Fragmentation, NRQCD and Factorization in Heavy Quarkonium Production

Nayak, Gouranga C.

doi:10.1063/1.2220338

Cited by 15 publications

(26 citation statements)

References 31 publications

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“…We use a double superscript to denote these double subtractions. For example, if we are considering the limit where the 3 propagator is going on-shell S (3) then we must add back the contribution where 2 also goes on shell since that contribution is part of S (23) . Thus S (3)(2) corresponds to the contribution that must be added back to ensure that we are not over-subtracting.…”

Section: One Loop Soft Real Emission For Soft-glauber Correspondencementioning

confidence: 99%

“…23 The logarithms that are generated due to this hierarchy are summed with the rapidity renormalization group. At the amplitude level the structure of the anomalous dimensions and their explicit one-loop computation can be found in section 7.2.…”

Section: Jhep08(2016)025mentioning

confidence: 99%

“…The process through which massless spectators interact is called "Glauber exchange" and proving that such interactions cancel in various observables has been a subject which, while well appreciated, has often not received the attention it deserves. Derivations of factorization theorems for hadron collisions exist in only a few special cases, namely for Drell-Yan-like process [19][20][21], for single inclusive hadron production [22,23], and recently for doubleparton scattering [24] (with arguments for situations with observed jets in [25]), each using the techniques of CSS [21]. These results are often used to motivate using factorization to make predictions in other hadron-hadron scattering observables without complete proofs.…”

Section: Jhep08(2016)025 1 Introductionmentioning

confidence: 99%

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An effective field theory for forward scattering and factorization violation

Rothstein

Stewart

2016

J. High Energ. Phys.

135

291

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Starting with QCD, we derive an effective field theory description for forward scattering and factorization violation as part of the soft-collinear effective field theory (SCET) for high energy scattering. These phenomena are mediated by long distance Glauber gluon exchanges, which are static in time, localized in the longitudinal distance, and act as a kernel for forward scattering where |t| s. In hard scattering, Glauber gluons can induce corrections which invalidate factorization. With SCET, Glauber exchange graphs can be calculated explicitly, and are distinct from graphs involving soft, collinear, or ultrasoft gluons. We derive a complete basis of operators which describe the leading power effects of Glauber exchange. Key ingredients include regulating light-cone rapidity singularities and subtractions which prevent double counting. Our results include a novel all orders gauge invariant pure glue soft operator which appears between two collinear rapidity sectors. The 1-gluon Feynman rule for the soft operator coincides with the Lipatov vertex, but it also contributes to emissions with ≥ 2 soft gluons. Our Glauber operator basis is derived using tree level and one-loop matching calculations from full QCD to both SCET II and SCET I . The one-loop amplitude's rapidity renormalization involves mixing of color octet operators and yields gluon Reggeization at the amplitude level. The rapidity renormalization group equation for the leading soft and collinear functions in the forward scattering cross section are each given by the BFKL equation. Various properties of Glauber gluon exchange in the context of both forward scattering and hard scattering factorization are described. For example, we derive an explicit rule for when eikonalization is valid, and provide a direct connection to the picture of multiple Wilson lines crossing a shockwave. In hard scattering operators Glauber subtractions for soft and collinear loop diagrams ensure that we are not sensitive to the directions for soft and collinear Wilson lines. Conversely, certain Glauber interactions can be absorbed into these soft and collinear Wilson lines by taking them to be in specific directions. We also discuss criteria for factorization violation.

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Section: One Loop Soft Real Emission For Soft-glauber Correspondencementioning

confidence: 99%

Section: Jhep08(2016)025mentioning

confidence: 99%

Section: Jhep08(2016)025 1 Introductionmentioning

confidence: 99%

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An effective field theory for forward scattering and factorization violation

Rothstein

Stewart

2016

J. High Energ. Phys.

135

291

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“…In the case of heavy quarkonium, which contains a heavy quark and antiquark, the heavy quark mass is an essential complication. A proof of the LP factorization formula for the production of heavy quarkonium was sketched by Nayak, Qiu, and Sterman [26]. The proof has been extended to the next-to-leading power (NLP) of 1/P 2 T by Kang, Ma, Qiu, and Sterman [27][28][29][30].…”

Section: B Final-state Factorizationmentioning

confidence: 99%

Inclusive Higgs production at large transverse momentum

Braaten

Zhang

2016

Phys. Rev. D

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We present a factorization formula for the inclusive production of the Higgs boson at large transverse momentum P T that includes all terms with the leading power of 1/P 2 T . The cross section is factorized into convolutions of parton distributions, infrared-safe hard-scattering cross sections for producing a parton, and fragmentation functions that give the distribution of the longitudinal momentum fraction of the Higgs relative to the fragmenting parton. The infrared-safe cross sections and the fragmentation functions are perturbatively calculable. The most important fragmentation functions are those for which the fragmenting parton is the top quark, gluon, W , Z, and the Higgs itself. We calculate the fragmentation functions at leading order in the Standard Model coupling constants. The factorization formula enables the resummation of large logarithms of P T /M H due to final-state radiation by integrating evolution equations for the fragmentation functions. By comparing the cross section for the process qq → Htt from the leading-power factorization formula at leading order in the coupling constants with the complete leading-order cross section, we infer that the error in the factorization formula decreases to less than 5% for P T > 600 GeV at a future 100 TeV

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“…Now let us discuss the hadroproduction of v cJ from color singlet c c pair at high-energy colliders. If the factorization theorem is valid [1,33,34,[37][38][39][40][41][42][43][44][45][46] then the v cJ production from the color singlet c c pair at high energy colliders is given by…”

Section: Closed-time Path Integral Formalism and The Generating Functmentioning

confidence: 99%