Abstract
In the relatively recent CMS data, there is a hint on the existence of a resonance with the mass 28 GeV coupling to muons. Such a resonance should also couple to photons through the fermion loop, therefore it can be searched for in ultraperipheral collisions (UPC) of protons. We set an upper bound on the $X \gamma \gamma$ coupling constant from the data on $\mu^+ \mu^-$ pair production in UPC at the LHC. Our approach can be used for similar resonances should they appear in the future.
Highlights
LHC designed as a proton-proton collider can be considered as a photon-photon collider in which photons are produced in ultraperipheral collisions of protons
According to the equivalent photons approximation the cross section of μþμ− pair production in ultraperipheral collisions is given by σðppðγγÞ → ppμþμ−Þ
From the third line of the second and the fifth columns of the Table I, we see that the contribution of the resonance X into the fiducial cross section of muon pair production is bounded in the following way3: σfidðXÞ ≲ 0.10 pb at 99.5% confidence level: ð31Þ
Summary
LHC designed as a proton-proton collider can be considered as a photon-photon collider in which photons are produced in ultraperipheral collisions of protons. We are interested in the interval 22 GeV < mμþμ− < 30 GeV, for which, according to Table 3 of [15], dσexp 1⁄4 ð0.076 Æ 0.005Þ pb ; dmμþμ− This cross section measurement corresponds to the fwidhuecreialpμTregisionthepμTco>mppoTn1⁄4ent. According to the equivalent photons approximation the cross section of μþμ− pair production in ultraperipheral collisions is given by σðppðγγÞ → ppμþμ−Þ. ; ð6Þ where α is the fine structure constant, γ 1⁄4 6.93 × 103 is the Lorentz factor of the proton with the energy 6.5 TeV, and qis the maximal photon momentum at which the proton does not disintegrate In this approximation, the integrals in Eq (5) are divergent, and the integration domain is cut off explicitly with qγ, σLL ðppðγγÞ Z. For the cross section of the γγ → X → μþμ− reaction, we obtain jAj2
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