν ℓ and Λ c → p μ + μ − decays},

author = {Meinel, Stefan},

abstractNote = {We report on a lattice QCD determination of the Λc→N vector, axial vector, and tensor form factors. Here, the calculation was performed with 2+1 flavors of domain wall fermions at lattice spacings of a≈0.11 and 0.085 fm and pion masses in the range 230 MeV≲ mπ ≲ 350 MeV. The form factors are extrapolated to the continuum limit and the physical pion mass using modified z expansions. The rates of the charged-current decays Λc→ne+νe and Λc→nμ+νμ are predicted to be (0.405 ± 0.016stat ± 0.020syst)|Vcd|2ps₋1 and (0.396 ± 0.016stat ± 0.020syst)|Vcd|2ps₋1, respectively. The phenomenology of the rare charm decay Λc→pμ+μ₋ is also studied. The differential branching fraction, the fraction of longitudinally polarized dimuons, and the forward-backward asymmetry are calculated in the Standard Model and in an illustrative new-physics scenario.},

doi = {10.1103/PhysRevD.97.034511},

journal = {Physical Review D},

number = 3,

volume = 97,

place = {United States},

year = {2018},

month = {2}

}

DOI: 10.1103/PhysRevD.97.034511

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#### Figures / Tables:

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*Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.*