The $$Q_{1,2}$$ Q 1 , 2 – $$Q_7$$ Q 7 interference contributions to $$b \rightarrow s \gamma $$ b → s γ at $${\mathcal O}(\alpha _{\mathrm s}^2)$$ O ( α s 2 ) for the physical value of $$m_c$$ m c
Abstract The $$\bar{B}\rightarrow X_s\gamma $$ B ¯ → X s γ branching ratio is currently measured with around $$5\%$$ 5 % accuracy. Further improvement is expected from Belle II. To match such a precision on the theoretical side, evaluation of $${\mathcal O}(\alpha _{\mathrm s}^2)$$ O ( α s 2 ) corre...
| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-12-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-023-12270-8 |
| _version_ | 1797233317558353920 |
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| author | M. Czaja M. Czakon T. Huber M. Misiak M. Niggetiedt A. Rehman K. Schönwald M. Steinhauser |
| author_facet | M. Czaja M. Czakon T. Huber M. Misiak M. Niggetiedt A. Rehman K. Schönwald M. Steinhauser |
| author_sort | M. Czaja |
| collection | DOAJ |
| description | Abstract The $$\bar{B}\rightarrow X_s\gamma $$ B ¯ → X s γ branching ratio is currently measured with around $$5\%$$ 5 % accuracy. Further improvement is expected from Belle II. To match such a precision on the theoretical side, evaluation of $${\mathcal O}(\alpha _{\mathrm s}^2)$$ O ( α s 2 ) corrections to the partonic decay $$b \rightarrow X_s^\textrm{part}\gamma $$ b → X s part γ are necessary, which includes the $$b \rightarrow s \gamma $$ b → s γ , $$b \rightarrow s g\gamma $$ b → s g γ , $$b \rightarrow s gg\gamma $$ b → s g g γ , $$b \rightarrow sq\bar{q}\gamma $$ b → s q q ¯ γ decay channels. Here, we evaluate the unrenormalized contribution to $$b \rightarrow s \gamma $$ b → s γ that stems from the interference of the photonic dipole operator $$Q_7$$ Q 7 and the current–current operators $$Q_1$$ Q 1 and $$Q_2$$ Q 2 . Our results, obtained in the cut propagator approach at the 4-loop level, agree with those found in parallel by Fael et al. who have applied the amplitude approach at the 3-loop level. Partial results for the same quantities recently determined by Greub et al. agree with our findings, too. |
| first_indexed | 2024-03-09T01:15:31Z |
| format | Article |
| id | doaj.art-49b8b94753ed4bf98ff072d048db3a72 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-24T16:14:15Z |
| publishDate | 2023-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-49b8b94753ed4bf98ff072d048db3a722024-03-31T11:31:49ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-12-0183121610.1140/epjc/s10052-023-12270-8The $$Q_{1,2}$$ Q 1 , 2 – $$Q_7$$ Q 7 interference contributions to $$b \rightarrow s \gamma $$ b → s γ at $${\mathcal O}(\alpha _{\mathrm s}^2)$$ O ( α s 2 ) for the physical value of $$m_c$$ m cM. Czaja0M. Czakon1T. Huber2M. Misiak3M. Niggetiedt4A. Rehman5K. Schönwald6M. Steinhauser7Faculty of Physics, Institute of Theoretical Physics, University of WarsawInstitut für Theoretische Teilchenphysik und Kosmologie, RWTH Aachen UniversityTheoretische Physik 1, Center for Particle Physics Siegen (CPPS), Universität SiegenFaculty of Physics, Institute of Theoretical Physics, University of WarsawMax Planck Institute for PhysicsDepartment of Physics, University of AlbertaPhysik Institut, Universität ZürichInstitut für Theoretische Teilchenphysik, Karlsruhe Institute of Technology (KIT)Abstract The $$\bar{B}\rightarrow X_s\gamma $$ B ¯ → X s γ branching ratio is currently measured with around $$5\%$$ 5 % accuracy. Further improvement is expected from Belle II. To match such a precision on the theoretical side, evaluation of $${\mathcal O}(\alpha _{\mathrm s}^2)$$ O ( α s 2 ) corrections to the partonic decay $$b \rightarrow X_s^\textrm{part}\gamma $$ b → X s part γ are necessary, which includes the $$b \rightarrow s \gamma $$ b → s γ , $$b \rightarrow s g\gamma $$ b → s g γ , $$b \rightarrow s gg\gamma $$ b → s g g γ , $$b \rightarrow sq\bar{q}\gamma $$ b → s q q ¯ γ decay channels. Here, we evaluate the unrenormalized contribution to $$b \rightarrow s \gamma $$ b → s γ that stems from the interference of the photonic dipole operator $$Q_7$$ Q 7 and the current–current operators $$Q_1$$ Q 1 and $$Q_2$$ Q 2 . Our results, obtained in the cut propagator approach at the 4-loop level, agree with those found in parallel by Fael et al. who have applied the amplitude approach at the 3-loop level. Partial results for the same quantities recently determined by Greub et al. agree with our findings, too.https://doi.org/10.1140/epjc/s10052-023-12270-8 |
| spellingShingle | M. Czaja M. Czakon T. Huber M. Misiak M. Niggetiedt A. Rehman K. Schönwald M. Steinhauser The $$Q_{1,2}$$ Q 1 , 2 – $$Q_7$$ Q 7 interference contributions to $$b \rightarrow s \gamma $$ b → s γ at $${\mathcal O}(\alpha _{\mathrm s}^2)$$ O ( α s 2 ) for the physical value of $$m_c$$ m c European Physical Journal C: Particles and Fields |
| title | The $$Q_{1,2}$$ Q 1 , 2 – $$Q_7$$ Q 7 interference contributions to $$b \rightarrow s \gamma $$ b → s γ at $${\mathcal O}(\alpha _{\mathrm s}^2)$$ O ( α s 2 ) for the physical value of $$m_c$$ m c |
| title_full | The $$Q_{1,2}$$ Q 1 , 2 – $$Q_7$$ Q 7 interference contributions to $$b \rightarrow s \gamma $$ b → s γ at $${\mathcal O}(\alpha _{\mathrm s}^2)$$ O ( α s 2 ) for the physical value of $$m_c$$ m c |
| title_fullStr | The $$Q_{1,2}$$ Q 1 , 2 – $$Q_7$$ Q 7 interference contributions to $$b \rightarrow s \gamma $$ b → s γ at $${\mathcal O}(\alpha _{\mathrm s}^2)$$ O ( α s 2 ) for the physical value of $$m_c$$ m c |
| title_full_unstemmed | The $$Q_{1,2}$$ Q 1 , 2 – $$Q_7$$ Q 7 interference contributions to $$b \rightarrow s \gamma $$ b → s γ at $${\mathcal O}(\alpha _{\mathrm s}^2)$$ O ( α s 2 ) for the physical value of $$m_c$$ m c |
| title_short | The $$Q_{1,2}$$ Q 1 , 2 – $$Q_7$$ Q 7 interference contributions to $$b \rightarrow s \gamma $$ b → s γ at $${\mathcal O}(\alpha _{\mathrm s}^2)$$ O ( α s 2 ) for the physical value of $$m_c$$ m c |
| title_sort | q 1 2 q 1 2 q 7 q 7 interference contributions to b rightarrow s gamma b s γ at mathcal o alpha mathrm s 2 o α s 2 for the physical value of m c m c |
| url | https://doi.org/10.1140/epjc/s10052-023-12270-8 |
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