Signatures of Extra Gauge Bosons in the Littlest Higgs Model with T-parity at Future Colliders

We study the collider signatures of a T-odd gauge boson $W_{H}$ pair production in the Littlest Higgs Model with T-parity (LHT) at Large Hadron Collider (LHC) and Linear Collider (LC). At the LHC, we search for the $W_{H}$ boson using its leptonic decay, i.e. $pp\to W_{H}^{+}W_{H}^{-}\to A_{H}A_{H}\ell^{+}\nu_{\ell}\ell^{\prime-}\bar{\nu}_{\ell^{\prime}}$, which gives rise to a collider signature of \ell^{+}\ell^{\prime-}+\met. We demonstrate that the LHC not only has a great potential of discovering the $W_{H}$ boson in this channel, but also can probe enormous parameter space of the LHT. Due to four missing particles in the final state, one cannot reconstruct the mass of $W_{H}$ at the LHC. But such a mass measurement can be easily achieved at the LC in the process of $e^{+}e^{-}\to W_{H}^{+}W_{H}^{-}\to A_{H}A_{H}W^{+}W^{-}\to A_{H}A_{H}jjjj$. We present an algorithm of measuring the mass and spin of the $W_{H}$ boson at the LC. Furthermore, we illustrate that the spin correlation between the $W$ boson and its mother particle ($W_{H}$) can be used to distinguish the LHT from other new physics models.Comment: version to appear in PRD (a few references added

Resummation Effects in the Search of SM Higgs Boson at Hadron Colliders

We examine the soft-gluon resummation effects, including the exact spin correlations among the final state particles, in the search of the Standard Model Higgs boson, via the process $gg\to H\to WW/ZZ \to 4 leptons, at the Tevatron and the LHC. A comparison between the resummation and the Next-to-Leading order (NLO) calculation is performed after imposing various kinematics cuts suggested in the literature for the Higgs boson search. For the$H\to ZZ$mode, the resummation effects increase the acceptance of the signal events by about 25various kinematics distributions of the final state leptons. For the$H\to WW$ mode, the acceptance rates of the signal events predicted by the resummation and NLO calculations are almost the same, but some of the predicted kinematical distributions are quite different. Thus, to precisely determine the properties of the Higgs boson at hadron colliders, the soft-gluon resummation effects have to be taken into account.Comment: The version to appear in PR

Problem svojstvenih vrijednosti za višečlani potencijal s inverznim racionalnim potencijama

It is shown that eigenspectra corresponding to various interactions with three- and two-term inverse fractional power are, under certain conditions, analytically tractable either by using the solution of the biconfluent Heun\u27s equation or by using the quasi-exactly solvable sl(2) symmetry approach.Pokazuje se kako se, pod izvjesnim uvjetima, mogu analitički odrediti svojstvene vrijednosti za razna međudjelovanja s tri ili dva člana s inverznim racionalnim potencijama, primjenom bilo rješenja bikonfluentne Heunove jednadžbe, ili poluegzaktno rješivim pristupom sa sl(2) simetrijom

Problem svojstvenih vrijednosti za višečlani potencijal s inverznim racionalnim potencijama

It is shown that eigenspectra corresponding to various interactions with three- and two-term inverse fractional power are, under certain conditions, analytically tractable either by using the solution of the biconfluent Heun\u27s equation or by using the quasi-exactly solvable sl(2) symmetry approach.Pokazuje se kako se, pod izvjesnim uvjetima, mogu analitički odrediti svojstvene vrijednosti za razna međudjelovanja s tri ili dva člana s inverznim racionalnim potencijama, primjenom bilo rješenja bikonfluentne Heunove jednadžbe, ili poluegzaktno rješivim pristupom sa sl(2) simetrijom

Egzaktna rješenja nepolinomnog međudjelovanja

Exact solvability of a non-polynomial interaction is investigated. The relation to the existence of a double-well potential is discussed, with a presentation of a new type of exact solutions.Istražuje se egzaktno rješavanje nepolinomnog međudjelovanja. Raspravlja se problem dvojamnog potencijala i predstavljaju novi tipovi egzaktnih rješenja

Egzaktna rješenja nepolinomnog međudjelovanja

Exact solvability of a non-polynomial interaction is investigated. The relation to the existence of a double-well potential is discussed, with a presentation of a new type of exact solutions.Istražuje se egzaktno rješavanje nepolinomnog međudjelovanja. Raspravlja se problem dvojamnog potencijala i predstavljaju novi tipovi egzaktnih rješenja

Singularni i egzaktno rješivi potencijali

The potentials involving singularities considered in this work result from the construction starting with higher-order-generation superpotentials. The second generation with a single base as well as the third one with a double base will be discussed. According to the choice of these bases, a number of results, which may be interesting from the theoretical point of view, can be observed such as the partial breaking of the symmetry or the construction of a new type of exactly solvable potentials which show existence of eigenstates with positive eigenvalues. Extension to the third generation potential of the theorem on quasi-exact solvability will also be discussed.Potencijali sa singularnostima koji se razmatraju u ovom radu slijede iz postavki za generacije superpotencijala višeg reda. Raspravlja se druga generacija s jednom osnovicom i treća generacija s dvije osnovice. Ovisno o odabiru osnovica, nalazi se niz rezultata koji mogu biti zanimljivi sa stanovišta teorije, kao djelomično kršenje simetrije ili postavka nove vrste egzaktno rješivih potencijala koji pokazuju postojanje svojstvenih stanja s pozitivnim svojstvenim vrijednostima. Raspravlja se također proširenje teorema o kvazi-egzaktnoj rješivosti za potencijale treće generacije

Kvazi-egzaktno rješivi potencijal

It is shown that for any exactly solvable potential considered here, belonging to the class of the first generation, there are always posibilities to construct the class of second generation potentials, which are either exactly solvable or quasi-exactly solvable. The alternatives exactly solvable or quasi-exactly solvable depend on the choice of the "base" related to the set of excited eigenstates corresponding to the first generation potentials.Pokazuje se da za svaki ovdje razmatrani egzaktno-rješivi potencijal, koji pripada razredu prve generacije, uvijek postoji mogućnost složiti razred druge generacije potencijala koji su ili egzaktno rješivi ili kvazi-egzaktno rješivi. Inačice egzaktno rješivi ili kvazi-egzaktno rješivi ovise o izboru “baze” koja se odnosi na skup viših svojstvenih stanja koji je vezan s prvom generacijom potencijala

Singularni i egzaktno rješivi potencijali

The potentials involving singularities considered in this work result from the construction starting with higher-order-generation superpotentials. The second generation with a single base as well as the third one with a double base will be discussed. According to the choice of these bases, a number of results, which may be interesting from the theoretical point of view, can be observed such as the partial breaking of the symmetry or the construction of a new type of exactly solvable potentials which show existence of eigenstates with positive eigenvalues. Extension to the third generation potential of the theorem on quasi-exact solvability will also be discussed.Potencijali sa singularnostima koji se razmatraju u ovom radu slijede iz postavki za generacije superpotencijala višeg reda. Raspravlja se druga generacija s jednom osnovicom i treća generacija s dvije osnovice. Ovisno o odabiru osnovica, nalazi se niz rezultata koji mogu biti zanimljivi sa stanovišta teorije, kao djelomično kršenje simetrije ili postavka nove vrste egzaktno rješivih potencijala koji pokazuju postojanje svojstvenih stanja s pozitivnim svojstvenim vrijednostima. Raspravlja se također proširenje teorema o kvazi-egzaktnoj rješivosti za potencijale treće generacije