Constrained second-order power corrections in HQET: R ( D ( * ) ) , | V c b | , and new physics

Bernlochner, Florian U.; Ligeti, Zoltan; Papucci, Michele; Prim, Markus T.; Robinson, Dean J.; Xiong, Chenglu

doi:10.1103/PhysRevD.106.096015

Title: Constrained second-order power corrections in HQET: $R (D^{(*)})$ , $| V_{c b} |$ , and new physics

Journal Article · Thu Nov 17 00:00:00 EST 2022 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.106.096015· OSTI ID:1898955

Bernlochner, Florian U.; Ligeti, Zoltan; Papucci, Michele; Prim, Markus T.;

;

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 B¯→D(*) form factors, both within and beyond the standard model to O(α_s/m_c,b,1/m$$^{2}_{c,b}$$), under truncation by this power counting. We show that the second-order power corrections to the zero-recoil normalization of the B¯→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 B¯→D(*)τν¯ 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_cm_b) corrections and note a tension between commonly used simplified dispersive bounds and current data.

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Research Organization:: California Institute of Technology (CalTech), Pasadena, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)

Grant/Contract Number:: SC0011632; AC02-05CH11231; PHY-1607611

OSTI ID:: 1898955

Alternate ID(s):: OSTI ID: 1901969

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 106 Journal Issue: 9; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Title: Constrained second-order power corrections in HQET: $R (D^{(*)})$ , $| V_{c b} |$ , and new physics