Strangeness Production in DIS at HERA HERA kinematics

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Strangeness Production in DIS at HERA • • HERA kinematics Strange Particles (K 0

Strangeness Production in DIS at HERA • • HERA kinematics Strange Particles (K 0 s, Λ) Production in ep Collisions Differential cross-sections asymmetry Ratios of differential cross sections (Λ /K 0 s, K 0 s/h±) • Summary Grażyna Nowak IFJ PAN Krakow Grażyna Nowak representing Strangeness Production in DIS at HERA Collaboration DIS 2009 Madrid 26 -30. 04. 2009

e±p kinematics at HERA ep center of mass energy hadronic final state mass exchanged

e±p kinematics at HERA ep center of mass energy hadronic final state mass exchanged momentum (squared) inelasticity variable Hadrons: light (u, d) strange (s) Bjorken scaling variable heavy (c, b) Measurement: Neutral Current (NC) Deep Inelastic Scattering (DIS) 2 < Q 2 < 100 Ge. V 2 non-perturbative hadronisation process leading to hadronic final state 0. 1 < y < 0. 6 kinematics from scattered electron HERA I data int. luminosity of ≈ 50 pb-1 2 Grażyna Nowak Strangeness Production in DIS at HERA DIS 2009 Madrid 26 -30. 04. 2009

Processes for Strangeness Production in ep Scattering Dominant: hadronisation (non-perturbative process) LUND string fragmentation

Processes for Strangeness Production in ep Scattering Dominant: hadronisation (non-perturbative process) LUND string fragmentation model strangeness suppression factor λs=P(s)/P(q) more parameters for baryon production: diquark suppression factor strange diquark suppression factor hard processes: QPM Grażyna Nowak boson-gluon fusion Strangeness Production in DIS at HERA λqq=(P(qq)/P(q) λsq=(P(sq)/P(qq))/(P(s)/P(q)) decays of heavy quarks DIS 2009 Madrid 26 -30. 04. 2009

QCD Models for DIS ep Interactions first order QCD Matrix Element parton shower ARIADNE

QCD Models for DIS ep Interactions first order QCD Matrix Element parton shower ARIADNE LEPTO MEPS Matrix Element+ Parton Shower DGLAP – strong ordering in k. T of emitted partons CDM Color Dipole Model dipoles radiate independently no ordering in k. T of emitted partons Both are interfaced to JETSET for hadronisation (Lund string model) with s=0. 286, qq=0. 108, sq=0. 690 (e+e- ALEPH tuned parameters) only s varied for comparison of the predictions Grażyna Nowak Strangeness Production in DIS at HERA DIS 2009 Madrid 26 -30. 04. 2009

Observation of K 0 s , Λ 0. 5 < pt < 3. 5

Observation of K 0 s , Λ 0. 5 < pt < 3. 5 Ge. V K 0 s , Λ signals ~ 213 000 K 0 s -1. 3 < η < 1. 3 ~22 000 Λ Grażyna Nowak Strangeness Production in DIS at HERA ~20 000 DIS 2009 Madrid 26 -30. 04. 2009

K 0 2 s differential production cross-sections in LAB frame in Q , x

K 0 2 s differential production cross-sections in LAB frame in Q , x , η , p. T Overall agreement with LO Monte Carlo predictions CDM with s = 0. 3 MEPS with s = 0. 22 Theory(MC pred. )/Data points Difficulties: at low x , at low p. T , shape of η Grażyna Nowak Strangeness Production in DIS at HERA DIS 2009 Madrid 26 -30. 04. 2009

Λ differential production cross-sections in LAB frame in Q 2, x , p. T,

Λ differential production cross-sections in LAB frame in Q 2, x , p. T, η Overall agreement with LO Monte Carlo predictions CDM and MEPS with s = 0. 3 (strange baryon production depends not only on s , but also on qq, sq ) Difficulties: at low x , at low p. T , shape of η Grażyna Nowak Strangeness Production in DIS at HERA DIS 2009 Madrid 26 -30. 04. 2009

K 0 Breit differential x-sections in Breit frame in p , x T p

K 0 Breit differential x-sections in Breit frame in p , x T p s current struck quark xp. Breit = (2 ph. Breit) Q target proton remnants QPM picture is modified by higher orders CDM and MEPS with s = 0. 3 describe the differential x-sections current region less sensitive to s with respect to the laboratory frame or target hemisphere Grażyna Nowak Strangeness Production in DIS at HERA DIS 2009 Madrid 26 -30. 04. 2009

Λ differential production cross-sections in Breit frame in xp. Breit , p. TBreit current

Λ differential production cross-sections in Breit frame in xp. Breit , p. TBreit current target Q struck quark proton remnants QPM picture is modified by higher orders CDM and MEPS with s = 0. 3 describe the differential cross-sections current region less sensitive to s with respect to the laboratory frame or target hemisphere Grażyna Nowak Strangeness Production in DIS at HERA DIS 2009 Madrid 26 -30. 04. 2009

AΛ= Breit frame Laboratory frame Test of transfer of the baryon number from the

AΛ= Breit frame Laboratory frame Test of transfer of the baryon number from the proton beam to the final state strange particles AΛ≈ 0 No evidence of baryon number transfer is visible in the measured data Grażyna Nowak Strangeness Production in DIS at HERA DIS 2009 Madrid 26 -30. 04. 2009

Sensitivity of K 0 s, Λ Production to Proton Parton Density Functions CDM predictions

Sensitivity of K 0 s, Λ Production to Proton Parton Density Functions CDM predictions with s = 0. 286 K 0 s Λ PDF parametrisations: CTEQ 6 L, H 12000 L 0 GRV-94 LO K 0 s , Λ η distributions: no sensitivity to PDF Λ Grażyna Nowak K 0 s Strangeness Production in DIS at HERA Q 2 distributions: different predictions for different PDFs DIS 2009 Madrid 26 -30. 04. 2009

Ratio of production cross sections: strange baryons/strange mesons LAB frame CDM describes the data

Ratio of production cross sections: strange baryons/strange mesons LAB frame CDM describes the data MEPS below the data difficulties: at high Q 2 η shape no sensitivity to s , as expected Grażyna Nowak Strangeness Production in DIS at HERA DIS 2009 Madrid 26 -30. 04. 2009

Ratio of production cross sections: strange baryons/strange mesons Breit frame distributions in the target

Ratio of production cross sections: strange baryons/strange mesons Breit frame distributions in the target and current hemispheres reasonably well described by CDM and MEPS models very weak dependence on s Grażyna Nowak Strangeness Production in DIS at HERA DIS 2009 Madrid 26 -30. 04. 2009

Ratio of production cross sections: strange mesons/charged hadrons LAB h± in the same kinematic

Ratio of production cross sections: strange mesons/charged hadrons LAB h± in the same kinematic region as K 0 s ratio rises strongly with p. T , ~constant as a function of x, Q 2, η MEPS favours a lower value of s= 0. 22 over the full phase space CDM at low Q 2 better with s=0. 3, at high Q 2 prefered lower s=0. 22 difficulties : at low x, at low pt, large positive η Grażyna Nowak Strangeness Production in DIS at HERA DIS 2009 Madrid 26 -30. 04. 2009

Summary • K 0 s and Λ production in laboratory frame: reasonable good description

Summary • K 0 s and Λ production in laboratory frame: reasonable good description by LO Monte Carlos (CDM, MEPS) CDM with s = 0. 3 best , but • • both models have difficulties at small x, low p. T , η shape • K 0 s and Λ production in Breit frame: well described by both the MEPS and CDM predictions with s = 0. 3 ratios of production cross-sections: Λ/K 0 s better described by CDM with s = 0. 3 K 0 s/charged hadrons better described by MEPS with s = 0. 22 No single combination of model and s describes all data in the measured region • no indication of baryon number transfer is observed Grażyna Nowak Strangeness Production in DIS at HERA DIS 2009 Madrid 26 -30. 04. 2009