Revisiting nonfactorizable charm-loop effects in exclusive FCNC -decays

Anastasiia Kozachuk (D. V. Skobeltsyn Institute of Nuclear Physics, M. V. Lomonosov Moscow State University, Moscow, Russia) ; Dmitri Melikhov (D. V. Skobeltsyn Institute of Nuclear Physics, M. V. Lomonosov Moscow State University, Moscow, Russia; Institute for High Energy Physics, Austrian Academy of Sciences, Vienna, Austria; Faculty of Physics, University of Vienna, Vienna, Austria)

We revisit the calculation of nonfactorizable corrections induced by charm-quark loops in exclusive FCNC B-decays. For the sake of clarity, we make use of a field theory with scalar particles: this allows us to focus on the conceptual issues and to avoid technical complications related to particle spins in QCD. We perform a straightforward calculation of the appropriate correlation function and show that it requires the knowledge of the full generic three-particle distribution amplitude with non-aligned arguments, 0|s¯(y)Gμν(x)b(0)|B(p). Moreover, the dependence of this quantity on the variable (xy)2 is essential for a proper account of the (ΛQCDmb/mc2)n terms in the amplitudes of FCNC B-decays.

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      "value": "We revisit the calculation of nonfactorizable corrections induced by charm-quark loops in exclusive FCNC B-decays. For the sake of clarity, we make use of a field theory with scalar particles: this allows us to focus on the conceptual issues and to avoid technical complications related to particle spins in QCD. We perform a straightforward calculation of the appropriate correlation function and show that it requires the knowledge of the full generic three-particle distribution amplitude with non-aligned arguments, <math><mo>\u2329</mo><mn>0</mn><mo>|</mo><mover><mrow><mi>s</mi></mrow><mrow><mo>\u00af</mo></mrow></mover><mo>(</mo><mi>y</mi><mo>)</mo><msub><mrow><mi>G</mi></mrow><mrow><mi>\u03bc</mi><mi>\u03bd</mi></mrow></msub><mo>(</mo><mi>x</mi><mo>)</mo><mi>b</mi><mo>(</mo><mn>0</mn><mo>)</mo><mo>|</mo><mi>B</mi><mo>(</mo><mi>p</mi><mo>)</mo><mo>\u232a</mo></math>. Moreover, the dependence of this quantity on the variable <math><msup><mrow><mo>(</mo><mi>x</mi><mo>\u2212</mo><mi>y</mi><mo>)</mo></mrow><mrow><mn>2</mn></mrow></msup></math> is essential for a proper account of the <math><msup><mrow><mo>(</mo><msub><mrow><mi>\u039b</mi></mrow><mrow><mi>QCD</mi></mrow></msub><msub><mrow><mi>m</mi></mrow><mrow><mi>b</mi></mrow></msub><mo>/</mo><msubsup><mrow><mi>m</mi></mrow><mrow><mi>c</mi></mrow><mrow><mn>2</mn></mrow></msubsup><mo>)</mo></mrow><mrow><mi>n</mi></mrow></msup></math> terms in the amplitudes of FCNC B-decays."
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Published on:
20 October 2018
Publisher:
Elsevier
Published in:
Physics Letters B , Volume 786 C (2019)

Pages 378-381
DOI:
https://doi.org/10.1016/j.physletb.2018.10.026
Copyrights:
The Authors
Licence:
CC-BY-3.0

Fulltext files: