Analytic two-loop virtual corrections to $b-->d{l}^{+}{l}^{-}$

Abstract

We compute the two-loop virtual corrections to the flavour changing neutral current process $b-->d{l}^{+}{l}^{-}$. As calculation techniques integration by parts identities and the method of differential equations are used. The result is presented in closed form as a function of $q^2/m_b^2$, where $q^2$ is the invariant mass of the lepton pair and $m_b$ is the b-quark mass.

19 pages, 3 figures. Minor modifications, references added

References in corpus (8)

• Anomalous Dimension Matrix for Radiative and Rare Semileptonic B Decays up to Three Loops
• Measurement of the B -> Xs l+ l- branching fraction with a sum over exclusive modes
• The rare decay B --> X_s l^+ l^- to NNLL precision for arbitrary dilepton invariant mass
• Forward--Backward Asymmetry in B -> X_s l^+ l^- at the NNLL Level
• NNLL corrections to the angular distribution and to the forward-backward asymmetries in b -> X_s l+ l-
• Measurement of the Electroweak Penguin Process B --> X(s) l+ l-
• Virtual- and bremsstrahlung corrections to b -> d l+ l- in the standard model
• Radiative and Electroweak Rare B Decays

Cited by in corpus (32)

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• Exclusive radiative and electroweak b->d and b->s penguin decays at NLO
• Feynman Diagrams and Differential Equations
• Theory of B -> K(*)l+l- decays at high q^2: OPE and quark-hadron duality
• The Benefits of B ---> K* l+ l- Decays at Low Recoil
• More Benefits of Semileptonic Rare B Decays at Low Recoil: CP Violation
• Patterns of Flavour Violation in Models with Vector-Like Quarks
• Precise Calculation of the Dilepton Invariant-Mass Spectrum and the Decay Rate in $B^{\pm }\to {\pi }^{\pm }{\mu }^{+}{\mu }^{-}$ in the SM
• Model-independent constraints on new physics in b --> s transitions
• Phenomenology of semileptonic B-meson decays with form factors from lattice QCD
• Radiative and Electroweak Penguin Decays of B Mesons
• Standard Model predictions for $B\to K{\ell }^{+}{\ell }^{-}$, $B\to K{\ell }_1^{-}{\ell }_2^{+}$ and $B\to K\nu \bar{\nu }$ using form factors from $N_f=2+1+1$ lattice QCD
• $B\to \pi \ell \ell$ form factors for new-physics searches from lattice QCD
• Hadronic effects and observables in $B\to \pi {\ell }^{+}{\ell }^{-}$ decay at large recoil
• Weak decays of unstable $b$-mesons
• Lepton polarization asymmetries in rare semi-tauonic $b\to s$ exclusive decays at FCC-$ee$
• The Minimal Flavour Violation benchmark in view of the latest LHCb data
• $D\to \rho {\ell }^{+}{\ell }^{-}$ Decays in the QCD Factorization Approach
• On the angular distribution of ${\Lambda }_b\to \Lambda (\to N\pi ){\tau }^{+}{\tau }^{-}$ decay
• Higher order QCD corrections in exclusive charmless B decays
• Two loop virtual corrections to $b\to (d,s){\ell }^{+}{\ell }^{-}$ and $c\to u{\ell }^{+}{\ell }^{-}$ for arbitrary momentum transfer
• Exact NLO Matching and Analyticity in $b\to s\ell \ell$
• Long distance effects in inclusive rare $B$ decays and phenomenology of $\bar{B}\to X_d{\ell }^{+}{\ell }^{-}$
• The ${\Lambda }_b\to {\Lambda }^{\ast }(1520)(\to N\bar{K}){\ell }^{+}{\ell }^{-}$ decay at low-recoil in HQET
• Wave Functions and Leptonic Decays of Bottom Mesons In the Relativistic Potential Model
• Zooming in on $B\to K^{\ast }\ell \ell$ decays at low recoil
• $\mathcal{O}(\alpha {\alpha }_s)$ corrections to the $\gamma t\bar{t}$ vertex at the top quark threshold
• Implication of family non-universal $Z^{\prime }$ model to rare exclusive $b\to s(l\bar{l},\nu \bar{\nu })$ transitions
• Five-particle contributions to the inclusive rare $\bar{B}\to X_{s(d)}{\ell }^{+}{\ell }^{-}$ decays
• On the effective lifetime of $B_s\to \mu \mu \gamma$
• Threshold corrections to the gamma t anti-t vertex at O(alpha alpha(s))
• Searches for $B^0\to K^{+}{\pi }^{-}{\tau }^{+}{\tau }^{-}$ and $B_s^0\to K^{+}{K}^{-}{\tau }^{+}{\tau }^{-}$ decays