Weak neutral current axial form factor using ν ¯ ν $$ \left(\overline{\nu}\right)\nu $$ -nucleon scattering and lattice QCD inputs
Abstract We present a determination of the neutral current weak axial charge G A Z 0 = − 0.654 3 stat 5 sys $$ {G}_A^Z(0)=-0.654{(3)}_{\mathrm{stat}}{(5)}_{\mathrm{sys}} $$ using the strange quark axial charge G A s 0 $$ {G}_A^s(0) $$ calculated with lattice QCD. We then perform a phenomenological a...
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2020-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2020)136 |
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| author | Raza Sabbir Sufian Keh-Fei Liu David G. Richards |
| author_facet | Raza Sabbir Sufian Keh-Fei Liu David G. Richards |
| author_sort | Raza Sabbir Sufian |
| collection | DOAJ |
| description | Abstract We present a determination of the neutral current weak axial charge G A Z 0 = − 0.654 3 stat 5 sys $$ {G}_A^Z(0)=-0.654{(3)}_{\mathrm{stat}}{(5)}_{\mathrm{sys}} $$ using the strange quark axial charge G A s 0 $$ {G}_A^s(0) $$ calculated with lattice QCD. We then perform a phenomenological analysis, where we combine the strange quark electromagnetic form factor from lattice QCD with (anti)neutrino-nucleon scattering differential cross section from MiniBooNE experiments in a momentum transfer region 0.24 ≲ Q2 ≲ 0.71 GeV2 to determine the neutral current weak axial form factor G A Z Q 2 $$ {G}_A^Z\left({Q}^2\right) $$ in the range of 0 ≲ Q2 ≤ 1 GeV2. This yields a phenomenological value of G A Z 0 $$ {G}_A^Z(0) $$ = −0.687(89)stat(40)sys. The value of G A Z 0 $$ {G}_A^Z(0) $$ constrained by the lattice QCD calculation of G A s 0 $$ {G}_A^s(0) $$ , when compared to its phenomenological determination, provides a significant improvement in precision and accuracy and can be used to provide a constraint on the fit to G A Z Q 2 $$ {G}_A^Z\left({Q}^2\right) $$ for Q2> 0. This constrained fit leads to an unambiguous determination of (anti)neutrino-nucleon neutral current elastic scattering differential cross section near Q2 = 0 and can play an important role in numerically isolating nuclear effects in this region. We show a consistent description of G A Z Q 2 $$ {G}_A^Z\left({Q}^2\right) $$ obtained from the (anti)neutrino-nucleon scattering cross section data requires a nonzero contribution of the strange quark electromagnetic form factor. We demonstrate the robustness of our analysis by providing a post-diction of the BNL E734 experimental data. |
| format | Article |
| id | doaj-art-f00477834a1341b9b8ece4e7ab175f20 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-f00477834a1341b9b8ece4e7ab175f202025-01-26T12:11:32ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020111910.1007/JHEP01(2020)136Weak neutral current axial form factor using ν ¯ ν $$ \left(\overline{\nu}\right)\nu $$ -nucleon scattering and lattice QCD inputsRaza Sabbir Sufian0Keh-Fei Liu1David G. Richards2Theory Center, Jefferson LabDepartment of Physics and Astronomy, University of KentuckyTheory Center, Jefferson LabAbstract We present a determination of the neutral current weak axial charge G A Z 0 = − 0.654 3 stat 5 sys $$ {G}_A^Z(0)=-0.654{(3)}_{\mathrm{stat}}{(5)}_{\mathrm{sys}} $$ using the strange quark axial charge G A s 0 $$ {G}_A^s(0) $$ calculated with lattice QCD. We then perform a phenomenological analysis, where we combine the strange quark electromagnetic form factor from lattice QCD with (anti)neutrino-nucleon scattering differential cross section from MiniBooNE experiments in a momentum transfer region 0.24 ≲ Q2 ≲ 0.71 GeV2 to determine the neutral current weak axial form factor G A Z Q 2 $$ {G}_A^Z\left({Q}^2\right) $$ in the range of 0 ≲ Q2 ≤ 1 GeV2. This yields a phenomenological value of G A Z 0 $$ {G}_A^Z(0) $$ = −0.687(89)stat(40)sys. The value of G A Z 0 $$ {G}_A^Z(0) $$ constrained by the lattice QCD calculation of G A s 0 $$ {G}_A^s(0) $$ , when compared to its phenomenological determination, provides a significant improvement in precision and accuracy and can be used to provide a constraint on the fit to G A Z Q 2 $$ {G}_A^Z\left({Q}^2\right) $$ for Q2> 0. This constrained fit leads to an unambiguous determination of (anti)neutrino-nucleon neutral current elastic scattering differential cross section near Q2 = 0 and can play an important role in numerically isolating nuclear effects in this region. We show a consistent description of G A Z Q 2 $$ {G}_A^Z\left({Q}^2\right) $$ obtained from the (anti)neutrino-nucleon scattering cross section data requires a nonzero contribution of the strange quark electromagnetic form factor. We demonstrate the robustness of our analysis by providing a post-diction of the BNL E734 experimental data.https://doi.org/10.1007/JHEP01(2020)136Lattice QCDNeutrino Physics |
| spellingShingle | Raza Sabbir Sufian Keh-Fei Liu David G. Richards Weak neutral current axial form factor using ν ¯ ν $$ \left(\overline{\nu}\right)\nu $$ -nucleon scattering and lattice QCD inputs Journal of High Energy Physics Lattice QCD Neutrino Physics |
| title | Weak neutral current axial form factor using ν ¯ ν $$ \left(\overline{\nu}\right)\nu $$ -nucleon scattering and lattice QCD inputs |
| title_full | Weak neutral current axial form factor using ν ¯ ν $$ \left(\overline{\nu}\right)\nu $$ -nucleon scattering and lattice QCD inputs |
| title_fullStr | Weak neutral current axial form factor using ν ¯ ν $$ \left(\overline{\nu}\right)\nu $$ -nucleon scattering and lattice QCD inputs |
| title_full_unstemmed | Weak neutral current axial form factor using ν ¯ ν $$ \left(\overline{\nu}\right)\nu $$ -nucleon scattering and lattice QCD inputs |
| title_short | Weak neutral current axial form factor using ν ¯ ν $$ \left(\overline{\nu}\right)\nu $$ -nucleon scattering and lattice QCD inputs |
| title_sort | weak neutral current axial form factor using ν ¯ ν left overline nu right nu nucleon scattering and lattice qcd inputs |
| topic | Lattice QCD Neutrino Physics |
| url | https://doi.org/10.1007/JHEP01(2020)136 |
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