Inclusive di-hadron production at 7 and 13 TeV LHC in the full NLA BFKL approach

Transcription

1 Inclusive di-hadron production at 7 and 3 TeV LHC in the full NLA BFKL approach Francesco Giovanni Celiberto francescogiovanni.celiberto@fis.unical.it Università della Calabria - Dipartimento di Fisica Prot. n.776 del 3/4/24 Università della Calabria & INFN-Cosenza Italy in collaboration with D.u. Ivanov, B. Murdaca, A. Papa Eur. Phys. J. C77 (27) no.6, 382 Ai membri del Consiglio doi:.4/epjc/s del [arxiv:7.577] Dipartimento di Fisica SEDE Il Consiglio di Dipartimento è convocato per il /4/24 alle ore 5: c/o l aula dei seminari del Dip.to di Low-x Meeting 27 Fisica per discutere e deliberare sul seguente o.d.g.: June 2 th - 8 th, 27. I punti seguenti saranno discussi dall intero C.d.D.. Comunicazioni Hotel Salsello, Bisceglie (Bari, Italy) Didattica: a) Offerta Formativa

2 Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, 27 2 / 29 Outline Introduction Motivation Di-hadron production 2 Theoretical setup BFKL resummation BFKL cross section and azimuthal coefficients optimization procedure 3 Results Numerical analysis 4 Conclusions & Outlook

3 Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, 27 3 / 29 Motivation Outline Introduction Motivation Di-hadron production 2 Theoretical setup BFKL resummation BFKL cross section and azimuthal coefficients optimization procedure 3 Results Numerical analysis 4 Conclusions & Outlook

4 Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, 27 4 / 29 Motivation Motivation So far, search for BFKL effects had these general drawbacks: too low s or rapidity intervals among tagged particles in the final state too inclusive observables, other approaches can fit them Advent of LHC: higher energies larger rapidity gaps unique opportunity to test pqcd in the high-energy limit disentangle applicability region of energy-log resummation (BFKL approach) Last years: [V.S. Fadin, E.A. Kuraev, L.N. Lipatov (975, 976, 977)] [.. Balitskii, L.N. Lipatov (978)] hadroproduction of two jets featuring high transverse momenta and well separed in rapidity, so called Mueller Navelet jets......possibility to define infrared-safe observables......and constrain the PDFs......theory vs experiment [B. Ducloué, L. Szymanowski, S. Wallon (24)] [F. Caporale, D.u. Ivanov, B. Murdaca, A. Papa (24)]

5 Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, 27 5 / 29 Motivation Mueller Navelet jets p x k J, x 2 k J,2 p 2 Pictures from [D. Colferai, F. Schwennsen, L. Szymanowski, S. Wallon (2)]...large jet transverse momenta: k 2 J, k 2 J,2 Λ 2 QCD...large rapidity gap between jets (high energies) y = ln x J,x J,2 s kj, kj,2

6 Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, 27 6 / 29 Motivation How could we further and deeply probe BFKL?. Study a less inclusive two-body final state... Di-hadron production inclusive production of a pair of charged light hadrons well separed in rapidity hadrons can be detected at the LHC at much smaller values of the transverse momentum than jets possibility to constrain not only the PDFs, but also the FFs! 2. Study three- and four-body final state processes... Multi-jet production [F. Caporale, G. Chachamis, B. Murdaca, A. Sabio Vera (25)] [F. Caporale, F.G. C., G. Chachamis, A. Sabio Vera (26)] [F. Caporale, F.G. C., G. Chachamis, D. Gordo Gómez, A. Sabio Vera (26, 27, 27, in progress)] demand the tagging of one or/and two further jets in more central regions of the detectors with a relative separation in rapidity from each other definition of new, suitable BFKL observables......in order to further investigate the azimuthal distribution of the final state see talk by David Gordo Gómez

7 Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, 27 6 / 29 Motivation How could we further and deeply probe BFKL?. Study a less inclusive two-body final state... Di-hadron production inclusive production of a pair of charged light hadrons well separed in rapidity hadrons can be detected at the LHC at much smaller values of the transverse momentum than jets possibility to constrain not only the PDFs, but also the FFs! 2. Study three- and four-body final state processes... Multi-jet production [F. Caporale, G. Chachamis, B. Murdaca, A. Sabio Vera (25)] [F. Caporale, F.G. C., G. Chachamis, A. Sabio Vera (26)] [F. Caporale, F.G. C., G. Chachamis, D. Gordo Gómez, A. Sabio Vera (26, 27, 27, in progress)] demand the tagging of one or/and two further jets in more central regions of the detectors with a relative separation in rapidity from each other definition of new, suitable BFKL observables......in order to further investigate the azimuthal distribution of the final state see talk by David Gordo Gómez

8 Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, 27 7 / 29 Di-hadron production Outline Introduction Motivation Di-hadron production 2 Theoretical setup BFKL resummation BFKL cross section and azimuthal coefficients optimization procedure 3 Results Numerical analysis 4 Conclusions & Outlook

9 Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, 27 8 / 29 Di-hadron production Di-hadron production Process: proton(p ) + proton(p 2 ) h (k ) + h 2 (k 2 ) + X...LHC physics! p π +, K +, p (k, θ, y) x x2 p2 π, K, p (k2, θ2, y2)

10 Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, 27 9 / 29 Di-hadron production Di-hadron production Process: proton(p ) + proton(p 2 ) h (k ) + h 2 (k 2 ) + X...LHC physics! dσ d ˆσ(x x 2 s, µ) dy dy 2 d 2 k d 2 = dx dx 2 f i (x, µ)f j (x 2, µ) k 2 i,j=q,g dy dy 2 d 2 k d 2 k 2 large hadron transverse momenta: k 2 k 2 2 Λ 2 QCD QCD collinear factorization pqcd allowed large rapidity gap between hadrons (high energies) y = ln x x 2 s ( ) k k2 BFKL resummation: n a n () α n s ln n s + a n () α n s ln n s Collinear fragmentation of the parton i into a hadron h convolution of Di h with a coefficient function Ci h dσ i = Ci h (z)dz dσ h = dα h α h dz z Di h ( αh z, µ ) Ci h (z, µ) where α h is the momentum fraction carried by the hadron

11 Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, 27 / 29 BFKL resummation Outline Introduction Motivation Di-hadron production 2 Theoretical setup BFKL resummation BFKL cross section and azimuthal coefficients optimization procedure 3 Results Numerical analysis 4 Conclusions & Outlook

12 Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, 27 / 29 BFKL resummation The BFKL resummation pqcd, semi-hard processes: s Q 2 Λ 2 QCD total cross section for A + B X : σ AB (s) = Ims(AAB AB) s optical theorem Pomeron channel: t = + singlet colour representation in the t-channel Regge limit: s u, t not growing with s BFKL resummation: leading logarithmic approximation (LLA): α n s (ln s) n next-to-leading logarithmic approximation (NLA): α n+ (ln s) n s Im s ( A AB AB ) factorization: convolution of the Green s function of two interacting Reggeized gluons with the impact factors of the colliding particles

13 BFKL resummation Im s (A) = s d D 2 q (2π) D 2 q 2 d Φ A ( q, s ) D 2 q 2 Green s function is process-independent q 2 2 determined through the BFKL equation δ+i Φ B ( q 2, s ) δ i dω 2πi ( ) s ω G ω ( q, q 2 ) [a.a. Balitsky, V.S. Fadin, E.A. Kuraev, L.N. Lipatov (975)] s Impact factors are process-dependent A A known in the NLA just for few processes q q * forward identified hadron production (αp, k) (αp, k) xp xp q quark vertex q gluon vertex [D.u. Ivanov, A. Papa (22)] Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, 27 2 / 29

14 Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, 27 3 / 29 BFKL resummation Forward hadron impact factor open one of the integrations over the phase space of the intermediate state to allow one parton to fragment into a given hadron (αp, k) (αp, k) xp xp q quark vertex q gluon vertex use QCD collinear factorization f s [quark vertex] Ds h + f g [gluon vertex] Dg h s=q, q project onto the eigenfunctions of the LO BFKL kernel, i.e. transfer to the (ν, n)-representation

15 Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, 27 4 / 29 BFKL cross section and azimuthal coefficients Outline Introduction Motivation Di-hadron production 2 Theoretical setup BFKL resummation BFKL cross section and azimuthal coefficients optimization procedure 3 Results Numerical analysis 4 Conclusions & Outlook

16 Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, 27 5 / 29 BFKL cross section and azimuthal coefficients BFKL cross section... dσ dx dx 2 d 2 k d 2 = k 2 i,j=q, q,g dx dx 2 f i (x, µ)f j (x 2, µ) d ˆσ i,j (x x 2 s, µ) dx dx 2 d 2 k d 2 k 2 p2 p x x2 π +, K +, p (k, θ, y) π, K, p (k2, θ2, y2) slight change of variable in the final state project onto the eigenfunctions of the LO BFKL kernel, i.e. transfer from the reggeized gluon momenta to the (n, ν)-representation suitable definition of the azimuthal coefficients dσ = dx dx 2 d k d k2 dφ dφ 2 (2π) 2 with φ = φ φ 2 π [ C + n= 2 cos(nφ) C n ]...useful definitions: = ln x x 2 s k k2, s = ln k k2

17 Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, 27 6 / 29 BFKL cross section and azimuthal coefficients...and azimuthal coefficients where 2π 2π dσ C n dφ dφ 2 cos[n(φ φ 2 π)] dy dy 2 d k d k2 dφ dφ 2 = e + ( )ᾱs (µ α α 2 s R )[χ(n,ν)+ᾱ s (µ R )K () (n,ν)] dν s s α 2 s (µ R )c (n, ν, k, α )c 2 (n, ν, k2, α 2 ) [ ( c () )] (n, ν, k, α ) + α s (µ R ) c (n, ν, k, α ) + c () 2 (n, ν, k2, α 2 ). c 2 (n, ν, k2, α 2 ) ( n χ(n, ν) = 2ψ() ψ 2 + ) ( n 2 + iν ψ 2 + ) 2 iν ( χ (n, ν) i d dν ln K () (n, ν) = χ (n, ν) + β 8N c χ (n, ν)...several NLA-equivalent expressions can be adopted for C n!...we are using the exponentiated one ( ) c (n, ν) + 2 ln ( µ 2 ) ) R c 2 (n, ν) [F. Caporale, D.u Ivanov, B. Murdaca, A. Papa (24)]

18 Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, 27 7 / 29 optimization procedure Outline Introduction Motivation Di-hadron production 2 Theoretical setup BFKL resummation BFKL cross section and azimuthal coefficients optimization procedure 3 Results Numerical analysis 4 Conclusions & Outlook

19 Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, 27 8 / 29 optimization procedure method NLO BFKL corrections to C with opposite sign with respect to the leading order (LO) result and large in absolute value......call for some optimization procedure......choose scales to mimic the most relevant subleading terms optimization procedure [ S.J. Brodsky, G.P. Lepage, P.B. Mackenzie (983)] preserve the conformal invariance of an observable......by making vanish its β -dependent part * Exact : suppress NLO IFs + NLO Kernel β -dependent factors [F. Caporale, D.u. Ivanov, B. Murdaca, A. Papa (25)]

20 Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, 27 9 / 29 Numerical analysis Outline Introduction Motivation Di-hadron production 2 Theoretical setup BFKL resummation BFKL cross section and azimuthal coefficients optimization procedure 3 Results Numerical analysis 4 Conclusions & Outlook

21 Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, 27 2 / 29 Numerical analysis Observables and kinematics Observables: φ-averaged cross section C, cos (nφ) Cn C R n, with n =, 2, 3 cos (2φ) cos (φ) C 2 cos (3φ) R 2, C cos (2φ) C 3 R 32. C 2 Integrated coefficients: y,max y2,max k,max k2,max C n = dy dy 2 dk dk 2 δ (y y 2 ) C n (y, y 2, k, k 2 ) y,min y 2,min k,min k 2,min Kinematic settings: s = 7, 3 TeV y i 2.4, 4.7, with i =, 2 k,2 5 GeV Phenomenological analysis: full NLA BFKL (...vs k MN jets J,2 µ R = µ R (µ F ),2 = µ R, k,2, r k k2 35 GeV!)

22 Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, 27 2 / 29 Numerical analysis Numerical specifics Numerical tools: Fortran weak time dependence on multidim. integration ranges + NLO MSTW8 PDFs (comparison with MMHT4 and CTEQ4) [A.D. Martin, W.J. Stirling, R.S. Thorne, G. Watt, (29)] + three different FF parameterizations! AKK DSS HKNS + Cernlib [S. Albino, B.A. Kniehl, G. Kramer, (28)] [D. de Florian, R. Sassot, M. Stratmann, (27)] [M. Hirai, S. Kumano, T.-H. Nagai, K. Sudoh, (27)]

23 Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, / 29 Numerical analysis C at s = 7, 3 TeV, 4.8, µ F = µ R C [nb] 3 µ F = µ R = µ R C [nb] 3 µ F = µ R = µ R s = (3 TeV) 2 2 NLA kernel AKK NLA kernel HKNS 2 NLA kernel AKK NLA kernel HKNS [F.G. C., D.u. Ivanov, B. Murdaca, A. Papa (27)]

24 Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, / 29 Numerical analysis C at s = 7, 3 TeV, 4.8, (µ F ),2 = k, C [nb] 3 (µ F ),2 = k,2, µ R = µ R C [nb] 3 (µ F ),2 = k,2, µ R = µ R s = (3 TeV) 2 2 NLA kernel AKK NLA kernel HKNS 2 NLA kernel AKK NLA kernel HKNS [F.G. C., D.u. Ivanov, B. Murdaca, A. Papa (27)]

25 Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, / 29 Numerical analysis C at s = 7, 3 TeV, 9.4, µ F = µ R 5 4 µ F = µ R = µ R 5 4 C [nb] 3 2 C [nb] 3 2 µ F = µ R = µ R s = (3 TeV) 2 NLA kernel AKK NLA kernel HKNS NLA kernel AKK NLA kernel HKNS [F.G. C., D.u. Ivanov, B. Murdaca, A. Papa (27)]

26 Numerical analysis R nm at s = 3 TeV, 4.8, µ F = µ R.8.8 <cos φ>.6 <cos 2φ> µ F = µ R = µ R.2 µ F = µ R = µ R s = (3 TeV) 2 s = (3 TeV) <cos 3φ>.6 C 2 /C µ F = µ R = µ R.2 µ F = µ R = µ R s = (3 TeV) 2 s = (3 TeV) 2 [F.G. C., D.u. Ivanov, B. Murdaca, A. Papa (27)] Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, / 29

27 Numerical analysis R nm at s = 3 TeV, 4.8, (µ F ),2 = k,2.8.8 <cos φ>.6 <cos 2φ> (µ F ),2 = k,2, µ R = µ R.2 (µ F ),2 = k,2, µ R = µ R s = (3 TeV) 2 s = (3 TeV) <cos 3φ>.6 C 2 /C (µ F ),2 = k,2, µ R = µ R.2 (µ F ),2 = k,2, µ R = µ R s = (3 TeV) 2 s = (3 TeV) 2 [F.G. C., D.u. Ivanov, B. Murdaca, A. Papa (27)] Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, / 29

28 Numerical analysis R nm at s = 3 TeV, 9.4, µ F = µ R.8 µ F = µ R = µ R s = (3 TeV) 2.8 µ F = µ R = µ R s = (3 TeV) <cos φ>.4 <cos 2φ> µ F = µ R = µ R s = (3 TeV) µ F = µ R = µ R s = (3 TeV) <cos 3φ>.4 C 2 /C [F.G. C., D.u. Ivanov, B. Murdaca, A. Papa (27)] Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, / 29

29 Conclusions... Comparison of predictions for C and several R nm in the full NLA BFKL approach implementation of exact method for µ R two different ways to optimize µ F value four different kinematical ranges: s = 7, 3 TeV; 4.8, 9.4 NLA corrections to hadron vertices make C bigger: they are positive (!) and partially compensate the negative effect of NLA BFKL kernel corrections comparison with NLO DGLAP calculations needed New suitable channel to improve our knowledge about the dynamics of strong interactions in the Regge limit...outlook enrich the final-state exclusiveness: hadron-jet correlations (FF dependence + asymmetric rapidity and transverse momenta ranges) [F.G. C., D.u. Ivanov, B. Murdaca, A. Papa (in progress)] probe BFKL through other processes: heavy-quark pair production [F.G. C., D.u. Ivanov, B. Murdaca, A. Papa (in progress)] Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, / 29

30 Conclusions... Comparison of predictions for C and several R nm in the full NLA BFKL approach implementation of exact method for µ R two different ways to optimize µ F value four different kinematical ranges: s = 7, 3 TeV; 4.8, 9.4 NLA corrections to hadron vertices make C bigger: they are positive (!) and partially compensate the negative effect of NLA BFKL kernel corrections comparison with NLO DGLAP calculations needed New suitable channel to improve our knowledge about the dynamics of strong interactions in the Regge limit...outlook enrich the final-state exclusiveness: hadron-jet correlations (FF dependence + asymmetric rapidity and transverse momenta ranges) [F.G. C., D.u. Ivanov, B. Murdaca, A. Papa (in progress)] probe BFKL through other processes: heavy-quark pair production [F.G. C., D.u. Ivanov, B. Murdaca, A. Papa (in progress)] Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, / 29

31 Thanks for your attention!!

32 BACKUP slides

33 BACKUP slides Forward hadron impact factor: (ν, n)-projection Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, 27 c (n, ν, k, α ) = 2 [ C A C F f g (x)d h g C F C A ( k 2 ) iν /2 ( α ) + x f a (x)da h a=q, q ( ) dx x 2iν α x α ( α ) ] x c () C ( ) (n, ν, k, α ) = F iν 2 k 2 2 C A 2π [ ( C A f g (x)d h α g C F xζ D h g ( ) α xζ dx α α x x ) C gg (x, ζ) + f a (x)da h a=q q f a (x)c qg (x, ζ) + C A f g (x) a=q q C F Da h a=q q ( ) dζ xζ 2iν ζ α ) C qq (x, ζ) ( α xζ ( ) α C gq (x, ζ) xζ ]

34 BACKUP slides The BFKL cross section Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, 27 C n = e s ymax y min dy k,min dk k 2,min dk 2 + ( )}] + ᾱ MOM s (µ R ) χ(n, ν) + T conf χ(n, ν) C A ( ) [ dx x 2iν C A f g (x)dg h α x α C F ( z dz α 2 z [ α 2 ) 2iν [ C A C F f g (z)d h g ( + ᾱ MOM s (µ R ) [ dν exp ( ) ᾱ MOM s (µ R {χ(n, ) ν) 4(α MOM s (µ R C ))2 F C A k k2 ( α ) ( + x f a (x)d h α ) ] a a=q, q x ) ] ( α2 ) ( + z f a (z)d h α2 a a=q, q z c () )] (n, ν) c (n, ν) + c() 2 (n, ν) c 2 (n, ν) + 2 T conf, C A ( k 2 k 2 2 ) iν with the µ R scale chosen as the solution of the following integral equation...

35 Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, 27 BACKUP slides...choosing the µ R scale C β n = e s ymax y min dy k,min dk k 2,min dk 2 + [ ] dν exp ( ) ᾱ MOM s (µ R )χ(n, ν) ( ) 3 4 α MOM CF s (µ R ) C A ( ) [ dx x 2iν C A f g (x)dg h α x α C F ( dz z α 2 z α 2 ) 2iν [ C A β 2C A + ᾱ MOM χ(n, ν) s (µ R ) ( ) 2 ( k 2 ) iν k k2 k 2 2 ( α ) + x f a (x)da h a=q, q ( α2 ) + z f a (z)da h a=q, q ( + 23 ) I f g (z)dg h C F [ ln µ2 R + f (ν) 2 k k 2 ( χ(n, ν) ln µ2 R + f (ν) 2 k k 2 ( α ) ] x ( α2 ) ] z ( + 23 I ))]! =

36 Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, 27 BACKUP slides...choosing the µ R scale...which represents the condition that terms proportional to β in C n disappear [ α MOM = π ] + 4α s (µ R ) T, 2T π with T = T β + T conf, T conf = C A 8 T β = β ( + 23 ) 2 I, [ 7 2 I + 3 (I ) ξ + ( 3 ) 2 I ξ 2 6 ] ξ3 where I = 2 ln(x) dx x and ξ is a gauge parameter. x+,

37 BACKUP slides vaules for µ R µ R / (k k 2 ) / scale for C - AKK µ R / (k k 2 ) / scale for C - AKK 5 scale for C - HKNS scale for C - AKK 5 scale for C - HKNS scale for C - AKK 5 scale for C - HKNS scale for C 2 - AKK scale for C 2 - HKNS scale for C 3 - AKK µ F = µ R 5 scale for C - HKNS scale for C 2 - AKK scale for C 2 - HKNS scale for C 3 - AKK µ F = µ R s = (3 TeV) 2 5 scale for C 3 - HKNS 5 scale for C 3 - HKNS µ R / (k k 2 ) / scale for C - AKK scale for C - HKNS scale for C - AKK scale for C - HKNS scale for C 2 - AKK scale for C 2 - HKNS scale for C 3 - AKK scale for C 3 - HKNS (µ F ),2 = k,2 µ R / (k k 2 ) / scale for C - AKK scale for C - HKNS scale for C - AKK scale for C - HKNS scale for C 2 - AKK scale for C 2 - HKNS scale for C 3 - AKK scale for C 3 - HKNS (µ F ),2 = k,2 s = (3 TeV) 2 [F.G. C., D.u. Ivanov, B. Murdaca, A. Papa (27)] Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, 27

38 BACKUP slides C at s = 7, 3 TeV, µ R = k k2, (µ F ),2 = k, C [nb] 4 MS scheme (µ F ),2 = k,2, µ R = (k k 2 ) /2 C [nb] 4 MS scheme (µ F ),2 = k,2, µ R = (k k 2 ) /2 s = (3 TeV) NLA kernel AKK NLA kernel HKNS 3 2 NLA kernel AKK NLA kernel HKNS C [nb] 2 MS scheme (µ F ),2 = k,2, µ R = (k k 2 ) /2 C [nb] 2 MS scheme (µ F ),2 = k,2, µ R = (k k 2 ) /2 s = (3 TeV) 2 NLA kernel AKK NLA kernel HKNS NLA kernel AKK NLA kernel HKNS [F.G. C., D.u. Ivanov, B. Murdaca, A. Papa (27)] Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, 27

39 BACKUP slides R nm at s = 7 TeV, 4.8, µ F = µ R.8.8 <cos φ>.6 <cos 2φ> µ F = µ R = µ R.2 µ F = µ R = µ R.8.8 <cos 3φ>.6 C 2 /C µ F = µ R = µ R.2 µ F = µ R = µ R [F.G. C., D.u. Ivanov, B. Murdaca, A. Papa (27)] Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, 27

40 BACKUP slides R nm at s = 7 TeV, 4.8, (µ F ),2 = k,2.8.8 <cos φ>.6 <cos 2φ> (µ F ),2 = k,2, µ R = µ R.2 (µ F ),2 = k,2, µ R = µ R.8.8 <cos 3φ>.6 C 2 /C (µ F ),2 = k,2, µ R = µ R.2 (µ F ),2 = k,2, µ R = µ R [F.G. C., D.u. Ivanov, B. Murdaca, A. Papa (27)] Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, 27

41 BACKUP slides R nm at s = 7 TeV, 9.4, µ F = µ R.8 µ F = µ R = µ R.8 µ F = µ R = µ R.6.6 <cos φ>.4 <cos 2φ> µ F = µ R = µ R µ F = µ R = µ R.6.6 <cos 3φ>.4 C 2 /C [F.G. C., D.u. Ivanov, B. Murdaca, A. Papa (27)] Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, 27

42 BACKUP slides C, R at s = 7, 3 TeV, 4.8, µ F = r k k2 6 r = /2 r = r = 2 r = 4 r = /2 r = r = 2 r = C [nb] 4 <cos φ>.6 3 HKNS FF parametrization.4 HKNS FF parametrization 2 µ F = r(k k 2 ) /2, µ R = µ R.2 µ F = r(k k 2 ) /2, µ R = µ R 6 r = /2 r = r = 2 r = 4 r = /2 r = r = 2 r = C [nb] 4 <cos φ> HKNS FF parametrization µ F = r(k k 2 ) /2, µ R = µ R s = (3 TeV) HKNS FF parametrization µ F = r(k k 2 ) /2, µ R = µ R [F.G. C., D.u. Ivanov, B. Murdaca, A. Papa (27)] Francesco Giovanni Celiberto Di-hadron production at LHC June 3th, 27