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The littlest Higgs model is the most economical little Higgs model. Theobservation of the new gauge bosons predicted by the littlest Higgs model couldserve as a robust signature of the model. The ILC, with the high energy andluminosity, can open an ideal window to probe these new gauge bosons,specially, the lightest $B_H$. In the framework of the littlest Higgs model, westudy a gauge boson $B_{H}$ production process $\gamma\gamma\to W^{+}W^{-}B_H$.The study shows that the cross section of the process can vary in a widerange($10^{-1}-10^1$ fb) in most parameter spaces preferred by the electroweakprecision data. The high c.m. energy(For example, $\sqrt{s}=1500$ GeV) canobviously enhance the cross section to the level of tens fb. For the favorableparameter spaces, the sufficient typical events could be assumed at the ILC.Therefore, our study about the process $\gamma\gamma\to W^{+}W^{-}B_H$ couldprovide a useful theoretical instruction for probing $B_H$ experimentally atILC. Furthermore, such process would offer a good chance to study the tripleand quartic gauge couplings involving $B_H$ and the SM gauge bosons which shedimportant light on the symmetry breaking features of the littlest Higgs model.Comment: 19 pages, 4 figure

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

New gauge boson<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>B</mml:mi><mml:mi>H</mml:mi></mml:msub></mml:math>production associated with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>W</mml:mi></mml:math>boson pair via<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>γ</mml:mi><mml:mi>γ</mml:mi></mml:math>collision in the littlest Higgs model

New gauge bosonBHproduction associated withWboson pair viaγγcollision in the littlest Higgs model