Searches for Contact Interactions at HERA
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1 Sarchs for Contact Intractions at HERA A.F.Żarncki Univrsity of Warsaw for ZEUS XVI Intrnational Workshop on Dp-Inlastic Scattring and Rlatd Subjcts 7- April 2008, Univrsity Collg London A.F.Żarncki Sarchs for Contact Intractions at HERA p./7
2 Outlin Introduction HERA running A.F.Żarncki Sarchs for Contact Intractions at HERA p.2/7
3 Outlin Introduction HERA running Nutral Currnt Dp Inlastic ± p Scattring Possibl Contact Intraction contribution A.F.Żarncki Sarchs for Contact Intractions at HERA p.2/7
4 Outlin Introduction HERA running Nutral Currnt Dp Inlastic ± p Scattring Possibl Contact Intraction contribution Contact Intraction rsults Compositnss modls Larg Extra Dimnsions Havy lptouarks Quark form factor A.F.Żarncki Sarchs for Contact Intractions at HERA p.2/7
5 Outlin Introduction HERA running Nutral Currnt Dp Inlastic ± p Scattring Possibl Contact Intraction contribution Contact Intraction rsults Compositnss modls Larg Extra Dimnsions Havy lptouarks Quark form factor Conclusions A.F.Żarncki Sarchs for Contact Intractions at HERA p.2/7
6 Introduction HERA lctron(positron)-proton collidr at DESY + / p HERA luminosity GV 820 GV 920 GV HERA I ovr 0pb collctd pr xprimnt mainly + p data Intgratd Luminosity (pb - ) Days of running A.F.Żarncki Sarchs for Contact Intractions at HERA p.3/7
7 Introduction HERA lctron(positron)-proton collidr at DESY + / 27.5 GV p 820 GV 920 GV HERA I ovr 0pb collctd pr xprimnt mainly + p data H Intgratd Luminosity / pb Status: -July-2007 lctrons positrons low E HERA-2 HERA- HERA II about 400pb pr xprimnt similar amount of p and + p data Days of running 20pb of data from low and mdium nrgy running: not considrd hr A.F.Żarncki Sarchs for Contact Intractions at HERA p.3/7
8 Introduction HERA II Spin Rotator Longitudinal Polarimtr Spin Rotator Through th mission of synchrotron radiation lctron bam at HERA bcoms transvrsly polarizd Spin Rotators installd to obtain longitudinal polarization at IP Spin Rotator Spin Rotator Transvrs Polarimtr p Spin Rotator Spin Rotator Bam Dirction A.F.Żarncki Sarchs for Contact Intractions at HERA p.4/7
9 Introduction HERA II Spin Rotator Longitudinal Polarimtr Spin Rotator Through th mission of synchrotron radiation lctron bam at HERA bcoms transvrsly polarizd Spin Rotators installd to obtain longitudinal polarization at IP Spin Rotator Spin Rotator Transvrs Polarimtr p Spin Rotator Spin Rotator Bam Dirction Luminosity /pb p Polarisation /% H Collaboration - Luminosity /pb p Polarisation /% A.F.Żarncki Sarchs for Contact Intractions at HERA p.4/7 H Collaboration Polarization masurd in ddicatd polarimtrs Avrag polarization 30-40%
10 , 0 E t/gv + Dp Inlastic ± p Scattring Main procss studid at H and ZEUS NC DIS Q 2 = GV 2 ; y = 0:56; M = 2 GV CC DIS jt XY Viw ZR Viw Kinmatic variabls: (k) ; (k 0 ) Q 2 =?(k? k 0 ) 2 Q 2 virtuality of th xchangd boson spatial rsolution λ /Q snsitivity to mass scals Λ Q ; Z; W x = 2P (k? k 0 ) (xp ) = P (k? k0 ) y k P p(p ) p rmnant A.F.Żarncki Sarchs for Contact Intractions at HERA p.5/7
11 , 0 E t/gv + Q 2 =?(k? k 0 ) 2 Dp Inlastic ± p Scattring Main procss studid at H and ZEUS NC DIS Q 2 = GV 2 ; y = 0:56; M = 2 GV CC DIS jt XY Viw ZR Viw Kinmatic variabls: virtuality of th xchangd boson (k) ; (k 0 ) ; Z; W x = Q 2 2P (k? k 0 ) fraction of proton momnta carrid by stuck uark p(p ) p rmnant = P (k? k0 ) y k P fraction of lpton nrgy transfrd in th proton rst fram (xp ) A.F.Żarncki Sarchs for Contact Intractions at HERA p.5/7
12 Dp Inlastic ± p Scattring Nutral Currnt DIS at highst Q 2 Z contribution significant Excllnt agrmnt of prcis data with Standard Modl ovr many ordrs of magnitud tst ground for SM and QCD ) 2 (pb/gv 2 dσ/dq H Nutral Currnt (p X) H HERA I+II + p (prl.) H HERA I+II - p (prl.) H 2000 PDF + p H 2000 PDF - p Contact Intractions analysis: sarch for possibl dviations at highst Q y < 0.9 P = 0 s = 39 GV Considrd data sampls: ZEUS: Q 2 > 00 GV 2 H: Q 2 > 200 GV Q 2 (GV ) A.F.Żarncki Sarchs for Contact Intractions at HERA p.6/7
13 Dp Inlastic ± p Scattring Possibl nw physics in NC DIS: For s much smallr than procss scal Λ ffctiv paramtrization: Z LQ, ~ η contact intractions (CI) LQ Effctiv Lagrangian for vctor contact intractions: L CI = η αβ (ē αγ µ α )( β γ µ β ) G G G R Z γ η αβ α,β=l,r - 4 possibl couplings for vry flavor Scalar and tnsor CI constraind byond HERA snsitivity. A.F.Żarncki Sarchs for Contact Intractions at HERA p.7/7
14 Dp Inlastic ± p Scattring Contact Intractions Contact Intractions modify tr lvl scattring amplituds M αβ : γ o Z η M αβ (Q2 ) = 2 2 gαg β Q 2 sin 2 θ W cos 2 θ W Q 2 + m 2 + η αβ Z α, β = L, R γ Z? Diffrnt modls assum diffrnt hlicity structur of nw intractions, givn by st of couplings η αβ (4 for vry flavor ) A.F.Żarncki Sarchs for Contact Intractions at HERA p.8/7
15 Dp Inlastic ± p Scattring Cross-sction formula Lading Ordr For NC ± p DIS with unpolarizd bam d 2 σ p dxdy = sx 6π (x) { + (x) { M LL 2 + M LR 2 + M RR 2 + ( y) 2 [ M RL 2 + ( y) 2 [ M LR 2 + M LL 2 + M RL 2]} M RR 2]} d 2 σ + p dxdy = sx 6π (x) { + (x) { M LR 2 + M LL 2 + M RL 2 + ( y) 2 [ M RR 2 + ( y) 2 [ M LL 2 + M LR 2 + M RR 2]} M RL 2]} p most snsitiv to η LL + p most snsitiv to η LR and η RR and η RL (=u,d) A.F.Żarncki Sarchs for Contact Intractions at HERA p.9/7
16 Dp Inlastic ± p Scattring Cross-sction formula For NC ± p DIS with Lading Ordr polarizd bam d 2 σ p dxdy = sx 6π d 2 σ + p dxdy = sx 6π (x) { P M LL 2 + P + M RR 2 + ( y) 2 [ P M LR 2 + P + M RL 2]} + (x) { P M LR 2 + P + M RL 2 + ( y) [ 2 P M LL 2 + P + M RR 2]} (x) { P + M LR 2 + P M RL 2 + ( y) 2 [ P + M LL 2 + P M RR 2]} + (x) { P + M LL 2 + P M RR 2 + ( y) [ 2 P + M LR 2 + P M RL 2]} p most snsitiv to η LL + p most snsitiv to η LR whr: P ± = ( ± P) and η RR and η RL (=u,d) P is lpton bam polarization Combining polarizd + p and p data w can st bttr constrains on M αβ A.F.Żarncki Sarchs for Contact Intractions at HERA p.9/7
17 Contact Intraction rsults Gnral modls Also rfrrd to as compositnss modls Couplings η αβ ar rlatd to th nw physics mass scal Λ by th formula: η = ε g2 CI Λ 2 whr g CI is th coupling strngth of nw intractions and ε = ±. By convntion w st g 2 CI = 4π. Modls consrving parity: η LL + η LR η RL η RR = 0 Family univrsality assumd! Modls consrving parity: Modl ηll d ηlr d ηrl d ηrr d ηll u ηlr u ηrl u ηrr u VV +η +η +η +η +η +η +η +η AA +η η η +η +η η η +η VA +η η +η η +η η +η η X +η η +η η X2 +η +η +η +η X3 +η +η +η +η X4 +η +η +η +η X5 +η +η +η +η X6 +η η +η η U +η η U2 +η +η U3 +η +η U4 +η +η U5 +η +η U6 +η η Modls violating parity: LL +η +η LR +η +η RL +η +η RR +η +η A.F.Żarncki Sarchs for Contact Intractions at HERA p./7
18 Contact Intraction rsults ZEUS Gnral modls ZEUS data compard with SM: N/N CTEQ5D N/N CTEQ5D ZEUS Contact Intractions Limits (prl.) Contact Intractions Limits (prl.) 3 4 ZEUS p VV Λ = 8.0 TV VV Λ + = 6.3 TV ZEUS (prl.) - p AA Λ = 6.7 TV AA Λ + = 6. TV Q 2 (GV 2 ) Q 2 (GV 2 ) ZEUS 95% CL limits: Λ > TV VV AA VA X X2 X3 X4 X5 X6 U U2 U3 U4 U5 U6 LL LR RL RR (prl.) ± p 330 pb - -/Λ 2 bst fit valu allowd ±/Λ 2 rang +/Λ 2 bst fit valu Λ (TV) Λ + (TV) ±/Λ 2 (TV -2 ) H 95% CL limits: Λ > TV (HERA I; Phys Ltt B568 (2003) 35-47) A.F.Żarncki Sarchs for Contact Intractions at HERA p./7
19 Contact Intraction rsults Larg Extra Dimnsions Arkani-Hamd Dimopoulos Dvali Modl If gravity propagats in 4 + δ D, ffctiv mass scal M S can b as low as TV. gravity bcoms comparabl in strngth to lctrowak intractions. Contribution of graviton (Kaluza-Klin towr) xchang to th ± p NC DIS: ffctiv contact intraction typ coupling η G = ±λ E 2 M 4 S Cross-sction dviations for p: - M S = 0.5 TV y M S + = 0.5 TV x σ/σ SM 0. whr λ is th coupling strngth and E is rlatd to th nrgy scals of hard intraction. ( s, Q 2 ) A.F.Żarncki Sarchs for Contact Intractions at HERA p.2/7 x
20 Contact Intraction rsults Larg Extra Dimnsions Arkani-Hamd Dimopoulos Dvali Modl If gravity propagats in 4 + δ D, ffctiv mass scal M S can b as low as TV. gravity bcoms comparabl in strngth to lctrowak intractions. Contribution of graviton (Kaluza-Klin towr) xchang to th ± p NC DIS: ffctiv contact intraction typ coupling η G = ±λ E 2 M 4 S ZEUS data : N/N CTEQ5D N/N CTEQ5D ZEUS Larg Extra Dimnsions Limits (prl.) Larg Extra Dimnsions Limits (prl.) ZEUS p M S = 0.9 TV M S + = 0.88 TV ZEUS (prl.) - p Q 2 (GV 2 ) whr λ is th coupling strngth and E is rlatd to th nrgy scals of hard intraction. ( s, Q 2 ) 3 4 ZEUS 95% CL limits: M S > 0.90 TV, M+ S H (HERA I): M S > 0.78 TV, M+ S Q 2 (GV 2 ) > 0.88 TV > 0.82 TV A.F.Żarncki Sarchs for Contact Intractions at HERA p.2/7
21 Contact Intraction rsults Quark form factor classical mthod to look for possibl frmion (sub)structur. If a uark has finit siz, th standard modl cross-sction is xpctd to dcras at high momntum transfr: dσ dq 2 = dσsm dq 2 [ ] 2 [ ] 2 R2 6 Q2 R2 6 Q2 whr R is th root man-suar radius of th lctrowak charg distribution in th uark. W do not considr th possibility of finit lctron siz... sam dpndnc xpctd for + p and p! A.F.Żarncki Sarchs for Contact Intractions at HERA p.3/7
22 Contact Intraction rsults Quark form factor H : ZEUS : - H Quark Radius Limit HERA I+II (435 pb ) ZEUS 2 CTEQ6D / dσ/dq p N/N CTEQ5D ZEUS (prl.) ± p R 2 = ( cm) 2 R 2 = -(0.8-6 cm) 2 dσ/dq Normalisation Uncrtainty PDF Uncrtainty -8 = 0.74 m (95% CL) R Quark Radius Limits (prl.) p 3 4 R < cm Q 2 (GV 2 ) H Prliminary 3 R < cm Q (GV ) (Hprlim-07-4 for LP 2007) A.F.Żarncki Sarchs for Contact Intractions at HERA p.4/7
23 Contact Intraction rsults High mass lptouarks ZEUS For high mass lptouarks M LQ s N/N CTEQ5D ZEUS p S L /2 M/λ=0.87 TV V L /2 M/λ=0.45 TV virtual LQ production/xchang rsults in an ffctiv CI coupling: ( ) 2 λ η CI M both s- and u-channl xchang important! λ - lptouark Yukawa coupling N/N CTEQ5D.2 Limits on Havy Lptouarks (prl.) ZEUS (prl.) - p V L M/λ=2.08 TV S L M/λ=0.73 TV Q 2 (GV 2 ) ZEUS 95% CL limits ( ): M LQ /λ LQ > TV Limits on Havy Lptouarks (prl.) 3 4 Q 2 (GV 2 ) A.F.Żarncki Sarchs for Contact Intractions at HERA p.5/7
24 Contact Intraction rsults High mass lptouarks Comparison of ZEUS limits from CI analysis with limits from LQ analysis of H and limits from othr xprimnts: - Lptouark Sarch, HERA I+II (449 pb ) - Lptouark Sarch, HERA I+II (449 pb ) λ λ - Excludd - S 0,L ( u, νd) H prlim. singl LQ - Excludd ~ + S /2,L ( d) H prlim. singl LQ H (94-00) singl LQ H (94-00) singl LQ -2 ZEUS prlim. CI D0 pair prod. L3 indir. limit -2 D0 pair prod. OPAL indir. limit M LQ / GV HERA limits comptitiv to LEP and Tvatron limits. H : A. Aktas t al., Phys. Ltt. B629 (2005) 9-9 H prl.: rsult submittd to LP 2007 (Hprlim-07-64) M LQ / GV A.F.Żarncki Sarchs for Contact Intractions at HERA p.6/7
25 Conclusions HERA II High luminosity + polarization nw window for prcis EW studis. A.F.Żarncki Sarchs for Contact Intractions at HERA p.7/7
26 Conclusions HERA II High luminosity + polarization nw window for prcis EW studis. NC DIS at high Q 2 in vry good agrmnt with SM limits on dviations from SM st in diffrnt modls Gnral Contact Intraction modls, Larg Extra Dimnsions, Quark radius, High mass lptouarks A.F.Żarncki Sarchs for Contact Intractions at HERA p.7/7
27 Conclusions HERA II High luminosity + polarization nw window for prcis EW studis. NC DIS at high Q 2 in vry good agrmnt with SM limits on dviations from SM st in diffrnt modls Gnral Contact Intraction modls, Larg Extra Dimnsions, Quark radius, High mass lptouarks HERA running finishd, but larg sampls of data collctd with polarizd lpton bams still bing analyzd. Many mor intrsting rsults xpctd. A.F.Żarncki Sarchs for Contact Intractions at HERA p.7/7
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