Four-body contributions to B ¯ → X sγ at NLO

Journal of High Energy Physics

Volumn 2015, Issue 1, 2015, Pages

  Huber, Tobias ^a   Poradziński, Michał ^a,b   Virto, Javier ^a  

^a UNIVERSITY OF SIEGEN   (Germany)

^b UNIVERSITY OF WARSAW   (Poland)

Author keywords

B Physics; Effective field theories; QCD; Rare Decays

Indexed keywords

EID: 84921943503     PISSN: None     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP01(2015)115     Document Type: Article

References (63)

1. CLEO collaboration, S. Chen et al., Branching fraction and photon energy spectrum for b → sγ, Phys. Rev. Lett.87 (2001) 251807 [hep-ex/0108032] [INSPIRE].
2. sγ decays with BELLE, Phys. Lett.B 511 (2001) 151 [hep-ex/0103042] [INSPIRE].
3. Belle collaboration, A. Limosani et al., Measurement of Inclusive Radiative B-meson Decays with a Photon Energy Threshold of 1.7-GeV, Phys. Rev. Lett.103 (2009) 241801 [arXiv:0907.1384] [INSPIRE].
4. sγ branching fraction and photon energy spectrum using the recoil method, Phys. Rev.D 77 (2008) 051103 [arXiv:0711.4889] [INSPIRE].
5. BaBar collaboration, J.P. Lees et al., Exclusive Measurements of b → sγ Transition Rate and Photon Energy Spectrum, Phys. Rev.D 86 (2012) 052012 [arXiv:1207.2520] [INSPIRE].
6. s+dγ decays, Phys. Rev.D 86 (2012) 112008 [arXiv:1207.5772] [INSPIRE].
7. s+dγ), Phys. Rev. Lett.109 (2012) 191801 [arXiv:1207.2690] [INSPIRE].
8. Heavy Flavor Averaging Group collaboration, Y. Amhis et al., Averages of b-hadron, c-hadron and τ-lepton properties as of early 2012, arXiv:1207.1158 [INSPIRE].
9. Y. Sato, Inclusive B decays and exclusive radiative decays by Belle, arXiv:1411.3773 [INSPIRE].
10. Belle collaboration, T. Saito et al., Measurement of theB¯→Xsγ$$ \overline{B}\to {X}_s\gamma $$Branching Fraction with a Sum of Exclusive Decays, arXiv:1411.7198 [INSPIRE].
11. 2), Phys. Rev. Lett.98 (2007) 022002 [hep-ph/0609232] [INSPIRE].
12. scalculation of b → s + γ b → s + g, Phys. Rev.D 49 (1994) 4945 [hep-ph/9308349] [INSPIRE].
13. C. Greub and T. Hurth, Two loop matching of the dipole operators for b → sγ and b → sg, Phys. Rev.D 56 (1997) 2934 [hep-ph/9703349] [INSPIRE].
14. sγ decay, Nucl. Phys.B 517 (1998) 353 [hep-ph/9710336] [INSPIRE].
15. M. Ciuchini, G. Degrassi, P. Gambino and G.F. Giudice, Next-to-leading QCD corrections toB¯→Xsγ$$ \overline{B}\to {X}_s\gamma $$: Standard model and two Higgs doublet model, Nucl. Phys.B 527 (1998) 21 [hep-ph/9710335] [INSPIRE].
16. C. Bobeth, M. Misiak and J. Urban, Matching conditions for b → sγ and b → s gluon in extensions of the standard model, Nucl. Phys.B 567 (2000) 153 [hep-ph/9904413] [INSPIRE].
17. −], Nucl. Phys.B 574 (2000) 291 [hep-ph/9910220] [INSPIRE].
18. P. Gambino and U. Haisch, Electroweak effects in radiative B decays, JHEP09 (2000) 001 [hep-ph/0007259] [INSPIRE].
19. P. Gambino and U. Haisch, Complete electroweak matching for radiative B decays, JHEP10 (2001) 020 [hep-ph/0109058] [INSPIRE].
20. M. Misiak and M. Steinhauser, Three loop matching of the dipole operators for b → sγ and b → s g, Nucl. Phys.B 683 (2004) 277 [hep-ph/0401041] [INSPIRE].
21. 2), Nucl. Phys.B 400 (1993) 37 [hep-ph/9211304] [INSPIRE].
22. M. Ciuchini, E. Franco, G. Martinelli and L. Reina, The ΔS = 1 effective Hamiltonian including next-to-leading order QCD and QED corrections, Nucl. Phys.B 415 (1994) 403 [hep-ph/9304257] [INSPIRE].
23. M. Misiak and M. Münz, Two loop mixing of dimension five flavor changing operators, Phys. Lett.B 344 (1995) 308 [hep-ph/9409454] [INSPIRE].
24. K.G. Chetyrkin, M. Misiak and M. Münz, Weak radiative B meson decay beyond leading logarithms, Phys. Lett.B 400 (1997) 206 [Erratum ibid.B 425 (1998) 414] [hep-ph/9612313] [INSPIRE].
25. K.G. Chetyrkin, M. Misiak and M. Münz, |ΔF | = 1 nonleptonic effective Hamiltonian in a simpler scheme, Nucl. Phys.B 520 (1998) 279 [hep-ph/9711280] [INSPIRE].
26. K.G. Chetyrkin, M. Misiak and M. Münz, β-functions and anomalous dimensions up to three loops, Nucl. Phys.B 518 (1998) 473 [hep-ph/9711266] [INSPIRE].
27. P. Gambino, M. Gorbahn and U. Haisch, Anomalous dimension matrix for radiative and rare semileptonic B decays up to three loops, Nucl. Phys.B 673 (2003) 238 [hep-ph/0306079] [INSPIRE].
28. M. Gorbahn and U. Haisch, Effective Hamiltonian for non-leptonic |ΔF | = 1 decays at NNLO in QCD, Nucl. Phys.B 713 (2005) 291 [hep-ph/0411071] [INSPIRE].
29. M. Gorbahn, U. Haisch and M. Misiak, Three-loop mixing of dipole operators, Phys. Rev. Lett.95 (2005) 102004 [hep-ph/0504194] [INSPIRE].
30. M. Czakon, U. Haisch and M. Misiak, Four-Loop Anomalous Dimensions for Radiative Flavour-Changing Decays, JHEP03 (2007) 008 [hep-ph/0612329] [INSPIRE].
31. s + γ and comparison with data, Phys. Lett.B 361 (1995) 146 [hep-ph/9506374] [INSPIRE].
32. N. Pott, Bremsstrahlung corrections to the decay b → sγ, Phys. Rev.D 54 (1996) 938 [hep-ph/9512252] [INSPIRE].
33. C. Greub, T. Hurth and D. Wyler, Virtual corrections to the decay b → s + γ, Phys. Lett.B 380 (1996) 385 [hep-ph/9602281] [INSPIRE].
34. s) corrections to the inclusive decay b → sγ, Phys. Rev.D 54 (1996) 3350 [hep-ph/9603404] [INSPIRE].
35. Z. Ligeti, M.E. Luke, A.V. Manohar and M.B. Wise, TheB¯→Xsγ$$ \overline{B}\to {X}_s\gamma $$photon spectrum, Phys. Rev.D 60 (1999) 034019 [hep-ph/9903305] [INSPIRE].
36. sγ, Nucl. Phys.B 611 (2001) 488 [hep-ph/0105160] [INSPIRE].
37. A.J. Buras, A. Czarnecki, M. Misiak and J. Urban, Completing the NLO QCD calculation ofB¯→Xsγ$$ \overline{B}\to {X}_s\gamma $$, Nucl. Phys.B 631 (2002) 219 [hep-ph/0203135] [INSPIRE].
38. K. Bieri, C. Greub and M. Steinhauser, Fermionic NNLL corrections to b → sγ, Phys. Rev.D 67 (2003) 114019 [hep-ph/0302051] [INSPIRE].
39. 2), Phys. Lett.B 620 (2005) 69 [hep-ph/0505097] [INSPIRE].
40. 2), Phys. Rev.D 72 (2005) 033014 [hep-ph/0506055] [INSPIRE].
41. H.M. Asatrian et al., NNLL QCD contribution of the electromagnetic dipole operator toΓB¯→Xsγ$$ \Gamma \left(\overline{B}\to {X}_s\gamma \right) $$, Nucl. Phys.B 749 (2006) 325 [hep-ph/0605009] [INSPIRE].
42. 2), Nucl. Phys.B 762 (2007) 212 [hep-ph/0607316] [INSPIRE].
43. c, Nucl. Phys.B 764 (2007) 62 [hep-ph/0609241] [INSPIRE].
44. R. Boughezal, M. Czakon and T. Schutzmeier, NNLO fermionic corrections to the charm quark mass dependent matrix elements inB¯→Xsγ$$ \overline{B}\to {X}_s\gamma $$, JHEP09 (2007) 072 [arXiv:0707.3090] [INSPIRE].
45. 2), Phys. Lett.B 669 (2008) 167 [arXiv:0805.3911] [INSPIRE].
46. sγ, Nucl. Phys.B 840 (2010) 271 [arXiv:1005.1173] [INSPIRE].
47. 2), Phys. Rev.D 82 (2010) 074006 [arXiv:1005.5587] [INSPIRE].
48. 2), Phys. Rev.D 82 (2010) 094012 [arXiv:1009.2144] [INSPIRE].
49. M. Misiak and M. Poradzinski, Completing the Calculation of BLM corrections to−−B→Xsγ$$ \overset{-}{-}B\to Xs\gamma $$, Phys. Rev.D 83 (2011) 014024 [arXiv:1009.5685] [INSPIRE].
50. sγ, Phys. Rev.D 86 (2012) 094004 [arXiv:1209.0965] [INSPIRE].
51. 1,2) contribution toℬB¯→Xsγ$$ \mathrm{\mathcal{B}}\left(\overline{B}\to {X}_s\gamma \right) $$atOαs2$$ \mathcal{O}\left({\alpha}_s^2\right) $$, in preparation.
52. P. Gambino and M. Misiak, Quark mass effects inB¯→Xsγ$$ \overline{B}\to {X}_s\gamma $$, Nucl. Phys.B 611 (2001) 338 [hep-ph/0104034] [INSPIRE].
53. M. Benzke, S.J. Lee, M. Neubert and G. Paz, Factorization at Subleading Power and Irreducible Uncertainties inB¯→Xsγ$$ \overline{B}\to {X}_s\gamma $$Decay, JHEP08 (2010) 099 [arXiv:1003.5012] [INSPIRE].
54. T. van Ritbergen, The Second order QCD contribution to the semileptonic b → u decay rate, Phys. Lett.B 454 (1999) 353 [hep-ph/9903226] [INSPIRE].
55. S. Catani and M.H. Seymour, A General algorithm for calculating jet cross-sections in NLO QCD, Nucl. Phys.B 485 (1997) 291 [Erratum ibid.B 510 (1998) 503] [hep-ph/9605323] [INSPIRE].
56. S. Catani, S. Dittmaier and Z. Trócsányi, One loop singular behavior of QCD and SUSY QCD amplitudes with massive partons, Phys. Lett.B 500 (2001) 149 [hep-ph/0011222] [INSPIRE].
57. M. Cacciari and S. Catani, Soft gluon resummation for the fragmentation of light and heavy quarks at large x, Nucl. Phys.B 617 (2001) 253 [hep-ph/0107138] [INSPIRE].
58. M. Cacciari and E. Gardi, Heavy quark fragmentation, Nucl. Phys.B 664 (2003) 299 [hep-ph/0301047] [INSPIRE].
59. A. Gehrmann-De Ridder, T. Gehrmann and G. Heinrich, Four particle phase space integrals in massless QCD, Nucl. Phys.B 682 (2004) 265 [hep-ph/0311276] [INSPIRE].
60. T. Huber, E. Lunghi, M. Misiak and D. Wyler, Electromagnetic logarithms inB¯→Xsℓ+ℓ−$$ \overline{B}\to {X}_s{\ell}^{+}{\ell}^{-} $$, Nucl. Phys.B 740 (2006) 105 [hep-ph/0512066] [INSPIRE].
61. T. Huber and D. Maître, HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters, Comput. Phys. Commun.178 (2008) 755 [arXiv:0708.2443] [INSPIRE].
62. Particle Data Group collaboration, K.A. Olive et al., Review of Particle Physics, Chin. Phys.C 38 (2014) 090001 [INSPIRE].
63. Belle-II collaboration, T. Abe et al., Belle II Technical Design Report, arXiv:1011.0352 [INSPIRE].