Abstract
The rare decay \( \overline{B} \) → Xsγ is an important probe of physics beyond the standard model. The largest uncertainty on the total rate and the CP asymmetry arises from resolved photon contributions. These appear first at order 1/mb and are related to operators other than Q7γ in the effective weak Hamiltonian. One of the three leading contributions, \( {Q}_1^q-{Q}_{7\gamma } \), is described by a non-local function whose moments are related to HQET parameters. We use recent progress in our knowledge of these parameters to reevaluate the resolved photon contribution to \( \overline{B} \) → Xsγ total rate and CP asymmetry.
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M. Misiak et al., Updated NNLO QCD predictions for the weak radiative B-meson decays, Phys. Rev. Lett. 114 (2015) 221801 [arXiv:1503.01789] [INSPIRE].
Particle Data Group collaboration, Review of particle physics, Phys. Rev. D 98 (2018) 030001 [INSPIRE].
HFLAV collaboration, Averages of b-hadron, c-hadron and τ-lepton properties as of summer 2016, Eur. Phys. J. C 77 (2017) 895 [arXiv:1612.07233] [INSPIRE].
Belle-II collaboration, The Belle II physics book, arXiv:1808.10567 [INSPIRE].
M. Benzke, S.J. Lee, M. Neubert and G. Paz, Factorization at subleading power and irreducible uncertainties in \( \overline{B} \) → Xsγ decay, JHEP 08 (2010) 099 [arXiv:1003.5012] [INSPIRE].
A. Kapustin, Z. Ligeti and H.D. Politzer, Leading logarithms of the b quark mass in inclusive B → Xsγ decay, Phys. Lett. B 357 (1995) 653 [hep-ph/9507248] [INSPIRE].
M.B. Voloshin, Large \( O\left({m}_c^{-2}\right) \) nonperturbative correction to the inclusive rate of the decay B → Xsγ, Phys. Lett. B 397 (1997) 275 [hep-ph/9612483] [INSPIRE].
Z. Ligeti, L. Randall and M.B. Wise, Comment on nonperturbative effects in \( \overline{B} \) → Xsγ, Phys. Lett. B 402 (1997) 178 [hep-ph/9702322] [INSPIRE].
A.K. Grant, A.G. Morgan, S. Nussinov and R.D. Peccei, Comment on nonperturbative \( O\left(1/{m}_c^2\right) \) corrections to Γ(\( \overline{B} \) → Xsγ), Phys. Rev. D 56 (1997) 3151 [hep-ph/9702380] [INSPIRE].
G. Buchalla, G. Isidori and S.J. Rey, Corrections of order \( {\Lambda}_{\mathrm{QCD}}^2/{m}_c^2 \) to inclusive rare B decays, Nucl. Phys. B 511 (1998) 594 [hep-ph/9705253] [INSPIRE].
S.J. Lee, M. Neubert and G. Paz, Enhanced non-local power corrections to the \( \overline{B} \) → Xsγ decay rate, Phys. Rev. D 75 (2007) 114005 [hep-ph/0609224] [INSPIRE].
J.F. Donoghue and A.A. Petrov, Is B → Xsγ equal to b → sγ? Spectator contributions to rare inclusive B decays, Phys. Rev. D 53 (1996) 3664 [hep-ph/9510227] [INSPIRE].
M. Benzke, S.J. Lee, M. Neubert and G. Paz, Long-distance dominance of the CP asymmetry in B → Xs,d + γ decays, Phys. Rev. Lett. 106 (2011) 141801 [arXiv:1012.3167] [INSPIRE].
BaBar collaboration, Measurements of direct CP asymmetries in B → Xsγ decays using sum of exclusive decays, Phys. Rev. D 90 (2014) 092001 [arXiv:1406.0534] [INSPIRE].
Belle collaboration, Measurements of isospin asymmetry and difference of direct CP asymmetries in inclusive B → Xsγ decays, Phys. Rev. D 99 (2019) 032012 [arXiv:1807.04236] [INSPIRE].
BaBar collaboration, Measurements of the B → Xsγ branching fraction and photon spectrum from a sum of exclusive final states, Phys. Rev. D 72 (2005) 052004 [hep-ex/0508004] [INSPIRE].
BaBar collaboration, Measurement of the B → Xsγ branching fraction and photon energy spectrum using the recoil method, Phys. Rev. D 77 (2008) 051103 [arXiv:0711.4889] [INSPIRE].
M. Misiak, \( \overline{B} \) → Xsγ: current status, Acta Phys. Polon. B 40 (2009) 2987 [arXiv:0911.1651] [INSPIRE].
A. Gunawardana and G. Paz, On HQET and NRQCD operators of dimension 8 and above, JHEP 07 (2017) 137 [arXiv:1702.08904] [INSPIRE].
A. Kobach and S. Pal, Hilbert series and operator basis for NRQED and NRQCD/HQET, Phys. Lett. B 772 (2017) 225 [arXiv:1704.00008] [INSPIRE].
T. Mannel, S. Turczyk and N. Uraltsev, Higher order power corrections in inclusive B decays, JHEP 11 (2010) 109 [arXiv:1009.4622] [INSPIRE].
P. Gambino, K.J. Healey and S. Turczyk, Taming the higher power corrections in semileptonic B decays, Phys. Lett. B 763 (2016) 60 [arXiv:1606.06174] [INSPIRE].
J. Heinonen and T. Mannel, Improved estimates for the parameters of the heavy quark expansion, Nucl. Phys. B 889 (2014) 46 [arXiv:1407.4384] [INSPIRE].
T. Mannel, Higher order 1/m corrections at zero recoil, Phys. Rev. D 50 (1994) 428 [hep-ph/9403249] [INSPIRE].
S.W. Bosch, M. Neubert and G. Paz, Subleading shape functions in inclusive B decays, JHEP 11 (2004) 073 [hep-ph/0409115] [INSPIRE].
M. Gremm and A. Kapustin, Order \( 1/{m}_b^3 \) corrections to \( B\to {X}_c\ell \overline{\nu} \) decay and their implication for the measurement of \( \overline{\Lambda} \) and λ1, Phys. Rev. D 55 (1997) 6924 [hep-ph/9603448] [INSPIRE].
M. Neubert, Advanced predictions for moments of the \( \overline{B} \) → Xsγ photon spectrum, Phys. Rev. D 72 (2005) 074025 [hep-ph/0506245] [INSPIRE].
A.J. Buras, Weak Hamiltonian, CP-violation and rare decays, in Probing the standard model of particle interactions. Proceedings, Summer School in Theoretical Physics, NATO Advanced Study Institute, 68th session, Les Houches, France, 28 July–5 September 1997, pg. 281 [hep-ph/9806471] [INSPIRE].
A.H. Hoang and A.V. Manohar, Charm quark mass from inclusive semileptonic B decays, Phys. Lett. B 633 (2006) 526 [hep-ph/0509195] [INSPIRE].
M. Misiak et al., Estimate of \( \mathcal{B} \)(\( \overline{B} \) → Xsγ) at \( O\left({\alpha}_s^2\right) \), Phys. Rev. Lett. 98 (2007) 022002 [hep-ph/0609232] [INSPIRE].
M. Misiak and M. Steinhauser, NNLO QCD corrections to the \( \overline{B} \) → Xsγ matrix elements using interpolation in mc, Nucl. Phys. B 764 (2007) 62 [hep-ph/0609241] [INSPIRE].
S.W. Bosch, B.O. Lange, M. Neubert and G. Paz, Factorization and shape function effects in inclusive B meson decays, Nucl. Phys. B 699 (2004) 335 [hep-ph/0402094] [INSPIRE].
Z. Ligeti, I.W. Stewart and F.J. Tackmann, Treating the b quark distribution function with reliable uncertainties, Phys. Rev. D 78 (2008) 114014 [arXiv:0807.1926] [INSPIRE].
T. Becher, A. Broggio and A. Ferroglia, Introduction to soft-collinear effective theory, Lect. Notes Phys. 896 (2015) 1 [arXiv:1410.1892] [INSPIRE].
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ArXiv ePrint: 1908.02812
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Gunawardana, A., Paz, G. Reevaluating uncertainties in \( \overline{B} \) → Xsγ decay. J. High Energ. Phys. 2019, 141 (2019). https://doi.org/10.1007/JHEP11(2019)141
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DOI: https://doi.org/10.1007/JHEP11(2019)141