Model-independent bounds on new physics effects in non-leptonic tree-level decays of B-mesons
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Springer
Received: April 17, Revised: June 26, Accepted: July 2, Published: July 24,
2020 2020 2020 2020
Alexander Lenza and Gilberto Tetlalmatzi-Xolocotzib,c,1 a
Institute for Particle Physics Phenomenology, Durham University, DH1 3LE Durham, United Kingdom b Theoretische Physik 1, Naturwissenschaftlich-Technische Fakult¨ at, Universit¨ at Siegen, Walter-Flex-Strasse 3, D-57068 Siegen, Germany c Nikhef, Theory Group, Science Park 105, 1098 XG Amsterdam, The Netherlands
E-mail: [email protected], [email protected] Abstract: We present a considerably improved analysis of model-independent bounds on new physics effects in non-leptonic tree-level decays of B-mesons. Our main finding is that contributions of about ±0.1 to the Wilson coefficient of the colour-singlet operator Q2 of the effective weak Hamiltonian and contributions in the range of ±0.5 (both for real and imaginary part) to Q1 can currently not be excluded at the 90% C.L. . Effects of such a size can modify the direct experimental extraction of the CKM angle γ by up to 10◦ and they could lead to an enhancement of the decay rate difference ∆Γd of up to a factor of 5 over its SM value — a size that could explain the D0 dimuon asymmetry. Future more precise measurements of the semi-leptonic asymmetries aqsl and the lifetime ratio τ (Bs )/τ (Bd ) will allow to shrink the bounds on tree-level new physics effects considerably. Due to significant improvements in the precision of the non-perturbative input we update all SM predictions for the mixing obervables in the course of this analysis, obtaining: ∆Ms = (18.77 ± 0.86) ps−1 , ∆Md = (0.543 ± 0.029) ps−1 , ∆Γs = (9.1 ± 1.3) · 10−2 ps−1 , ∆Γd = (2.6 ± 0.4) · 10−3 ps−1 , assl = (2.06 ± 0.18) · 10−5 and adsl = (−4.73 ± 0.42) · 10−4 . Keywords: Beyond Standard Model, CP violation, Heavy Quark Physics ArXiv ePrint: 1912.07621 1
Corresponding author.
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP07(2020)177
JHEP07(2020)177
Model-independent bounds on new physics effects in non-leptonic tree-level decays of B-mesons
Contents 1 Introduction
1
2 Basic formalism 2.1 Effective Hamiltonian 2.2 Heavy Quark Expansion 2.3 QCD factorization
3 3 5 7 11 12
4 Individual constraints 4.1 Observables constraining b → c¯ ud transitions 0 ∗+ − ¯ 4.1.1 Bd → D π 4.2 Observables constraining b → u¯ ud transitions 4.2.1 Rππ 4.2.2 Sππ 4.2.3 Sρπ 4.2.4 Rρρ 4.3 Observables constraining b → c¯ cs transitions ¯ 4.3.1 B → Xs γ 4.3.2 ∆Γs : bounds and SM update 4.3.3 SJ/ψφ 4.3.4 τBs /τBd 4.4 Observables constraining b → c¯ cd transitions 4.4.1 sin(2βd ) and SM update of ∆Mq ¯ → Xd γ 4.4.2 B 4.5 Observables constraining multiple channels 4.5.1 assl and adsl : bounds and SM update
13 14 14 16 16 19 21 23 24 25 28 34 35 36 36 40 41 42
5 Global χ2 -fit results 5.1 χ2 -fit for the b → u¯ ud channel and bounds on ∆Γd 5.2 χ2 -fit for the b → c¯ ud channel and bounds on ∆Γd 5.3 χ2 -fit for the b → c¯ cd channel and bounds on ∆Γd 5.4 Universal fit on ∆C1 (MW ) and ∆C2 (MW ) 5.5 NP in no
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