Light-cone sum rules for B → K π form factors and applications to rare decays
Abstract We derive a set of light-cone sum rules relating the hadronic form factors relevant for B → Kπℓ + ℓ − decays to the B-meson light-cone distribution amplitudes (LCDAs). We obtain the sum rule relations for all B → K π form factors of (axial)vector and (pseudo)tensor b → s currents with a P -...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-12-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2019)083 |
| _version_ | 1818929295036252160 |
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| author | Sébastien Descotes-Genon Alexander Khodjamirian Javier Virto |
| author_facet | Sébastien Descotes-Genon Alexander Khodjamirian Javier Virto |
| author_sort | Sébastien Descotes-Genon |
| collection | DOAJ |
| description | Abstract We derive a set of light-cone sum rules relating the hadronic form factors relevant for B → Kπℓ + ℓ − decays to the B-meson light-cone distribution amplitudes (LCDAs). We obtain the sum rule relations for all B → K π form factors of (axial)vector and (pseudo)tensor b → s currents with a P -wave K π system. Our results reduce to the known light-cone sum rules for B → K ∗ form factors in the limit of a single narrow-width resonance. We update the operator-product expansion for the underlying correlation function by including a more complete set of B-meson LCDAs with higher twists, and produce numerical results for all B → K ∗ form factors in the narrow-width limit. We then use the new sum rules to estimate the effect of a non-vanishing K ∗ width in B → K ∗ transitions, and find that this effect is universal and increases the factorizable part of the rate of B → K ∗ X decays by a factor of 20%. This effect, by itself, goes in the direction of increasing the current tension in the differential B → K ∗ μμ branching fractions. We also discuss B → K π transitions outside the K ∗ window, and explain how measurements of B → K πℓℓ observables above the K ∗ region can be used to further constrain the B → K ∗ form factors. |
| first_indexed | 2024-12-20T03:42:32Z |
| format | Article |
| id | doaj.art-766f47af7d0b425ab18345a83b458819 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-20T03:42:32Z |
| publishDate | 2019-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-766f47af7d0b425ab18345a83b4588192022-12-21T19:54:43ZengSpringerOpenJournal of High Energy Physics1029-84792019-12-0120191216710.1007/JHEP12(2019)083Light-cone sum rules for B → K π form factors and applications to rare decaysSébastien Descotes-Genon0Alexander Khodjamirian1Javier Virto2Laboratoire de Physique Théorique (UMR 8627), CNRS, Univ. Paris-Sud, Universit́e Paris-SaclayTheoretische Physik 1, Naturwissenschaftlich-Technische Fakultät, Universit¨at SiegenCenter for Theoretical Physics, Massachusetts Institute of TechnologyAbstract We derive a set of light-cone sum rules relating the hadronic form factors relevant for B → Kπℓ + ℓ − decays to the B-meson light-cone distribution amplitudes (LCDAs). We obtain the sum rule relations for all B → K π form factors of (axial)vector and (pseudo)tensor b → s currents with a P -wave K π system. Our results reduce to the known light-cone sum rules for B → K ∗ form factors in the limit of a single narrow-width resonance. We update the operator-product expansion for the underlying correlation function by including a more complete set of B-meson LCDAs with higher twists, and produce numerical results for all B → K ∗ form factors in the narrow-width limit. We then use the new sum rules to estimate the effect of a non-vanishing K ∗ width in B → K ∗ transitions, and find that this effect is universal and increases the factorizable part of the rate of B → K ∗ X decays by a factor of 20%. This effect, by itself, goes in the direction of increasing the current tension in the differential B → K ∗ μμ branching fractions. We also discuss B → K π transitions outside the K ∗ window, and explain how measurements of B → K πℓℓ observables above the K ∗ region can be used to further constrain the B → K ∗ form factors.https://doi.org/10.1007/JHEP12(2019)083Beyond Standard ModelHeavy Quark PhysicsNonperturbative Effects |
| spellingShingle | Sébastien Descotes-Genon Alexander Khodjamirian Javier Virto Light-cone sum rules for B → K π form factors and applications to rare decays Journal of High Energy Physics Beyond Standard Model Heavy Quark Physics Nonperturbative Effects |
| title | Light-cone sum rules for B → K π form factors and applications to rare decays |
| title_full | Light-cone sum rules for B → K π form factors and applications to rare decays |
| title_fullStr | Light-cone sum rules for B → K π form factors and applications to rare decays |
| title_full_unstemmed | Light-cone sum rules for B → K π form factors and applications to rare decays |
| title_short | Light-cone sum rules for B → K π form factors and applications to rare decays |
| title_sort | light cone sum rules for b k π form factors and applications to rare decays |
| topic | Beyond Standard Model Heavy Quark Physics Nonperturbative Effects |
| url | https://doi.org/10.1007/JHEP12(2019)083 |
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