Determinations of the form factors of semileptonic $$D\rightarrow K$$ D→K decays and leptoquark constraints
Abstract By analyzing all existing measurements for $$ D\rightarrow K \ell ^+ \nu _{\ell } $$ D→Kℓ+νℓ ($$\ell =e,\ \mu $$ ℓ=e,μ ) decays, we find that the determinations of both the vector form factor $$f_+^K(q^2)$$ f+K(q2) and scalar form factor $$f_0^K(q^2)$$ f0K(q2) for semileptonic $$D\rightarro...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-08-01
|
| Series: | European Physical Journal C: Particles and Fields |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-018-6184-3 |
| _version_ | 1819210802200051712 |
|---|---|
| author | Jian Zhang Chong-Xing Yue Chun-Hua Li |
| author_facet | Jian Zhang Chong-Xing Yue Chun-Hua Li |
| author_sort | Jian Zhang |
| collection | DOAJ |
| description | Abstract By analyzing all existing measurements for $$ D\rightarrow K \ell ^+ \nu _{\ell } $$ D→Kℓ+νℓ ($$\ell =e,\ \mu $$ ℓ=e,μ ) decays, we find that the determinations of both the vector form factor $$f_+^K(q^2)$$ f+K(q2) and scalar form factor $$f_0^K(q^2)$$ f0K(q2) for semileptonic $$D\rightarrow K$$ D→K decays from these measurements are feasible. By taking the parameterization of the one order series expansion of the $$f_+^K(q^2)$$ f+K(q2) and $$f_0^K(q^2)$$ f0K(q2) , $$f_+^K(0)|V_{cs}|$$ f+K(0)|Vcs| is determined to be $$0.7182\pm 0.0029$$ 0.7182±0.0029 , and the shape parameters of $$f_+^K(q^2)$$ f+K(q2) and $$f_0^K(q^2)$$ f0K(q2) are $$r_{+1}=-2.16\pm 0.007$$ r+1=-2.16±0.007 and $$r_{01}=0.89\pm 3.27$$ r01=0.89±3.27 , respectively. Combining with the average $$f_+^K(0)$$ f+K(0) of $$N_f=2+1$$ Nf=2+1 and $$N_f=2+1+1$$ Nf=2+1+1 lattice calculaltion, the $$|V_{cs}|$$ |Vcs| is extracted to be $$0.964\pm 0.004\pm 0.019$$ 0.964±0.004±0.019 where the first error is experimental and the second theoretical. Alternatively, the $$f_+^K(0)$$ f+K(0) is extracted to be $$0.7377\pm 0.003\pm 0.000$$ 0.7377±0.003±0.000 by taking the $$|V_{cs}|$$ |Vcs| as the value from the global fit with the unitarity constraint of the CKM matrix. Moreover, using the obtained form factors by $$N_f=2+1+1$$ Nf=2+1+1 lattice QCD, we re-analyze these measurements in the context of new physics. Constraints on scalar leptoquarks are obtained for different final states of semileptonic $$D \rightarrow K$$ D→K decays. |
| first_indexed | 2024-12-23T06:16:58Z |
| format | Article |
| id | doaj.art-0d73f52a12b04f3c9d9332c445c531f1 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-23T06:16:58Z |
| publishDate | 2018-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-0d73f52a12b04f3c9d9332c445c531f12022-12-21T17:57:16ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-08-0178911310.1140/epjc/s10052-018-6184-3Determinations of the form factors of semileptonic $$D\rightarrow K$$ D→K decays and leptoquark constraintsJian Zhang0Chong-Xing Yue1Chun-Hua Li2School of Physics and Electronic Technology, Liaoning Normal UniversitySchool of Physics and Electronic Technology, Liaoning Normal UniversitySchool of Physics and Electronic Technology, Liaoning Normal UniversityAbstract By analyzing all existing measurements for $$ D\rightarrow K \ell ^+ \nu _{\ell } $$ D→Kℓ+νℓ ($$\ell =e,\ \mu $$ ℓ=e,μ ) decays, we find that the determinations of both the vector form factor $$f_+^K(q^2)$$ f+K(q2) and scalar form factor $$f_0^K(q^2)$$ f0K(q2) for semileptonic $$D\rightarrow K$$ D→K decays from these measurements are feasible. By taking the parameterization of the one order series expansion of the $$f_+^K(q^2)$$ f+K(q2) and $$f_0^K(q^2)$$ f0K(q2) , $$f_+^K(0)|V_{cs}|$$ f+K(0)|Vcs| is determined to be $$0.7182\pm 0.0029$$ 0.7182±0.0029 , and the shape parameters of $$f_+^K(q^2)$$ f+K(q2) and $$f_0^K(q^2)$$ f0K(q2) are $$r_{+1}=-2.16\pm 0.007$$ r+1=-2.16±0.007 and $$r_{01}=0.89\pm 3.27$$ r01=0.89±3.27 , respectively. Combining with the average $$f_+^K(0)$$ f+K(0) of $$N_f=2+1$$ Nf=2+1 and $$N_f=2+1+1$$ Nf=2+1+1 lattice calculaltion, the $$|V_{cs}|$$ |Vcs| is extracted to be $$0.964\pm 0.004\pm 0.019$$ 0.964±0.004±0.019 where the first error is experimental and the second theoretical. Alternatively, the $$f_+^K(0)$$ f+K(0) is extracted to be $$0.7377\pm 0.003\pm 0.000$$ 0.7377±0.003±0.000 by taking the $$|V_{cs}|$$ |Vcs| as the value from the global fit with the unitarity constraint of the CKM matrix. Moreover, using the obtained form factors by $$N_f=2+1+1$$ Nf=2+1+1 lattice QCD, we re-analyze these measurements in the context of new physics. Constraints on scalar leptoquarks are obtained for different final states of semileptonic $$D \rightarrow K$$ D→K decays.http://link.springer.com/article/10.1140/epjc/s10052-018-6184-3. |
| spellingShingle | Jian Zhang Chong-Xing Yue Chun-Hua Li Determinations of the form factors of semileptonic $$D\rightarrow K$$ D→K decays and leptoquark constraints European Physical Journal C: Particles and Fields . |
| title | Determinations of the form factors of semileptonic $$D\rightarrow K$$ D→K decays and leptoquark constraints |
| title_full | Determinations of the form factors of semileptonic $$D\rightarrow K$$ D→K decays and leptoquark constraints |
| title_fullStr | Determinations of the form factors of semileptonic $$D\rightarrow K$$ D→K decays and leptoquark constraints |
| title_full_unstemmed | Determinations of the form factors of semileptonic $$D\rightarrow K$$ D→K decays and leptoquark constraints |
| title_short | Determinations of the form factors of semileptonic $$D\rightarrow K$$ D→K decays and leptoquark constraints |
| title_sort | determinations of the form factors of semileptonic d rightarrow k d k decays and leptoquark constraints |
| topic | . |
| url | http://link.springer.com/article/10.1140/epjc/s10052-018-6184-3 |
| work_keys_str_mv | AT jianzhang determinationsoftheformfactorsofsemileptonicdrightarrowkdkdecaysandleptoquarkconstraints AT chongxingyue determinationsoftheformfactorsofsemileptonicdrightarrowkdkdecaysandleptoquarkconstraints AT chunhuali determinationsoftheformfactorsofsemileptonicdrightarrowkdkdecaysandleptoquarkconstraints |