Form factors for the processes Bc+ →d0ℓ+νℓ and Bc+ → Ds+ ℓ+ℓ (ν ν ¯) from lattice QCD FORM FACTORS for the PROCESSES Bc+ →d0ℓ+νℓ ⋯ COOPER, DAVIES, and WINGATE
dc.contributor.author  Cooper, LJ  
dc.contributor.author  Davies, CTH  
dc.contributor.author  Wingate, M  
dc.date.accessioned  20220129T00:31:09Z  
dc.date.available  20220129T00:31:09Z  
dc.date.issued  2022  
dc.identifier.issn  24700010  
dc.identifier.uri  https://www.repository.cam.ac.uk/handle/1810/333414  
dc.description.abstract  We present results of the first lattice QCD calculations of the weak matrix elements for the decays $B_c^+ \to D^0 \ell^+ \nu_{\ell}$, $B_c^+ \to D_s^+ \ell^+ \ell^$ and $B_c^+ \to D_s^+ \nu \overline{\nu}$. Form factors across the entire physical $q^2$ range are then extracted and extrapolated to the continuum limit with physical quark masses. Results are derived from correlation functions computed on MILC Collaboration gauge configurations with three different lattice spacings and including 2+1+1 flavours of sea quarks in the Highly Improved Staggered Quark (HISQ) formalism. HISQ is also used for all of the valence quarks. The uncertainty on the decay widths from our form factors is similar in size to that from the present value for $V_{ub}$. We obtain the ratio $\Gamma (B_{c}^{+} \rightarrow D^0 \mu^{+} \nu_{\mu}) /\left\eta_{\mathrm{EW}} V_{u b}\right^{2}=4.43(63) \times 10^{12} \mathrm{~s}^{1}$. Combining our form factors with those found previously by HPQCD for $B_{c}^{+} \rightarrow J / \psi \mu^{+} \nu_{\mu}$, we find $\leftV_{cb}/V_{ub} \right^2 \Gamma( B_c^+ \to D^0 \mu^+ \nu_\mu )/\Gamma(B_{c}^{+} \rightarrow J / \psi \mu^{+} \nu_{\mu}) = 0.257(36)_{B_c \to D}(18)_{B_c \to J/\psi}$. We calculate the differential decay widths of $B_c^+ \to D_s^+ \ell^+ \ell^$ across the full $q^2$ range, and give integrated results in $q^2$ bins that avoid possible effects from charmonium and $u \overline{u}$ resonances. For example, we find that the ratio of differential branching fractions integrated over the range $q^2 = 1 \; \mathrm{GeV}^2  6 \; \mathrm{GeV}^2$ for $B_c^+ \to D_s^+ \mu^+ \mu^$ and $B_{c}^{+} \rightarrow J / \psi \mu^{+} \nu_{\mu}$ is $5.23{\tiny }(73)_{B_c \to D_s}(54)_{B_c \to J/\psi} \times 10^{6}$. We also give results for the branching fraction of $B_c^+ \to D_s^+ \nu \overline{\nu}$. Prospects for reducing our errors in the future are discussed.  
dc.publisher  American Physical Society (APS)  
dc.rights  Attribution 4.0 International  
dc.rights.uri  https://creativecommons.org/licenses/by/4.0/  
dc.subject  heplat  
dc.subject  heplat  
dc.subject  hepph  
dc.title  Form factors for the processes Bc+ →d0ℓ+νℓ and Bc+ → Ds+ ℓ+ℓ (ν ν ¯) from lattice QCD FORM FACTORS for the PROCESSES Bc+ →d0ℓ+νℓ ⋯ COOPER, DAVIES, and WINGATE  
dc.type  Article  
dc.publisher.department  Department of Applied Mathematics And Theoretical Physics  
dc.date.updated  20220128T16:16:33Z  
prism.issueIdentifier  1  
prism.number  ARTN 014503  
prism.publicationDate  2022  
prism.publicationName  Physical Review D  
prism.startingPage  014503  
prism.volume  105  
dc.identifier.doi  10.17863/CAM.80838  
dcterms.dateAccepted  20211206  
rioxxterms.versionofrecord  10.1103/PhysRevD.105.014503  
rioxxterms.version  VoR  
dc.contributor.orcid  Wingate, Matthew [000000016568988X]  
dc.identifier.eissn  24700029  
dc.publisher.url  http://dx.doi.org/10.1103/PhysRevD.105.014503  
rioxxterms.type  Journal Article/Review  
pubs.funderprojectid  Science and Technology Facilities Council (ST/P000681/1)  
pubs.funderprojectid  Science and Technology Facilities Council (ST/R002452/1)  
pubs.funderprojectid  Science and Technology Facilities Council (ST/R00689X/1)  
pubs.funderprojectid  Science and Technology Facilities Council (ST/M007065/1)  
pubs.funderprojectid  STFC (ST/M007073/1)  
pubs.funderprojectid  STFC (ST/T000694/1)  
cam.issuedOnline  20220105  
cam.depositDate  20220128  
pubs.licenceidentifier  apollodepositlicence21  
pubs.licencedisplayname  Apollo Repository Deposit Licence Agreement 
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