在ilc上用γγ→z过程检验非对易时空标度

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1、131ò19ÏpUÔn†ØÔnVol.31,No.92007c9HIGHENERGYPHYSICSANDNUCLEARPHYSICSSep.,2007ProbingNoncommutativeSpace-TimeScaleUsing!ZatILC1;22HEXiao-GangLIXue-Qian1(DepartmentofPhysicsandCenterforTheoreticalSciences,TaiwanUniversity,Taipei,China)2(DepartmentofPhysics

2、,NankaiUniversity,Tianjin300071,China)AbstractInthistalkwereportourworkontestingNoncommutativeSpace-TimeScaleUsing!ZatILC.Inordinaryspace-timetheory,decayofaspin-1particleintotwophotonsisstrictlyforbiddenduetotheYang'sTheorem.Withnoncommutativespace-tim

3、ethisprocesscanoccur.Thisprocessthusprovidesanimportantprobefornoncommutativespace-time.ThecollisionmodeattheILCprovidesanidealplaceto1carryoutsuchastudy.Assuminganintegratedluminosityof500fb,weshowthattheconstraintwhichcan5beachievedon(Z!)isthreetof

4、ourordersofmagnitudebetterthanthecurrentboundof5:210GeV.ThenoncommutativescalecanbeprobeduptoafewTeVs.Keywordsnoncommutativespace-time,Yang'stheorem,photoncollider[1]InthistalkwereportourworkontestingNon-Inmomentumspace,thersttermisgivenbycommutativeS

5、pace-TimeScaleUsing!ZatILC.Z(k1+k2)ˆ(k1ˆ2k2ˆ1k1ˆk21ˆ2);Inordinaryspace-timeeldtheory,decayofaspin-1particleintotwophotonsisstrictlyforbiddenduewhichiszeroforon-shellZ.Similarly,onecanshow[2]totheYang'sTheorem.Therefore!Zcan-thattheothertermsareal

6、sozerowhenparticlesarenotoccurintheStandardModel(SM).Withnon-on-shell.commutativespace-timethisprocesscanoccur.ThisAnothertypeoftermsinvolvesF~=processthusprovidesanimportantprobefornon-(i=2)Fwhichhasoddparity.Using¶F~=0,commutativespace-time.Th

7、ecollisionattheILCwendtheindependenttermstobegivenbybylaserbackscatteringoftheelectronandpositron¶Z(F~1F2+F~2F1);¶Z(F~1F2+F~2F1);beamsprovidesanidealplacetocarryoutsucha¶Z(F1F2+F2F1);study.Tostartwith,letusbrie yre

8、viewwhyZ!Z(¶F1F2+¶F2F1):cannotoccurinordinaryspace-timeeldtheorybyTherstterminmomentumspaceisgivenbyconstructingZ--interactionfromZ,F.Z[k1k2(1ˆk121ˆk2)(k1k2)12k1ˆk2]:TheLagrangianmustbesymmetricin