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 curre...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Springer Berlin Heidelberg
2021
|
| Online Access: | https://hdl.handle.net/1721.1/131644 |
| _version_ | 1811078735591374848 |
|---|---|
| author | Descotes-Genon, Sébastien Khodjamirian, Alexander Virto, Javier |
| author_facet | Descotes-Genon, Sébastien Khodjamirian, Alexander Virto, Javier |
| author_sort | Descotes-Genon, Sébastien |
| collection | MIT |
| 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 | 2024-09-23T11:04:39Z |
| format | Article |
| id | mit-1721.1/131644 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T11:04:39Z |
| publishDate | 2021 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1316442021-09-21T03:45:14Z Light-cone sum rules for B → K π form factors and applications to rare decays Descotes-Genon, Sébastien Khodjamirian, Alexander Virto, Javier 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. 2021-09-20T17:29:18Z 2021-09-20T17:29:18Z 2019-12-10 2020-06-26T13:11:00Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/131644 Journal of High Energy Physics. 2019 Dec 10;2019(12):83 PUBLISHER_CC en https://doi.org/10.1007/JHEP12(2019)083 Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Descotes-Genon, Sébastien Khodjamirian, Alexander Virto, Javier Light-cone sum rules for B → K π form factors and applications to rare decays |
| 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 |
| url | https://hdl.handle.net/1721.1/131644 |
| work_keys_str_mv | AT descotesgenonsebastien lightconesumrulesforbkpformfactorsandapplicationstoraredecays AT khodjamirianalexander lightconesumrulesforbkpformfactorsandapplicationstoraredecays AT virtojavier lightconesumrulesforbkpformfactorsandapplicationstoraredecays |