C

Collins, Peter

doi:10.1007/978-1-4899-3318-8_3

Cited by 10 publications

(19 citation statements)

References 525 publications

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“…We begin by noting that although factorization is simplest to formulate when all particles are massless, the presence of masses does not by itself require a reformulation of factorized cross sections [39]. Particle mass dependence can be incorporated consistently both into hard scattering functions and long distance parton distributions and fragmentation functions [49,50]. New, power-suppressed corrections to factorization in inclusive and seminclusive cross sections are associated not with fixed mass scales, such as m Q , but with long-distance, nonperturbative effects.…”

Section: Arguments For Factorizationmentioning

confidence: 99%

Heavy quarkonium production at collider energies: Factorization and evolution

et al. 2014

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We present a perturbative QCD factorization formalism for inclusive production of heavy quarkonia of large transverse momentum, pT at collider energies, including both leading power (LP) and next-to-leading power (NLP) behavior in pT . We demonstrate that both LP and NLP contributions can be factorized in terms of perturbatively calculable short-distance partonic coefficient functions and universal non-perturbative fragmentation functions, and derive the evolution equations that are implied by the factorization. We identify projection operators for all channels of the factorized LP and NLP infrared safe short-distance partonic hard parts, and corresponding operator definitions of fragmentation functions. For the NLP, we focus on the contributions involving the production of a heavy quark pair, a necessary condition for producing a heavy quarkonium. We evaluate the first non-trivial order of evolution kernels for all relevant fragmentation functions, and discuss the role of NLP contributions.

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Section: Arguments For Factorizationmentioning

confidence: 99%

Heavy quarkonium production at collider energies: Factorization and evolution

et al. 2014

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“…There are several basic requirements that any complete theoretical description of heavy quarks must satisfy in the context of perturbative QCD (pQCD) to be valid in the full kinematic range from low to high energies [28,31].…”

Section: Brief Review Of Heavy Flavor Schemesmentioning

confidence: 99%

“…The ACOT scheme is based on the proof of factorization with massive quarks by Collins [31] which incorporates the flexibility of introducing separate matching and switching scales (see Secs. II and III).…”

mentioning

confidence: 99%

A NF-Dependent VFNS for Heavy Flavors: Merging the FFNS and VFNS

Kusina¹,

Olness²,

Schienbein³

et al. 2013

Proceedings of XXI International Workshop on Deep-Inelastic Scattering and Related Subjects — PoS(DIS 2013)

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We introduce a Hybrid Variable Flavor Number Scheme (H-VFNS) for heavy flavors, which incorporates the advantages of both the traditional Variable Flavor Number Scheme (VFNS) as well as the Fixed Flavor Number Scheme (FFNS). We include an explicit dependence on number of active flavors N F in both the Parton Distribution Functions (PDFs) and the strong coupling constant α S . This results in sets of coexisting PDFs and α s for N F = {3, 4, 5, 6}, that are related analytically by the MS matching conditions. The H-VFNS resums the heavy quark contributions and provides the freedom to choose the optimal N F for each particular data set. Thus, we can fit selected HERA data in a FFNS framework, while retaining the benefits of the VFNS to analyze LHC data at high scales. We illustrate how such a fit can be implemented for the case of both HERA and LHC data.

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“…This process can be created when the squared invariant mass of the hadronic final state has the condition that runs as follows W 2 ≥4m 2 qH . In the framework of DGLAP (Dokshitzer-Gribov-Lipatov-Altarelli-Parisi) [16][17][18] dynamics, considering the heavy-flavour physics is in the framework of variableflavor-number scheme (VFNS) [19,20]. In this scheme, the mass logarithms are resummed through all orders into a heavy quark density according to the DGLAP evolution equations.…”

Section: Introductionmentioning

confidence: 99%

The behavior of the heavy quarks structure functions at small-x

Boroun

Rezaei

2015

Int. J. Mod. Phys. E

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The behavior of the charm and bottom structure functions (F i k (x, Q 2 ), i=c,b; k=2,L) at small-x is considered with respect to the hard-Pomeron and saturation models. Having checked that this behavior predicate the heavy flavor reduced cross sections concerning the unshadowed and shadowed corrections. We will show that the effective exponents for the unshadowed and saturation corrections are independent of x and Q 2 , and also the effective coefficients are dependent to ln Q 2 compared to Donnachie-Landshoff (DL) and color dipole (CD) models.

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C

Cited by 10 publications

References 525 publications

Heavy quarkonium production at collider energies: Factorization and evolution

Heavy quarkonium production at collider energies: Factorization and evolution

A NF-Dependent VFNS for Heavy Flavors: Merging the FFNS and VFNS

The behavior of the heavy quarks structure functions at small-x

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