Kao, Chung-Wen 高崇文 Chung Yuan Christian University 臺灣中原大學

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Presentation transcript:

Kao, Chung-Wen 高崇文 Chung Yuan Christian University 臺灣中原大學 Kaon and Pion Fragmentation functions and SIDIS off deuteron Kao, Chung-Wen 高崇文 Chung Yuan Christian University 臺灣中原大學 2016/7/26 Menu 2016

How to extract Fragmentation functions?

SIDIS off deuteron target p: proton, n: neutron

SIDIS using deuteron target Charge Conjugation

SIDIS using deuteron target Assume PDFs are charge symmetric:

SIDIS using deuteron target DQ>>DS

Constrains on A and B Since S(x)>0, Q(x)>0, then S(x)/Q(x) is positive! At fixed x and Q2 : Note that the values of and are independent of x!

HERMES Data of Pion multiplicity

Let’s shopping!

Choices of FFs

Elementary Fragmentation Functions One step fragmentation process q(k) →h(p)+Q(k-p) With a vertex of quark-quark-PS meson, one can calculate the elementary FFs.

Elementary Fragmentation functions One step fragmentation process q(k) →h(p)+Q(k-p)

Nonlocal Chiral quark model Non-local vertex of quark-quark-PS meson

Inclusion of quark-jet contribution

HKNS (LO) HKNS (NLO) DSS (LO) DSS (NLO) 5.NJL-Jet Model 6.Nonlocal Chiral Quark Model 7.AKK08 8.SMKA 9.DSEHS

HKNS (LO) HKNS (NLO) DSS (LO) DSS (NLO) 5.NJL-Jet Model 6.Nonlocal Chiral Quark Model 7.AKK08 8.SMKA 9.DSEHS

HKNS (LO) HKNS (NLO) DSS (LO) DSS (NLO) 5.NJL-Jet Model 6.Nonlocal Chiral Quark Model 7.AKK08 8.SMKA 9.DSEHS

HKNS (LO) HKNS (NLO) DSS (LO) DSS (NLO) 5.NJL-Jet Model 6.Nonlocal Chiral Quark Model 7.AKK08 8.SMKA 9.DSEHS

HKNS (LO) HKNS (NLO) DSS (LO) DSS (NLO) 5.NJL-Jet Model 6.Nonlocal Chiral Quark Model 7.AKK08 8.SMKA 9.DSEHS

HKNS (LO) HKNS (NLO) DSS (LO) DSS (NLO) 5.NJL-Jet Model 6.Nonlocal Chiral Quark Model 7.AKK08 8.SMKA 9.DSEHS

HKNS (LO) HKNS (NLO) DSS (LO) DSS (NLO) 5.NJL-Jet Model 6.Nonlocal Chiral Quark Model 7.AKK08 8.SMKA 9.DSEHS

HKNS (LO) HKNS (NLO) DSS (LO) DSS (NLO) 5.NJL-Jet Model 6.Nonlocal Chiral Quark Model 7.AKK08 8.SMKA 9.DSEHS

HKNS (LO) HKNS (NLO) DSS (LO) DSS (NLO) 5.NJL-Jet Model 6.Nonlocal Chiral Quark Model 7.AKK08 8.SMKA 9.DSEHS

HERMES Kaon Data A. Airapetian et al. (HERMES Collaboration), Phys. Rev. D 448 89, 097101 (2014).

HKNS (LO) HKNS (NLO) DSS (LO) DSS (NLO) 5.NJL-Jet Model 6.Nonlocal Chiral Quark Model 7.AKK08

HKNS (LO) HKNS (NLO) DSS (LO) DSS (NLO) 5.NJL-Jet Model 6.Nonlocal Chiral Quark Model 7.AKK08

HKNS (LO) HKNS (NLO) DSS (LO) DSS (NLO) 5.NJL-Jet Model 6.Nonlocal Chiral Quark Model 7.AKK08

HKNS (LO) HKNS (NLO) DSS (LO) DSS (NLO) 5.NJL-Jet Model 6.Nonlocal Chiral Quark Model 7.AKK08

HKNS (LO) HKNS (NLO) DSS (LO) DSS (NLO) 5.NJL-Jet Model 6.Nonlocal Chiral Quark Model 7.AKK08

HKNS (LO) HKNS (NLO) DSS (LO) DSS (NLO) 5.NJL-Jet Model 6.Nonlocal Chiral Quark Model 7.AKK08

HKNS (LO) HKNS (NLO) DSS (LO) DSS (NLO) 5.NJL-Jet Model 6.Nonlocal Chiral Quark Model 7.AKK08

HKNS (LO) HKNS (NLO) DSS (LO) DSS (NLO) 5.NJL-Jet Model 6.Nonlocal Chiral Quark Model 7.AKK08

HKNS (LO) HKNS (NLO) DSS (LO) DSS (NLO) 5.NJL-Jet Model 6.Nonlocal Chiral Quark Model 7.AKK08

Inclusion of error bar

Inclusion of error bar

Including the error bar

Inclusion of error bar

Is there inconsistency? To make sense of our result, we try to figure out the best values of DQ and DS to fit the HERMES data. If we assume the values of DQ and DS are not sensitive to Q2 then we only need to plug in PDFs S(x) and Q(x) then we should decide the values of DQ and DS .

Best fit values of DQ and DS DQ<<DS!

Best fit values of DQ and DS

M.Stolarski (COMPASS Collaboration), in SPIN2014, 21st International Symposium on Spin Physics, Beijing, October 19–24, 2014

Best fit values of DQ and DS DKQ DKS DSK<0!

Can CSB explain inconsistency? Assume

Can CSB explain inconsistency?

Can CSB explain inconsistency?

Conclusion To be consistent with HERMES data, the u quark is more likely to fragment to pion rather than kaon. S(x)/Q(x) derived from pion and kaon multiplicity of SIDIS are not consistent with the one from PDFs. None of fragmentation functions can be used to extract PDFs from HERMES data consistently in the LO analysis. CSB is unlikely to explain this problem!

Outlook: NLO analysis

Outlook: NLO analysis HERMES data is challenge for FF modeling !

Thank you for your attention And hope that I have convince you that it is fun to study SIDIS!