Anomalies in bottom from new physics in top

Camargo-Molina, José Eliel; Celis, Alejandro; Faroughy, Darius A.

doi:10.1016/j.physletb.2018.07.051

Anomalies in bottom from new physics in top

José Eliel Camargo-Molina (Department of Physics, Imperial College London, South Kensington campus, London, UK) ; Alejandro Celis (Ludwig-Maximilians-Universität München, Fakultät für Physik, Arnold Sommerfeld Center for Theoretical Physics, München, Germany) ; Darius A. Faroughy (J. Stefan Institute, Ljubljana, Slovenia)

We analyze the possibility to accommodate current $b \to s ℓ^{+} ℓ^{-}$ anomalies with TeV-scale mediators that couple to right-handed top quarks and muons, contributing to $b \to s ℓ^{+} ℓ^{-}$ at the one-loop level. We use the Standard Model Effective Field Theory (SMEFT) framework but also look at specific scenarios by taking into account all possible irreducible representations of the Lorentz and Standard Model gauge group for the mediators. From a global fit of $b \to s ℓ^{+} ℓ^{-}$ data and LEP-I observables we find that the Wilson coefficients of two SMEFT operators: $O_{ℓ u} = ({\bar{ℓ}}_{L μ} γ^{α} ℓ_{L μ}) ({\bar{t}}_{R} γ_{α} t_{R})$ and $O_{e u} = ({\bar{μ}}_{R} γ^{α} μ_{R}) ({\bar{t}}_{R} γ_{α} t_{R})$ need to satisfy $C_{e u} \sim C_{ℓ u}$ . New physics enters then in $b \to s ℓ^{+} ℓ^{-}$ mainly through the operator $O_{9} = (\bar{s} γ_{μ} P_{L} b) (\bar{ℓ} γ^{μ} ℓ)$ of the Weak Effective Theory. After discussing all possible mediators, we concentrate on two scenarios: A vector boson in the irreducible representation $Z_{μ}^{'} \sim (1, 1, 0)$ of the Standard Model gauge group with vectorial coupling to muons, and a combination of two leptoquarks: the scalar $R_{2} \sim (3, 2, 7 / 6)$ and the vector ${\tilde{U}}_{1 μ} \sim (3, 1, 5 / 3)$ . We derive LHC constraints by recasting di-muon resonance, $p p \to t \bar{t} t \bar{t}$ and SUSY searches. Additionally, we analyze the prospects for discovering these mediators during the high-luminosity phase of the LHC.

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      "value": "We analyze the possibility to accommodate current <math><mi>b</mi><mo>\u2192</mo><mi>s</mi><msup><mrow><mi>\u2113</mi></mrow><mrow><mo>+</mo></mrow></msup><msup><mrow><mi>\u2113</mi></mrow><mrow><mo>\u2212</mo></mrow></msup></math> anomalies with TeV-scale mediators that couple to right-handed top quarks and muons, contributing to <math><mi>b</mi><mo>\u2192</mo><mi>s</mi><msup><mrow><mi>\u2113</mi></mrow><mrow><mo>+</mo></mrow></msup><msup><mrow><mi>\u2113</mi></mrow><mrow><mo>\u2212</mo></mrow></msup></math> at the one-loop level. We use the Standard Model Effective Field Theory (SMEFT) framework but also look at specific scenarios by taking into account all possible irreducible representations of the Lorentz and Standard Model gauge group for the mediators. From a global fit of <math><mi>b</mi><mo>\u2192</mo><mi>s</mi><msup><mrow><mi>\u2113</mi></mrow><mrow><mo>+</mo></mrow></msup><msup><mrow><mi>\u2113</mi></mrow><mrow><mo>\u2212</mo></mrow></msup></math> data and LEP-I observables we find that the Wilson coefficients of two SMEFT operators: <math><msub><mrow><mi>O</mi></mrow><mrow><mi>\u2113</mi><mi>u</mi></mrow></msub><mo>=</mo><mo>(</mo><msub><mrow><mover><mrow><mi>\u2113</mi></mrow><mrow><mo>\u00af</mo></mrow></mover></mrow><mrow><mi>L</mi><mi>\u03bc</mi></mrow></msub><msup><mrow><mi>\u03b3</mi></mrow><mrow><mi>\u03b1</mi></mrow></msup><msub><mrow><mi>\u2113</mi></mrow><mrow><mi>L</mi><mi>\u03bc</mi></mrow></msub><mo>)</mo><mo>(</mo><msub><mrow><mover><mrow><mi>t</mi></mrow><mrow><mo>\u00af</mo></mrow></mover></mrow><mrow><mi>R</mi></mrow></msub><msub><mrow><mi>\u03b3</mi></mrow><mrow><mi>\u03b1</mi></mrow></msub><msub><mrow><mi>t</mi></mrow><mrow><mi>R</mi></mrow></msub><mo>)</mo></math> and <math><msub><mrow><mi>O</mi></mrow><mrow><mi>e</mi><mi>u</mi></mrow></msub><mo>=</mo><mo>(</mo><msub><mrow><mover><mrow><mi>\u03bc</mi></mrow><mrow><mo>\u00af</mo></mrow></mover></mrow><mrow><mi>R</mi></mrow></msub><msup><mrow><mi>\u03b3</mi></mrow><mrow><mi>\u03b1</mi></mrow></msup><msub><mrow><mi>\u03bc</mi></mrow><mrow><mi>R</mi></mrow></msub><mo>)</mo><mo>(</mo><msub><mrow><mover><mrow><mi>t</mi></mrow><mrow><mo>\u00af</mo></mrow></mover></mrow><mrow><mi>R</mi></mrow></msub><msub><mrow><mi>\u03b3</mi></mrow><mrow><mi>\u03b1</mi></mrow></msub><msub><mrow><mi>t</mi></mrow><mrow><mi>R</mi></mrow></msub><mo>)</mo></math> need to satisfy <math><msub><mrow><mi>C</mi></mrow><mrow><mi>e</mi><mi>u</mi></mrow></msub><mo>\u223c</mo><msub><mrow><mi>C</mi></mrow><mrow><mi>\u2113</mi><mi>u</mi></mrow></msub></math>. New physics enters then in <math><mi>b</mi><mo>\u2192</mo><mi>s</mi><msup><mrow><mi>\u2113</mi></mrow><mrow><mo>+</mo></mrow></msup><msup><mrow><mi>\u2113</mi></mrow><mrow><mo>\u2212</mo></mrow></msup></math> mainly through the operator <math><msub><mrow><mi>O</mi></mrow><mrow><mn>9</mn></mrow></msub><mo>=</mo><mo>(</mo><mover><mrow><mi>s</mi></mrow><mrow><mo>\u00af</mo></mrow></mover><msub><mrow><mi>\u03b3</mi></mrow><mrow><mi>\u03bc</mi></mrow></msub><msub><mrow><mi>P</mi></mrow><mrow><mi>L</mi></mrow></msub><mi>b</mi><mo>)</mo><mo>(</mo><mover><mrow><mi>\u2113</mi></mrow><mrow><mo>\u00af</mo></mrow></mover><msup><mrow><mi>\u03b3</mi></mrow><mrow><mi>\u03bc</mi></mrow></msup><mi>\u2113</mi><mo>)</mo></math> of the Weak Effective Theory. After discussing all possible mediators, we concentrate on two scenarios: A vector boson in the irreducible representation <math><msubsup><mrow><mi>Z</mi></mrow><mrow><mi>\u03bc</mi></mrow><mrow><mo>\u2032</mo></mrow></msubsup><mo>\u223c</mo><mo>(</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>0</mn><mo>)</mo></math> of the Standard Model gauge group with vectorial coupling to muons, and a combination of two leptoquarks: the scalar <math><msub><mrow><mi>R</mi></mrow><mrow><mn>2</mn></mrow></msub><mo>\u223c</mo><mo>(</mo><mn>3</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>7</mn><mo>/</mo><mn>6</mn><mo>)</mo></math> and the vector <math><msub><mrow><mover><mrow><mi>U</mi></mrow><mrow><mo>\u02dc</mo></mrow></mover></mrow><mrow><mn>1</mn><mi>\u03bc</mi></mrow></msub><mo>\u223c</mo><mo>(</mo><mn>3</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>/</mo><mn>3</mn><mo>)</mo></math>. We derive LHC constraints by recasting di-muon resonance, <math><mi>p</mi><mi>p</mi><mo>\u2192</mo><mi>t</mi><mover><mrow><mi>t</mi></mrow><mrow><mo>\u00af</mo></mrow></mover><mi>t</mi><mover><mrow><mi>t</mi></mrow><mrow><mo>\u00af</mo></mrow></mover></math> and SUSY searches. Additionally, we analyze the prospects for discovering these mediators during the high-luminosity phase of the LHC."
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Published on:: 30 July 2018
Publisher:: Elsevier
Published in:: Physics Letters B , Volume 784 C (2018)

Pages 284-293
DOI:: https://doi.org/10.1016/j.physletb.2018.07.051
Copyrights:: No information available
Licence:: CC-BY-3.0

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