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Constrained second-order power corrections in HQET: R(D⁽*⁾), |V_(cb)|, and new physics

Bernlochner, Florian U. and Ligeti, Zoltan and Papucci, Michele and Prim, Markus T. and Robinson, Dean J. and Xiong, Chenglu (2022) Constrained second-order power corrections in HQET: R(D⁽*⁾), |V_(cb)|, and new physics. Physical Review D, 106 (9). Art. No. 096015. ISSN 2470-0010. doi:10.1103/physrevd.106.096015.

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We postulate a supplemental power counting within the heavy quark effective theory (HQET) that results in a small, highly constrained set of second-order power corrections, compared to the standard approach. We determine all B̅ → D⁽*⁾ form factors, both within and beyond the standard model to O(αₛ/m_(c,b), 1/m²_(c,b)), under truncation by this power counting. We show that the second-order power corrections to the zero-recoil normalization of the B̅ → D⁽*⁾lν matrix elements (l = e, μ, τ) are fully determined by hadron mass parameters and are in good agreement with lattice QCD (LQCD) predictions. We develop a parametrization of these form factors under the postulated truncation, that achieves excellent fits to the available LQCD predictions and experimental data, and we provide precise updated predictions for the B̅ → D⁽*⁾τν̅ decay rates, lepton flavor universality violation ratios R(D⁽*⁾), and the Cabibbo-Kobayashi-Maskawa matrix element |V_(cb)|. We point out some apparent errors in prior literature concerning the O(1/m_(c)m_(b)) corrections and note a tension between commonly used simplified dispersive bounds and current data.

Item Type:Article
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URLURL TypeDescription
Bernlochner, Florian U.0000-0001-8153-2719
Ligeti, Zoltan0000-0002-4830-5773
Papucci, Michele0000-0003-0810-0017
Prim, Markus T.0000-0002-1407-7450
Robinson, Dean J.0000-0003-0057-1703
Xiong, Chenglu0000-0002-9573-0748
Additional Information:Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3. We thank Nathaniel Craig, Marat Freytsis, Mike Luke, and Mark Wise for discussions and comments on the manuscript. Z. L. and M. P. thank the Aspen Center for Physics (supported by the NSF Grant No. PHY-1607611) for its hospitality, where part of this work was performed. F. B. is supported by DFG Emmy-Noether Grant No. BE 6075/1-1 and BMBF Grant No. 05H21PDKBA. F. B. thanks LBNL for its hospitality. M. P. is supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award No. DE-SC0011632 and by the Walter Burke Institute for Theoretical Physics. M. T. P. is supported by the Argelander Starter-Kit Grant of the University of Bonn and BMBF Grant No. 05H21PDKBA. Z. L. and D. J. R. are supported by the Office of High Energy Physics of the U.S. Department of Energy under Contract No. DE-AC02-05CH11231. Funded by SCOAP3.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Deutsche Forschungsgemeinschaft (DFG)BE 6075/1-1
Bundesministerium für Bildung und Forschung (BMBF)05H21PDKBA
Department of Energy (DOE)DE-SC0011632
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
University of BonnUNSPECIFIED
Department of Energy (DOE)DE-AC02-05CH11231
Issue or Number:9
Record Number:CaltechAUTHORS:20230103-817548100.25
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:118626
Deposited By: Research Services Depository
Deposited On:27 Jan 2023 18:49
Last Modified:27 Jan 2023 18:49

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