The littlest Higgs model with T-parity predicts the existence of the neutral, weakly interacting, new gauge boson BH, which can be seen as an attractive dark matter candidate. We study production of the new gauge boson BH via ey and ep collisions. We find that BH can be abundantly produced via the subprocesses e^-T→ L^-BH and γq→BHQ, which might give rise to characteristic signals. Some discussions about the SM backgrounds for this kind of signals are also given.
In the framework of the topcolor-assisted technicolor （TC2） model, we study the production of the neutral top-pion πt^0 in association with a high-pw jet at the LHC, which proceeds via the partonic processes gg→πt^0g, gq →πt^0q, qq→πt^0g, gb（b）→πt^0b（b）, and bb→πt^0g. We find that it is very challenging to detect the neutral top-pion πt^0 via the process pp → πt^0 ＋jet ＋ X＋ tt＋jet ＋X, while the possible signatures of πt^0 might be detected via the process pp→πt^0 ＋jet ＋ X→（tc＋tc）＋jet＋X at the LHC.
Based on calculating the contributions of the littlest Higgs model with T-parity （called LHT model） to the anomalous top coupling tqγ （q = u or c）, we consider single top production via the t-channel partonic process eq→et in ep collisions. Our numerical results show that the production cross section in the LHT model can be significantly enhanced relative to that in the standard model （SM）.
