Towards two- and three-loop QCD corrections to the width difference in $B_s-\bar{B}_s$ mixing
In this work we address the issue of large perturbative uncertainties in the theory prediction for $\Delta \Gamma_s$, the width difference in the $B^0_s - \bar{B}^0_s$ mixing process. To this aim we complete important steps towards the full analytic result for the previously unknown Wilson coeffi...
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| Format: | Article |
| Language: | English |
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SciPost
2022-06-01
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| Series: | SciPost Physics Proceedings |
| Online Access: | https://scipost.org/SciPostPhysProc.7.025 |
| Summary: | In this work we address the issue of large perturbative uncertainties in the
theory prediction for $\Delta \Gamma_s$, the width difference in the $B^0_s -
\bar{B}^0_s$ mixing process. To this aim we complete important steps towards
the full analytic result for the previously unknown Wilson coefficients from
the matching between $|\Delta B|=1$ and $|\Delta B|=2$ effective Hamiltonians
at next-to-next-leading order (NNLO) in the strong coupling constant. We
provide a thorough discussion of technical and conceptual difficulties behind
this computation and give an outlook regarding the availability of the new NNLO
theory prediction for $\Delta \Gamma_s$. |
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| ISSN: | 2666-4003 |