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Are Messages of R-parity Violating Supersymmetry Hidden within Top Quark Signals

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Are Messages of R-parity Violating Supersymmetry Hidden

within Top Quark Signals ?Aseshkrishna Datta ?and Biswarup Mukhopadhyaya ?Mehta Research Institute,Chhatnag Road,Jhusi,Allahabad -211019,India (February 1,2008)Abstract In an R-parity nonconserving supersymmetric theory,the lighter stop can dominantly decay into bμand bτif R-parity breaking has to explain the neutrino mass and mixing pattern suggested by the data on atmospheric muon neutrinos.This should give rise to dilepton +dijet and single ?lepton +jets ,signals identical with those of the top quark at the Fermilab Tevatron.One can thus constrain the stop parameter space using the current top search data,and similarly look for the ?rst signals of supersymmetry at the upgraded runs of the Tevatron.

PACS numbers:12.60.Jv,14.65.Ha,14.80.Ly

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It has been repeatedly suggested that in a supersymmetric(SUSY)scenario[1],one of the two spin-zero superpartners of the top quark,popularly known as stop,could be considerably lighter than any other strongly interacting superparticle[2].This happens due to the mixing between the left-and right chiral stops,which can be quite large in principle,reducing the mass of the lighter eigenstate.Also,negative contribution from Yukawa coupling in the evolution equations for scalar mass parameters can cause the stop to be lighter than the other squarks in a framework where all squark?avours have the same mass at a high energy scale.It has been shown that in the minimal supersymmetric standard model(MSSM),a light stop(?t1)will decay dominantly through the channels?t1→cχ01and?t1→bχ+1,whereχ01 andχ+1are the lightest neutralino and the lighter chargino respectively.Out of these,the former reigns supreme[3]if the light stop is even lighter thanχ+1[4].Based on the ensuing signals,experiments at the Fermilab Tevatron have set a lower limit of about120?135GeV on the lighter stop[5]depending on the mass of the lightest neutralino.

The observed signals can be quite di?erent when R-parity,de?ned as(?1)3B+L+2S,is not a conserved quantity,something that is both theoretically and phenomenologically consistent in supersymmetric theories so long as only one of baryon number(B)and lepton number (L)is violated.In such cases,the lightest supersymmetric particle(LSP)can be unstable, thereby altering the signals of SUSY[6,7].If,in addition,the LSP(which is the lightest neutralino in most theories)is massive enough to evade searches at the large electron-positron collider(LEP),then the observation of SUSY at the Fermilab Tevatron may depend squarely on the production and decays of the light stop for whom R-parity violation opens up new and often dominant decay modes.The limits based on?t1→cχ01require re-examination in such a case.

In this letter,we want to point out that the easiest identi?able signatures of a light stop (and therefore perhaps of SUSY itself)in an R-parity nonconserving framework could be in?nal states that have been,and still are,widely studied to look for the top quark at the Tevatron,namely,the dimuon+dijet as well as single muon+jets signals.We further argue that stop decays leading to such?nal states are imperative in R-parity violating scenarios

that lead to neutrino masses and mixing as required by the recent SuperKamiokande(SK) data on atmospheric muon neutrinos.Thus a careful reanalysis of the already existing Tevatron Run I results on top search may allow us to explore a large region of the light stop parameter space of such theories,where the search channel employed for MSSM is not going to be e?ective.In Run II one can have an even wider prospect,not only for constraining the SUSY parameter space but also for the possibility of top signals being actually faked by the stop.In addition,some new signals for such models,very similar to those of the top quark,are suggested here.

Expressed in terms of the quark,lepton and Higgs super?elds,the MSSM superpotential is

W MSSM=μ?H1?H2+h l ij?L i?H1?E c j+h d ij?Q i?H1?D c j+h u ij?Q i?H2?U c j(1)

whereμis the Higgsino mass parameter and the last three terms give all the Yukawa inter-actions.

The possible additions to this superpotential due to R-parity violation(through lepton number violation only)are given by[6]

W L=?i?L i?H2+λijk?L i?L j?E c k+λ′ijk?L i?Q j?D c k(2)

We consider only the e?ects of the trilinear additional terms in the superpotential;we shall point out at the end of the paper that the e?ects we are suggesting can arise also from the bilinear terms?i?L i?H2.

If the SK data[8]on atmospheric muon neutrinos(and also similar data from the Soudan-II[9]and MACRO[10]experiments)have to be explained in terms ofνμ?ντoscillations, then the mass-squared splitting between the second and third lightest physical neutrino states will have to be?m223?5×10?3,in addition to near-maximal mixing between the corresponding?avour eigenstates.R-parity violation in the form of theλ-andλ′-type interactions in equation2can give rise to neutrino mass terms at one-loop level,the generic expression for them(in the?avour basis)being

(m loop

ν)ij?3m2

?q

λ′ikpλ′jpk

+

1

m2?

l

λikpλjpk(3)

where m d(l)denote the down-type quark(charged lepton)masses.m2?

l

,m2?q are the average slepton and squark mass squared.M SUSY(~μ)is the e?ective scale of supersymmetry breaking.The mass and mixing patterns suggested by the observedνμdata can be accom-modated in the above scheme of mass generation if,with M SUSY?m?q?300?500GeV,λ′233?λ′333?a few times10?4[11].An immediate consequence of such couplings is the decay of the lighter stop in the channels?t1→bτ+and?t1→bμ+with comparable widths.

There is a considerably large region of the parameter space,not yet constrained by any experimental data,where the stop is the second lightest supersymmetric particle next to the lightest neutralino.In this region,the three lowest-order decay channels available to the stop are?t1→cχ01,?t1→bτ+and?t1→bμ+[12].The?rst one,a well-studied process,is a consequence of neutral?avour violation in SUSY and is suppressed by the small mismatch between quark and squark mass matrices.The latter ones are driven byλ′233andλ′333,and we?nd that they dominate for a light stop with mass≤150GeV so long asλ′233,λ′333lie in the range speci?ed above,in conformity with the SK data.

We focus our attention on single-muon and dimuon?nal states,together with jets and missing energy,arising from(light)stops pair-produced in p

We present some numerical estimates where the?ve degenerate squark?avours are as-sumed to have masses≈400GeV.The mass of the lighter stop is made to vary beween 80and150GeV,while the SU(2)gaugino mass M2is held?xed at150GeV.Uni?cation of the gaugino masses has been assumed.In addition,tanβ,the ratio of the two Higgs expectation values,has been?xed at3.Although we have not assumed any de?nite high scale SUSY breaking mechanism,it can be veri?ed that such combinations of parameters can indeed be realised in a supergravity(SUSY)framework.This is possible by using one’s freedom[13]with the trilinear soft SUSY breaking term A(while still preserving charge and colour invariance[14])and using the Higgsino parameterμas a phenomenological input[15], something that is just?ed if the Higgs mass parameters retain the freedom of di?ering from the‘universal’sfermion mass parameter(m0)at the grand uni?cation scale.

The above speci?ed set of parameters allows one to calculate the R-conserving stop decay width.For the R-parity violating two-body decays,we have used three sets of values forλ′233=λ′333,consistent with the expectation from the SK https://www.doczj.com/doc/f88759711.html,ing these,it is straightforward to calculate the branching ratios of the various stop decay modes.It is found that for the region of parameter space under investigation here,the branching ratio for R-parity violating decays ranges from75to99per cent,with a near-equal share between the bτand bμchannels.

A parton level Monte Carlo calculation has been performed for both single muon+ three jets+E T and dimuon+two jets+E T?nal states arising from stop pair-production at the Tevatron.In the former case,we have demanded that at least one jet be identi?ed as a b-induced one.Both the top-and stop-production cross-sections have been QCD corrected using a a so-called K-factor of1.4in case of top[16]and1.3[17]for the stop.For hadronic decays of the tau,we have considered only modes with one charged track,arising from τ±→π±ντ,ρ±ντ,a±1ντ.In order to calibrate our parton-level results,we have computed the numbers of the same types of expected signal events from top quark pair production. The numbers of both single-muon and dimuon events thus calculated in the latter case agree, within small errors,with the actual observations[18,19],so that our results may be treated

as reasonable estimates of how many stop-induced events can be contained in the top signal.

Since our main purpose is to see how stop signal can percolate into top signals for which detectors are already designed,both have been subjected to the same set of cuts,as speci?ed by the CDF top search strategy.In both types of?nal states of our interest,jets are de?ned using the cone algorithm as discussed in Ref.[18,19].Jets are counted in the analysis only if|η|jet<2whereηis the pseudorapidity[18,19].For single muon?nal state we require jets with E T>15GeV,at least one of which is identi?ed as a b-jet(with identi?cation e?ciency≈40%[18])while for dimuon?nal state two jets with E T>10GeV are required

[19].Two jets are merged if?R≤0.4,where?R=

stop-pairs.It is clear from?gure2that the dimuon data should de?nitely rule out the entire stop mass interval that is otherwise constrained assuming B(?t1→cχ01)?1.In fact, the limit can perhaps be pushed somewhat higher up in the R-parity violating case.For λ′233?λ′333=10?4,this limit should be around125GeV with the currently available data, while forλ′-values of5×10?4it touches about140GeV.

From the single muon signal too,stop masses upto about120?125GeV seem to be ruled out.We also want to emphasize that both this channel and the dimuon one can be used e?ectively in the context of Run II of the Tevatron to look for SUSY signals burried within the top data.A careful analysis of the dimuon versus dielectron data there,invigorated by the additional available luminosity,may lead to successful identi?cation of an excess in the former,thereby indicating R-parity violation of a kind that simultaneously explains the atmospheric neutrino puzzle.

For simplicity,we have con?ned ourselves in the above discussion to cases where the stop is kinematically forbidden to decay into a b quark and a chargino.Such a decay can be possible when M2and consequently the mass of lightest neutralino is smaller.However,in view of the fact that the chargino can subsequently decay into a lepton,the above mode can in e?ect strengthen the stop contribution.

The values of R-parity violating couplings which are as small as the ones under study here are unlikely to contribute to precision electroweak data[20]or to R-parity violating decays of the top quark[21]such as t?→b?l or t?→?bl even if they are kinematically allowed.However,with couplings several times larger in magnitude(with larger average squark mass,for example),some of these decays could lead to additional signals(?nal states of higher multiplicity)from the decays of the top,particularly at Run II of the Fermilab Tevatron.

Another signal,similar in nature to the ones discussed above,is one where both the stops decay into the bμchannel.In this case one shall see dimuons with two jets.Proper b-identifaction in the jets,together with e?ective measures to eliminate the Drell-Yan back-grounds,can establish such?nal states as rather e?ective ones for discovering a light stop

in an R-parity violating theory.

As has been mentioned at the beginning,the above discussion has assumed only trilinear R-parity violating interactions.The presence of the bilinear terms of the form L i H2in the superpotential(and the consequent vacuum expectation values for sneutrinos)can give rise to mixing between charged leptons and charginos[22],which can again lead to top-like signals of the same kinds from stop decays.A detailed analysis of the signals in such a case will soon be presented by us[23].

In conclusion,the?rst signals of R-parity violating SUSY observable in current and upcoming experiments can very well mimic those of the top quark.This is particularly true if the theory has to account for the neutrino masses and mixing suggested by experimental results on atmospheric muon neutrinos.We can use the already available single lepton+jets as well as dilepton data from the Fermilab Tevatron to constrain a large range of the lighter stop mass in such a scenario.In the upgraded version of the Tevatron,too,top quark signals will continue to be useful probes for such types of SUSY.

We thank S.Raychaudhuri and M.Guchait for technical help.

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FIGURES

FIG.1.Contributions to single muon+3jets+E T events from tˉt production for m t=175 GeV(solid line)and?t1?t?1production(followed by R-parity violating decays of?t1’s,dashed lines)

as a function of m?t

1at Tevatron with

FIG.2.Same as in Fig.1except for contributions to di-muon+di-jet+E T events.

如何写先进个人事迹

如何写先进个人事迹 篇一:如何写先进事迹材料 如何写先进事迹材料 一般有两种情况:一是先进个人,如先进工作者、优秀党员、劳动模范等;一是先进集体或先进单位,如先进党支部、先进车间或科室,抗洪抢险先进集体等。无论是先进个人还是先进集体,他们的先进事迹,内容各不相同,因此要整理材料,不可能固定一个模式。一般来说,可大体从以下方面进行整理。 (1)要拟定恰当的标题。先进事迹材料的标题,有两部分内容必不可少,一是要写明先进个人姓名和先进集体的名称,使人一眼便看出是哪个人或哪个集体、哪个单位的先进事迹。二是要概括标明先进事迹的主要内容或材料的用途。例如《王鬃同志端正党风的先进事迹》、《关于评选张鬃同志为全国新长征突击手的材料》、《关于评选鬃处党支部为省直机关先进党支部的材料》等。 (2)正文。正文的开头,要写明先进个人的简要情况,包括:姓名、性别、年龄、工作单位、职务、是否党团员等。此外,还要写明有关单位准备授予他(她)什么荣誉称号,或给予哪种形式的奖励。对先进集体、先进单位,要根据其先进事迹的主要内容,寥寥数语即应写明,不须用更多的文字。 然后,要写先进人物或先进集体的主要事迹。这部分内容是全篇材料

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英语各种词性的用法

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