Rare $B$ Decays as Tests of the Standard Model

Abstract

One of the most interesting puzzles in particle physics today is that new physics is expected at the TeV energy scale to solve the hierarchy problem, and stabilise the Higgs mass, but so far no unambiguous signal of new physics has been found. Strong constraints on the energy scale of new physics can be derived from precision tests of the electroweak theory and from flavour-changing or CP-violating processes in strange, charm and beauty hadron decays. Decays that proceed via flavour-changing-neutral-current processes are forbidden at the lowest perturbative order in the Standard Model and are, therefore, rare. Rare $b$ hadron decays are playing a central role in the understanding of the underlying patterns of Standard Model physics and in setting up new directions in model building for new physics contributions. In this article the status and prospects of this field are reviewed.

59 pages, 16 figures. Invited review for "Progress in Particle and Nuclear Physics". v2: matches published version

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• $R_{K^{(\ast )}}^{\nu }$ and non-standard neutrino interactions
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• Revisiting $B\to K^{\ast }(\to K\pi )\nu \bar{\nu }$ decays
• Explaining anomalies of $B$-physics, muon $g-2$ and $W$ mass in $R$-parity violating MSSM with seesaw mechanism
• Footprints of New Physics in the angular distribution of $B_c\to D_s^{\ast }(\to D_s\gamma ,(D_s\pi )){\ell }^{+}{\ell }^{-}$ decays
• Flavor physics in SU(5) GUT with scalar fields in the 45 representation
• The ${\Lambda }_b\to \Lambda (\to p{\pi }^{-}){\mu }^{+}{\mu }^{-}$ decay in the aligned two-Higgs-doublet model
• Non-perturbative renormalization of tensor currents: strategy and results for $N_f=0$ and $N_f=2$ QCD
• Search for a new $Z^{\prime }$ gauge boson via the $pp\to W^{\pm (\ast )}\to Z^{\prime }{\mu }^{\pm }\nu \to {\mu }^{\pm }{\mu }^{\mp }{\mu }^{\pm }\nu$ process in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Signatures of a Flavor Changing $Z^{\prime }$ Boson in $B_q\to \gamma Z^{\prime }$
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• Three Lectures of Flavor and CP violation within and Beyond the Standard Model
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• Experimental summary of the $52^{\mathrm{nd}}$ Rencontres de Moriond session on Electroweak Interactions and Unified Theories
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• Recent progress in decays of $b$ and $c$ hadrons
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• The Minimal Supersymmetric Standard Model with Non-Invertible Selection Rules
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