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New Physics Contribution to $B_s \to \mu^+ \mu^-$ within R-Parity Violating Supersymmetric Models
High Energy Physics - Phenomenology · Submitted 3 May 2013
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We argue that despite the LHCb measurement of the $B(B_s \to \mu^+ \mu^-)$ is in a remarkable agreement with the Standard Model (SM) prediction, there is still room for a significant New Physics contribution to the $B(B_s \to \mu^+ \mu^-)$, as the sign of the $B_s \to \mu^+ \mu^-$ transition amplitude may be opposite to that of the Standard Model; alternatively the amplitude may have a large phase.
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The abstract, sentence by sentence
We re-visit the problem of New Physics (NP) contribution to the branching ratio of the $B_s \to \mu^+ \mu^-$ decay in light of the recent observation of this decay by LHCb. We consider R-parity violating (RPV) supersymmetric models as a primary example - recently one has reported stringent constraints on the products of the RPV coupling constants that account for the $B_s \to \mu^+ \mu^-$ transition at the tree level. We argue that despite the LHCb measurement of the $B(B_s \to \mu^+ \mu^-)$ is in a remarkable agreement with the Standard Model (SM) prediction, there is still room for a significant New Physics contribution to the $B(B_s \to \mu^+ \mu^-)$, as the sign of the $B_s \to \mu^+ \mu^-$ transition amplitude may be opposite to that of the Standard Model; alternatively the amplitude may have a large phase. We conduct our analysis mainly for the case of real RPV couplings. We find that taking into account the scenario with the sign flip of the $B_s \to \mu^+ \mu^-$ amplitude (as compared to that of the SM) makes the bounds on the RPV coupling products significantly weaker. Also, we discuss briefly how our results are modified if the RPV couplings have large phases. In particular, we examine the dependence of the derived bounds on the phase of the NP amplitude.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We re-visit the problem of New Physics (NP) contribution to the branching ratio of the $B_s \to \mu^+ \mu^-$ decay in light of the recent observation of this decay by LHCb. | background 0.62 | 0.49 | 0.04 | asserted 0.74 |
| s1 | We consider R-parity violating (RPV) supersymmetric models as a primary example - recently one has reported stringent constraints on the products of the RPV coupling constants that account for the $B_s \to \mu^+ \mu^-$ transition at the tree level. | background 0.83 | 0.12 | 0.04 | asserted 0.98 |
| s2 | We argue that despite the LHCb measurement of the $B(B_s \to \mu^+ \mu^-)$ is in a remarkable agreement with the Standard Model (SM) prediction, there is still room for a significant New Physics contribution to the $B(B_s \to \mu^+ \mu^-)$, as the sign of the $B_s \to \mu^+ \mu^-$ transition amplitude may be opposite to that of the Standard Model; alternatively the amplitude may have a large phase. | interpretation 0.40 | 0.24 | 0.72 | hedged possibility 0.78 |
| s3 | We conduct our analysis mainly for the case of real RPV couplings. | method 0.76 | 0.73 | 0.02 | asserted 0.97 |
| s4 | We find that taking into account the scenario with the sign flip of the $B_s \to \mu^+ \mu^-$ amplitude (as compared to that of the SM) makes the bounds on the RPV coupling products significantly weaker. | result 1.00 | 0.95 | 0.66 | asserted 1.00 |
| s5 | Also, we discuss briefly how our results are modified if the RPV couplings have large phases. | contribution 0.79 | 0.78 | 0.04 | asserted 0.58 |
| s6 | In particular, we examine the dependence of the derived bounds on the phase of the NP amplitude. | contribution 0.63 | 0.84 | 0.04 | unclear 0.51 |
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The paper
Original abstract
We re-visit the problem of New Physics (NP) contribution to the branching ratio of the $B_s \to \mu^+ \mu^-$ decay in light of the recent observation of this decay by LHCb. We consider R-parity violating (RPV) supersymmetric models as a primary example - recently one has reported stringent constraints on the products of the RPV coupling constants that account for the $B_s \to \mu^+ \mu^-$ transition at the tree level. We argue that despite the LHCb measurement of the $B(B_s \to \mu^+ \mu^-)$ is in a remarkable agreement with the Standard Model (SM) prediction, there is still room for a significant New Physics contribution to the $B(B_s \to \mu^+ \mu^-)$, as the sign of the $B_s \to \mu^+ \mu^-$ transition amplitude may be opposite to that of the Standard Model; alternatively the amplitude may have a large phase. We conduct our analysis mainly for the case of real RPV couplings. We find that taking into account the scenario with the sign flip of the $B_s \to \mu^+ \mu^-$ amplitude (as compared to that of the SM) makes the bounds on the RPV coupling products significantly weaker. Also, we discuss briefly how our results are modified if the RPV couplings have large phases. In particular, we examine the dependence of the derived bounds on the phase of the NP amplitude.
Human review
References
How the literature uses it
4 arXiv papers cite this in 5 sentences
Papers citing it · 1 sentence without a confident label
Cites it as background 4 papers
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This process has been very well studied in the literature and in recent times also it has attracted a lot of attention [ref] .
Effect of scalar leptoquarks on the rare decays of B_s meson · $B_s →μ^+ μ^-$ decay process · 0.93
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These processes have been very well studied in the literature and in recent times also they have attracted a lot of attention [ref] .
Scalar leptoquarks and the rare B meson decays · $B_s,d →μ^+ μ^-$ decay process · 0.93
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The impact of complex $R$pV couplings on tree level decays is discussed in Ref. [ref] .
$B_{s,d}^0 \to \mu\bar{\mu}$ and $B\to X_s\gamma$ in the R-parity violating MSSM · Numerical Setup · 0.92
What it cites · 23 sentences without a confident label
Uses the method or tool of 1 paper
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[ref] and assume λ^'_i23 = λ^'_i32 in our further calculations.
Relating B_s Mixing and B_s -> mu+mu- with New Physics · Introduction · 0.86
Uses data or values from 11 papers
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A more conservative approach would imply using the 95% C.L. interval, $B() = [1.1 ÷6.4] ×10^-9$ [ref] .
First evidence for the decay Bs -> mu+ mu- · Introduction · 0.99
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We use during the numerical analysis $τ_B_s = 1.509$ ps, [ref] , $f_B_s = 0.225$ GeV [ref] , $V^⋆_tb V_ts = 0.0405$ [ref] (as mentioned above, we neglect the small phase of this CKM product), $M_W = 80.4$ GeV, $sin^2θ_W = 0.231$, $G_F = 1.166 ×10^-5 GeV^-2$, $α= α(M_Z) = 1/128$, $m_μ= 0.106$ GeV, $M_B_s = 5.3667$ GeV, $m_b = m_b(m_b) = 4.18$ GeV [ref] .
B-meson decay constants from improved lattice NRQCD and physical u, d, s and c sea quarks · Introduction · 1.00
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We use during the numerical analysis $τ_B_s = 1.509$ ps, [ref] , $f_B_s = 0.225$ GeV [ref] , $V^⋆_tb V_ts = 0.0405$ [ref] (as mentioned above, we neglect the small phase of this CKM product), $M_W = 80.4$ GeV, $sin^2θ_W = 0.231$, $G_F = 1.166 ×10^-5 GeV^-2$, $α= α(M_Z) = 1/128$, $m_μ= 0.106$ GeV, $M_B_s = 5.3667$ GeV, $m_b = m_b(m_b) = 4.18$ GeV [ref] .
Averages of b-hadron, c-hadron, and tau-lepton properties as of early 2012 · Introduction · 1.00
Cites as support 5 papers
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In particular, it has been argued in [ref] that the LHCb result still leaves room for a non-negligible NP contribution, due to the uncertainty in the experimental value of the $B()$.
Constraints on Unparticles from $B_s\to\mu^+\mu^-$ · Introduction · 0.98
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In particular, it has been argued in [ref] that the LHCb result still leaves room for a non-negligible NP contribution, due to the uncertainty in the experimental value of the $B()$.
BR(Bs to mu+ mu-) as an electroweak precision test · Introduction · 0.98
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In particular, it has been argued in [ref] that the LHCb result still leaves room for a non-negligible NP contribution, due to the uncertainty in the experimental value of the $B()$.
Supersymmetry confronts Bs -> mu+mu-: Present and future status · Introduction · 0.98
Cites as background 1 paper
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This is a manifestation of the so-called flavor problem [ref] : to assure that tree level flavor changing neutral currents beyond the SM do not conflict with the experimental data, either the relevant couplings should be unnaturally small or the New Physics mass scale should be enormously large.
Probing new physics with flavor physics (and probing flavor physics with new physics) · Introduction · 0.81
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