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Searching for the odderon in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi><mml:mi>p</mml:mi><mml:mo stretchy="false">→</mml:mo><mml:mi>p</mml:mi><mml:mi>p</mml:mi><mml:msup><mml:mi>K</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>K</mml:mi><mml:mo>−</mml:mo></mml:msup></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi><mml:mi>p</mml:mi><mml:mo stretchy="false">→</mml:mo><mml:mi>p</mml…
We explore the possibility of observing odderon exchange in the $pp\ensuremath{\rightarrow}pp{K}^{+}{K}^{\ensuremath{-}}$ and $pp\ensuremath{\rightarrow}pp{\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}}$ reactions at the LHC. We consider the central exclusive production (CEP) of the $\ensuremath{\phi}(1020)$ resonance decaying into ${K}^{+}{K}^{\ensuremath{-}}$ and ${\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}}$. We compare the purely diffractive contribution (odderon-Pomeron fusion) to the photoproduction contribution (photon-Pomeron fusion). The theoretical results …