Relations between $b\to c\tau \nu$ Decay Modes in Scalar Models

Abstract

As a consequence of the Ward identity for hadronic matrix elements, we find relations between the differential decay rates of semileptonic decay modes with the underlying quark-level transition $b\to c\tau \nu$, which are valid in scalar models. The decay-mode dependent scalar form factor is the only necessary theoretical ingredient for the relations. Otherwise, they combine measurable decay rates as a function of the invariant mass-squared of the lepton pair $q^2$ in such a way that a universal decay-mode independent function is found for decays to vector and pseudoscalar mesons, respectively. This can be applied to the decays $B\to D^{\ast }\tau \nu$, $B_s\to D_s^{\ast }\tau \nu$, $B_c\to J/\psi \tau \nu$ and $B\to D\tau \nu$, $B_s\to D_s\tau \nu$, $B_c\to {\eta }_c\tau \nu$, with implications for $R(D^{(\ast )})$, $R(D_s^{(\ast )})$, $R(J/\psi )$, $R({\eta }_c)$, and $\mathcal{B}(B_c\to \tau \nu )$. The slope and curvature of the characteristic $q^2$-dependence is proportional to scalar new physics parameters, facilitating their straight forward extraction, complementary to global fits.

arXiv comment30 pages, 1 figure. Additional references and clarifications. Conclusions unchanged

References in corpus (135)

• Theory and phenomenology of two-Higgs-doublet models
• The CP-conserving two-Higgs-doublet model: the approach to the decoupling limit
• More Model-Independent Analysis of b->s Processes
• One Leptoquark to Rule Them All: A Minimal Explanation for $R_{D^{(\ast )}}$, $R_K$ and $(g-2{)}_{\mu }$
• On the Standard Model predictions for $R_K$ and $R_{K^{\ast }}$
• On the B to D* tau nu Sensitivity to New Physics
• Update of the global electroweak fit and constraints on two-Higgs-doublet models
• Dispersive Bounds on the Shape of B -> D^(*) l nu Form Factors
• Yukawa Alignment in the Two-Higgs-Doublet Model
• Effective field theory approach to $b\to s\ell {\ell }^{(\prime )}$, $B\to K^{(\ast )}\nu \bar{\nu }$ and $B\to D^{(\ast )}\tau \nu$ with third generation couplings
• Angular Distributions of B -> K ll Decays
• Simultaneous Explanation of $R(D^{(\ast )})$ and $b\to s{\mu }^{+}{\mu }^{-}$: The Last Scalar Leptoquarks Standing
• Decays of $B$ Mesons to Two Light Pseudoscalars
• Anomalies in $B$-decays and $U(2)$ flavour symmetry
• Vector leptoquark resolution of $R_K$ and $R_{D^{(\ast )}}$ puzzles
• Testing leptoquark models in $\bar{B}\to D^{(\ast )}\tau \bar{\nu }$
• Weak Radiative Decays of the B Meson and Bounds on $M_{H^{\pm }}$ in the Two-Higgs-Doublet Model
• A three-site gauge model for flavor hierarchies and flavor anomalies
• $R_K$ and future $b\to s\ell \ell$ BSM opportunities
• Implications of lepton flavor universality violations in B decays
• Simultaneous Explanation of the $R_K$ and $R(D^{(\ast )})$ Puzzles
• Combined analysis of semileptonic $B$ decays to $D$ and $D^{\ast }$: $R(D^{(\ast )})$, $|V_{cb}|$, and new physics
• Gauge leptoquark as the origin of B-physics anomalies
• Flavor models for $\bar{B}\to D^{(\ast )}\tau \bar{\nu }$
• Precision Corrections to Dispersive Bounds on Form Factors
• Explaining B->Dτν, B->D*τνand B->τνin a 2HDM of type III
• $B\to Dl\nu$ Form Factors at Non-Zero Recoil and Extraction of $|V_{cb}|$
• A perturbed lepton-specific two-Higgs-doublet model facing experimental hints for physics beyond the Standard Model
• B-decay discrepancies after Moriond 2019
• Revisiting $B\to D\ell \nu$
• New physics in the weak interaction of $\bar{B}\to D^{(\ast )}\tau \bar{\nu }$
• $R(D^{\ast })$, $|V_{cb}|$, and the Heavy Quark Symmetry relations between form factors
• Non-abelian gauge extensions for B-decay anomalies
• Leptoquark model to explain the $B$-physics anomalies, $R_K$ and $R_D$
• ${\Lambda }_b\to p{\ell }^{-}{\bar{\nu }}_{\ell }$ and ${\Lambda }_b\to {\Lambda }_c{\ell }^{-}{\bar{\nu }}_{\ell }$ form factors from lattice QCD with relativistic heavy quarks
• Sensitivity to charged scalars in $B\to D^{(\ast )}\tau {\nu }_{\tau }$ and $B\to \tau {\nu }_{\tau }$ decays
• Electromagnetic Logarithms in B -> X_s l+ l-
• Scalar leptoquarks from GUT to accommodate the $B$-physics anomalies
• Review of Lepton Universality tests in B decays
• $B\to P$ and $B\to V$ Form Factors from $B$-Meson Light-Cone Sum Rules beyond Leading Twist
• B-decay Anomalies in a Composite Leptoquark Model
• Renormalization-group evolution of new physics contributions to (semi)leptonic meson decays
• Scalar contributions to $b\to c(u)\tau \nu$ transitions
• Extraction of $|V_{cb}|$ from $B\to D^{(\ast )}\ell {\nu }_{\ell }$ and the Standard Model predictions of $R(D^{(\ast )})$
• Broken SU(3) Symmetry in Two-Body B Decays
• Status of the Charged Higgs Boson in Two Higgs Doublet Models
• A fresh look at the determination of |V_cb| from B-> D^* l nu
• Simultaneous Explanation of the $R_K$ and $R_{D^{(\ast )}}$ Puzzles: a Model Analysis
• Charged-Higgs phenomenology in the Aligned two-Higgs-doublet model
• $R(D^{(\ast )})$ in a general two Higgs doublet model
• The $V_{cb}$ puzzle: an update
• Reconsidering the One Leptoquark solution: flavor anomalies and neutrino mass
• Phenomenology of an $SU(2)\times SU(2)\times U(1)$ model with lepton-flavour non-universality
• B -> D tau nu Branching Ratios: Opportunity for Lattice QCD and Hadron Colliders
• The Two Higgs Doublet of Type II facing flavour physics data
• Update of $|V_{cb}|$ from the $\bar{B}\to D^{\ast }\ell \bar{\nu }$ form factor at zero recoil with three-flavor lattice QCD
• B-meson decay constants: a more complete picture from full lattice QCD
• New Physics effect on $B_c\to J/\psi \tau \bar{\nu }$ in relation to the $R_{D^{(\ast )}}$ anomaly
• Global fit to $b\to c\tau \nu$ transitions
• Towards B -> X_s gamma at the NNLO in QCD without interpolation in m_c
• Taming the higher power corrections in semileptonic B decays
• Excesses of muon $g-2$, $R_{D^{(\ast )}}$, and $R_K$ in a leptoquark model
• Impact of polarization observables and $B_c\to \tau \nu$ on new physics explanations of the $b\to c\tau \nu$ anomaly
• Diagnosing lepton-nonuniversality in $b\to s\ell \ell$
• On the anomalous enhancement observed in $B\to D^{(\ast )}\tau {\bar{\nu }}_{\tau }$ decays
• Constraint on the branching ratio of B_c \to tau nu from LEP1 and consequences for R(D(*)) anomaly
• The $B_c$ Meson Lifetime
• Prospects for charged Higgs searches at the LHC
• Status of the semileptonic $B$ decays and muon g-2 in general 2HDMs with right-handed neutrinos
• Non-perturbative Heavy Quark Effective Theory
• Phenomenology of ${\Lambda }_b\to {\Lambda }_c\tau {\bar{\nu }}_{\tau }$ using lattice QCD calculations
• Flavor constraints on the Two Higgs Doublet Models of $Z_2$ symmetric and aligned types
• Model-Independent Extraction of $|V_{cb}|$ from $\bar{B}\to D^{\ast }\ell \overline{\nu }$
• Theory determination of $\bar{B}\to D^{(\ast )}{\ell }^{-}\bar{\nu }$ form factors at $\mathcal{O}(1/m_c^2)$
• SU(3) Sum Rules for Charm Decay
• Lepton-flavor universality violation in $R_K$ and $R_{D^{(\ast )}}$ from warped space
• SU(3)-Flavor Anatomy of Non-Leptonic Charm Decays
• New physics solutions for $R_D$ and $R_{D^{\ast }}$
• It's all right(-handed neutrinos): a new $W^{\prime }$ model for the $R_{D^{(\ast )}}$ anomaly
• Heavy-Quark Expansion for ${\bar{B}}_s\to D_s^{(\ast )}$ Form Factors and Unitarity Bounds beyond the $SU(3{)}_F$ Limit
• $B\to D^{(\ast )}$ Form Factors from QCD Light-Cone Sum Rules
• A closer look at the $R_D$ and $R_{D^{\ast }}$ anomalies
• Constraining new physics from Higgs measurements with Lilith: update to LHC Run 2 results
• New Physics in the Visible Final States of $B\to D^{(\ast )}\tau \nu$
• Hints of R-parity violation in B decays into $\tau \nu$
• Revisiting the new-physics interpretation of the $b\to c\tau \nu$ data
• Bayesian fit analysis to full distribution data of $\bar{B}\to D^{(\ast )}\ell \bar{\nu }$: $|V_{cb}|$ determination and New Physics constraints
• The Azimuthal $B\to D^{\ast }{\tau }^{-}\overline{{\nu }_{\tau }}$ Angular Distribution with Tensor Operators
• $D^{\ast }$ polarization vs. $R_{D^{(\ast )}}$ anomalies in the leptoquark models
• Inclusive semi-leptonic decays from lattice QCD
• Consequences of R-Parity violating interactions for anomalies in $\bar{B}\to D^{(\ast )}\tau \bar{\nu }$ and $b\to s{\mu }^{+}{\mu }^{-}$
• Precision predictions for scalar leptoquark pair-production at hadron colliders
• Charged-Higgs on $R_{D^{(\ast )}}$, $\tau$ polarization, and FBA
• Anatomy of $b\to c\tau \nu$ anomalies
• Precise predictions for ${\Lambda }_b\to {\Lambda }_c$ semileptonic decays
• LHC constraints and prospects for $S_1$ scalar leptoquark explaining the $\bar{B}\to D^{(\ast )}\tau \bar{\nu }$ anomaly
• A near-minimal leptoquark model for reconciling flavour anomalies and generating radiative neutrino masses
• New predictions for ${\Lambda }_b\to {\Lambda }_c$ semileptonic decays and tests of heavy quark symmetry
• The decays $B_c\to J/\psi +\bar{\ell }{\nu }_{\ell }$ and $B_c\to J/\psi +\pi (K)$ in covariant confined quark model
• $b\to c\tau {\nu }_{\tau }$ Decays: A Catalogue to Compare, Constrain, and Correlate New Physics Effects
• Two Higgs Doublet Models and $b\to s$ exclusive decays
• B-meson charged current anomalies: the post-Moriond status
• On lepton flavour universality in semileptonic $B_c\to {\eta }_c,J/\psi$ decays
• High scale flavor alignment in two-Higgs doublet models and its phenomenology
• The role of right-handed neutrinos in $b\to c\tau \bar{\nu }$ anomalies
• Sum Rules of Charm CP Asymmetries beyond the SU(3)${}_F$ Limit
• Lattice QCD form factor for $B_s\to D_s^{\ast }l\nu$ at zero recoil with non-perturbative current renormalisation
• Tensions and correlations in $|V_{cb}|$ determinations
• Heavy Higgs boson decays in the alignment limit of the 2HDM
• Tension in the inclusive versus exclusive determinations of $|V_{cb}|$: a possible role of new physics
• Asymmetry Observables and the Origin of $R_{D^{(\ast )}}$ Anomalies
• Test of the $R(D^{(\ast )})$ anomaly at the LHC
• Solutions to $R_D$-$R_{D^{\ast }}$ in light of Belle 2019 data
• U-Spin Sum Rules for CP Asymmetries of Three-Body Charmed Baryon Decays
• $R_K$ and $R_{K^{\ast }}$ in an Aligned 2HDM with Right-Handed Neutrinos
• Model-Independent Bounds on $R(J/\psi )$
• Das ist der HAMMER: Consistent new physics interpretations of semileptonic decays
• Beyond $\mathcal{R}(D^{(\ast )})$ with the general 2HDM-III for $b\to c\tau \nu$
• Lepton flavor universality violation in semileptonic tree level weak transitions
• Angular Analysis of \boldmath ${\Lambda }_b\to {\Lambda }_c(\to \Lambda \pi )\ell \bar{\nu }$
• Model independent investigation of the $R_{J/\psi ,{\eta }_c}$ and ratios of decay widths of semileptonic $B_c$ decays into a P-wave charmonium
• Maximizing the Impact of New Physics in $b\to c\tau \nu$ Anomalies
• Testing Minimal Flavor Violation in Leptoquark Models of the $R_{K^{(\ast )}}$ Anomaly
• ${\rm Y}$ and $\psi$ leptonic decays as probes of solutions to the $R_D^{(\ast )}$ puzzle
• CP Violation in ${\bar{B}}^0\to D^{\ast +}{\mu }^{-}{\bar{\nu }}_{\mu }$
• A Measurable Angular Distribution for $\bar{B}\to D^{\ast }{\tau }^{-}{\bar{\nu }}_{\tau }$ Decays
• N = 5, 6, 7, 8: Nested hypothesis tests and truncation dependence of $|V_{cb}|$
• Model-Independent Determination of $B_c^{+}\to {\eta }_c{\ell }^{+}\nu$ Form Factors
• Testing lepton flavour universality in semileptonic ${\Lambda }_b\to {\Lambda }_c^{\ast }$ decays
• SU(3)${}_F$ Analysis for Beauty Baryon Decays
• Phenomenological discriminations of the Yukawa interactions in two-Higgs doublet models with $Z_2$ symmetry
• Zero-Recoil Sum Rules for ${\Lambda }_b\to {\Lambda }_c$ Form Factors
• Phenomenology of TeV-scale scalar Leptoquarks in the EFT
• Measuring CP violation in $b\to c{\tau }^{-}{\bar{\nu }}_{\tau }$ using excited charm mesons
• Radiative neutrino mass model from a mass dimension-11 $\Delta L=2$ effective operator

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