Recent progress in decays of $b$ and $c$ hadrons

Abstract

In the last ten years there has been great progress in calculations of decays of $B$ and $D$ mesons, and baryons containing a heavy $b$ or $c$ quark. One propelling factor has been the measurement of several anomalies in $b\to s$ and $b\to c$ transitions, these are one of the only signs of physics beyond the Standard Model. The deviations included measurements of branching ratios, angular observables and lepton universality ratios. Another factor is the exclusive-inclusive discrepancy in the determination of the CKM elements $V_{ub}$ and $V_{cb}$. We will first review recent calculations involving $b\to s$ and $c\to u$ transitions that could shed light on the neutral current anomalies. We will then summarise the progress the determination of the CKM elements, $V_{ub}$ and $V_{cb}$. Finally we will discuss the current theoretical status and experimental prospects for the lepton universality ratios in $b\to s$ and $b\to c$ semileptonic decays.

49 pages, 3 figures

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• Form Factors and Strong Couplings of Heavy Baryons from QCD Light-Cone Sum Rules
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• ${\Lambda }_b\to \Lambda {\ell }^{+}{\ell }^{-}$ form factors, differential branching fraction, and angular observables from lattice QCD with relativistic $b$ quarks
• Inclusive semileptonic B decays and the determination of |V_ub|
• Predictions for Lepton Flavor Universality Violation in Rare B Decays in Models with Gauged $L_{\mu }-L_{\tau }$
• Towards B -> X_s gamma at the NNLO in QCD without interpolation in m_c
• Test of lepton flavor universality and search for lepton flavor violation in $B\to K\ell \ell$ decays
• Taming the higher power corrections in semileptonic B decays
• Leptonic decay constants fK, fD and fDs with Nf = 2+1+1 twisted-mass lattice QCD
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• Update on the b->s anomalies
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• Inclusive semileptonic fits, heavy quark masses, and V_cb
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• $b\to s\ell \ell$ Global Fits after $R_{K_S}$ and $R_{K^{\ast +}}$
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• Search for the decays $B_s^0\to {\tau }^{+}{\tau }^{-}$ and $B^0\to {\tau }^{+}{\tau }^{-}$
• $B_s\to D_s\ell \nu$ Form Factors for the full $q^2$ range from Lattice QCD with non-perturbatively normalized currents
• Higher Order Power Corrections in Inclusive B Decays
• Measuring the Photon Helicity in Radiative B Decays
• Radiative leptonic decay $B\to \gamma \ell {\nu }_{\ell }$ with subleading power corrections
• ${\Lambda }_c\to \Lambda {\ell }^{+}{\nu }_{\ell }$ form factors and decay rates from lattice QCD with physical quark masses
• Semileptonic form factors for $B\to D^{\ast }\ell \nu$ at nonzero recoil from 2 + 1-flavor lattice QCD
• ${\Lambda }_c\to N$ form factors from lattice QCD and phenomenology of ${\Lambda }_c\to n{\ell }^{+}{\nu }_{\ell }$ and ${\Lambda }_c\to p{\mu }^{+}{\mu }^{-}$ decays
• Probing for New Physics in Polarized ${\Lambda }_b$ decays at the Z
• Subleading-power corrections to the radiative leptonic $B\to \gamma \ell \nu$ decay in QCD
• Isospin asymmetries in $B\to (K^{\ast },\rho )\gamma /l^{+}{l}^{-}$ and $B\to K{l}^{+}{l}^{-}$ in and beyond the Standard Model
• Soft contribution to $B\to \gamma \ell {\nu }_{\ell }$ and the $B$-meson distribution amplitude
• Inclusive semi-leptonic decays from lattice QCD
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• First measurement of the differential branching fraction and $CP$ asymmetry of the $B^{\pm }\to {\pi }^{\pm }{\mu }^{+}{\mu }^{-}$ decay
• Challenges in Semileptonic B Decays
• Hadronic and New Physics Contributions to $b\to s$ Transitions
• Heavy-to-light baryonic form factors at large recoil
• Factorization and dispersion relations for radiative leptonic $B$ decay
• Inclusive Semi-leptonic B Decays to order 1/m_b^4
• Measurement of the phase difference between short- and long-distance amplitudes in the $B^{+}\to K^{+}{\mu }^{+}{\mu }^{-}$ decay
• Third order corrections to the semi-leptonic \boldmath{$b\to c$} and the muon decays
• Test of lepton universality with ${\Lambda }_b^0\to p{K}^{-}{\ell }^{+}{\ell }^{-}$ decays
• Photon polarization in radiative B decays
• On the photon energy moments and their `bias' corrections in B -> X_s+γ
• Disentangling the Decay Observables in $B^{-}\to {\pi }^{+}{\pi }^{-}{\ell }^{-}{\bar{\nu }}_{\ell }$
• Standard Model prediction and new physics tests for D0 -> h+h-l+l- (h=π,K; l=e,μ)
• Search for $B^{+}\to K^{+}\nu \bar{\nu }$ decays using an inclusive tagging method at Belle II
• Exclusive Chromomagnetism in heavy-to-light FCNCs
• Observation of photon polarization in the $b\to s\gamma$ transition
• $B\to \pi \pi$ Form Factors from Light-Cone Sum Rules with $B$-meson Distribution Amplitudes
• Interplay of dineutrino modes with semileptonic rare $\mathbf{B}$-decays
• $B\to \pi \ell \ell$ form factors for new-physics searches from lattice QCD
• Precision measurements of $B(D^{+}\to {\mu }^{+}{\nu }_{\mu })$, the pseudoscalar decay constant $f_{D^{+}}$, and the quark mixing matrix element $|V_{\mathrm{cd}}|$
• Extrapolation and unitarity bounds for the $B\to \pi$ form factor
• Search for the rare decay $D^0\to {\mu }^{+}{\mu }^{-}$
• Inclusive Measure of |V_ub| with the Analytic Coupling Model
• Perturbative corrections to power suppressed effects in semileptonic B decays
• Light-Cone Sum Rules for $B\to K\pi$ Form Factors and Applications to Rare Decays
• Search for the Rare Decay B->K nu nubar
• Angular analysis of charged and neutral $B\to K{\mu }^{+}{\mu }^{-}$ decays
• Kinetic corrections to B -> X_c l nu at one loop
• $B_c\to J/\psi$ Form Factors for the full $q^2$ range from Lattice QCD
• $B_s\to K\ell \nu$ decay from lattice QCD
• On the new LHCb angular analysis of $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$: Hadronic effects or New Physics?
• Extraction of form Factors from a Four-Dimensional Angular Analysis of $\overline{B}\to D^{\ast }{\ell }^{-}{\overline{\nu }}_{\ell }$
• Measuring the Breaking of Lepton Flavour Universality in $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$
• Rare radiative charm decays within the standard model and beyond
• Azimuthal Angle Distribution in $B\to K^{\ast }(\to K\pi ){\ell }^{+}{\ell }^{-}$ at low invariant $m_{{\ell }^{+}{\ell }^{-}}$ Region
• Form factors in $B\to \pi \pi \ell {\bar{\nu }}_{\ell }$ from QCD light-cone sum rules
• The $\bar{B}\to \pi$ form factors from QCD and their impact on $|V_{ub}|$
• Kinetic operator effects in B-> X_c l nu at O(alpha_s)
• Impact of $B\to K\nu \bar{\nu }$ measurements on beyond the Standard Model theories
• Extraction of $|V_{cd}|$ and $|V_{cs}|$ from experimental decay rates using lattice QCD $D\to \pi (K)\ell \nu$ form factors
• $V_{cb}$ determination from inclusive $b\to c$ decays: an alternative method
• First observation of the decay $B_s^0\to K^{-}{\mu }^{+}{\nu }_{\mu }$ and a measurement of $|V_{ub}|/|V_{cb}|$
• On CP Asymmetries in Two-, Three- and Four-Body D Decays
• Form factors of $B\to \pi \ell \nu$ and a determination of $|V_{ub}|$ with Möbius domain-wall-fermions
• Measurement of $CP$ asymmetries in the decays $B^0\to K^{\ast 0}{\mu }^{+}{\mu }^{-}$ and $B^{+}\to K^{+}{\mu }^{+}{\mu }^{-}$
• Inclusive weak decays of heavy hadrons with power suppressed terms at NLO
• Observation of the leptonic decay $D^{+}\to {\tau }^{+}{\nu }_{\tau }$
• Observation of $D^0\to {\rho }^0\gamma$ and search for $CP$ violation in radiative charm decays
• Implications of $b\to s\mu \mu$ Anomalies for Future Measurements of $B\to K^{(\ast )}\nu \bar{\nu }$ and $K\to \pi \nu \bar{\nu }$
• Inclusive semileptonic B decays from QCD with NLO accuracy for power suppressed terms
• CP violation in the B system
• Angular analysis of the decay B${}^{+}$ $\to$ K${}^{+}{\mu }^{+}{\mu }^{-}$ in proton-proton collisions at $\sqrt{s}=$ 8 TeV
• Measurements of Partial Branching Fractions of Inclusive $B\to X_u{\ell }^{+}{\nu }_{\ell }$ Decays with Hadronic Tagging
• Search for the rare decay of $B^{+}\to {\ell }^{+}{\nu }_{\ell }\gamma$ with improved hadronic tagging
• Determining the photon polarization of the b --> s gamma using the B --> K1(1270) gamma --> (K pi pi) gamma decay
• On the nonperturbative charm effects in inclusive B -> X_c lνdecays
• Timelike-helicity $B\to \pi \pi$ form factor from light-cone sum rules with dipion distribution amplitudes
• $D\to \rho {\ell }^{+}{\ell }^{-}$ Decays in the QCD Factorization Approach
• ${\Lambda }_b\to {\Lambda }^{\ast }(1520){\ell }^{+}{\ell }^{-}$ form factors from lattice QCD
• Higher-order Wilson coefficients for c $\to$ u transitions in the Standard Model
• QCD corrections to inclusive heavy hadron weak decays at ${\Lambda }_{\mathrm{QCD}}^3/m_Q^3$
• Improved $V_{cs}$ determination using precise lattice QCD form factors for $D\to K\ell \nu$
• $B_s^0\to {\ell }^{+}{\ell }^{-}\gamma$ as a Test of Lepton Flavor Universality
• Observation of the suppressed decay ${\Lambda }_b^0\to p{\pi }^{-}{\mu }^{+}{\mu }^{-}$
• Strong constraints on the $b\to s\gamma$ photon polarisation from $B^0\to K^{\ast 0}{e}^{+}{e}^{-}$ decays
• Photon helicity in Lambda_b --> p K gamma decays
• Measurement of the inclusive electron spectrum from B meson decays and determination of |Vub|
• Search for B+ -> l+ nu gamma decays with hadronic tagging using the full Belle data sample
• QCD factorization of the four-lepton decay $B^{-}\to \ell {\bar{\nu }}_{\ell }{\ell }^{(\prime )}{\bar{\ell }}^{(\prime )}$
• Disentangling QCD and New Physics in $D^{+}\to {\pi }^{+}{\ell }^{+}{\ell }^{-}$
• Study of the rare $B_s^0$ and $B^0$ decays into the ${\pi }^{+}{\pi }^{-}{\mu }^{+}{\mu }^{-}$ final state
• On HQET and NRQCD Operators of Dimension 8 and Above
• $B\to \rho l\bar{\nu }$ and $\omega l\bar{\nu }$ in and beyond the Standard Model: Improved predictions and $|V_{ub}|$
• Decays of charged $B$-mesons into three charged leptons and a neutrino
• Precision Global Determination of the $B\to X_s\gamma$ Decay Rate
• NNLO QCD counterterm contributions to $B$ \to $X_s\gamma$ for the physical value of $m_c$
• Model-independent search for the decay B -> l nu gamma
• Pair production of dark particles in meson decays
• Constraining new physics with B to K* mu+ mu- in the early LHC era
• Measurement of the absolute branching fractions for purely leptonic $D_s^{+}$ decays
• NNVub: a Neural Network Approach to $B\to X_u\ell \nu$
• Differential branching fraction and angular moments analysis of the decay $B^0\to K^{+}{\pi }^{-}{\mu }^{+}{\mu }^{-}$ in the $K_{0,2}^{\ast }(1430{)}^0$ region
• Form factor ratios for $B_s\to K\ell \nu$ and $B_s\to D_s\ell \nu$ semileptonic decays and $|V_{ub}/V_{cb}|$
• Zero-Recoil Sum Rules for ${\Lambda }_b\to {\Lambda }_c$ Form Factors
• Time-dependent analysis of $B^0\to K_S^0{\pi }^{-}{\pi }^{+}\gamma$ decays and studies of the $K^{+}{\pi }^{-}{\pi }^{+}$ system in $B^{+}\to K^{+}{\pi }^{-}{\pi }^{+}\gamma$ decays
• Searching for New Physics with $\overline{\mathcal{B}}(B_{s,d}\to \mu \bar{\mu })/\Delta M_{s,d}$
• Four-body contributions to B -> Xs gamma at NLO
• Measurement of the Branching Fraction of the Decay ${\mathbf{B}}^{+}\to {\mathbf{\pi }}^{+}{\mathbf{\pi }}^{-}{\mathbf{\ell }}^{+}{\mathbf{\nu }}_{\mathbf{\ell }}$ in Fully Reconstructed Events at Belle
• $B\to D_1(2420)$ and $B\to D_1^{\prime }(2430)$ form factors from QCD light-cone sum rules
• Revisiting $B\to \pi \pi \ell \nu$ at Large Dipion Masses
• Perturbative corrections to power suppressed effects in $\bar{B}\to X_u\ell \nu$
• Angular analysis of B -> J/psi K1 : towards a model independent determination of the photon polarization with B-> K1 gamma
• Measurement of Differential Branching Fractions of Inclusive $B\to X_u{\ell }^{+}{\nu }_{\ell }$ Decays
• Determination of $|V_{cb}|$ using N${}^3$LO perturbative corrections to $\Gamma (B\to X_c\ell \nu )$ and 1S masses