Leading-logarithmic threshold resummation of the Drell-Yan process at next-to-leading power

Beneke, Μ.; Broggio, Alessandro; Garny, Mathias; Jaskiewicz, Sebastian; Szafron, Robert; Vernazza, Leonardo; Wang, Jian

doi:10.1007/jhep03(2019)043

Cited by 96 publications

(177 citation statements)

References 35 publications

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“…1 (x a n + p A ; ω) S where we set µ = Q. We note that leading logarithms, ∼ α 2 s ln 3 (1 − z) do not appear which is an indication that the definition used for collinear function is consistent [2]. The C 2 F term in (5.5) is in agreement with the corresponding abelian contribution considered in Eq.…”

Section: Collinear Function At One-loop Order and Fixed-order Checksupporting

confidence: 53%

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Next-to-leading power threshold factorization for Drell-Yan production

Jaskiewicz¹

2019

Proceedings of 14th International Symposium on Radiative Corrections — PoS(RADCOR2019)

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We present the next-to-leading power (NLP) factorization formula for the qq → γ * + X channel of the Drell-Yan production near the kinematic threshold limit. The formalism used for the computation of next-to-leading power corrections within soft-collinear effective field theory is introduced, we discuss the emergence of new objects, the NLP collinear functions, and define them through an operator matching equation. We review the leading power factorization before extending it to subleading powers. We also present the one-loop result for the newly introduced collinear function, and demonstrate explicitly conceptual issues in performing next-to-leading logarithmic resummation at next-to-leading power.

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Section: Collinear Function At One-loop Order and Fixed-order Checksupporting

confidence: 53%

“…The formalism we use here was developed in [3,14,15,16]. 2 A generic, N-jet, operator has the following form…”

Section: Scet Formalismmentioning

confidence: 99%

Next-to-leading power threshold factorization for Drell-Yan production

Jaskiewicz¹

2019

Proceedings of 14th International Symposium on Radiative Corrections — PoS(RADCOR2019)

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“…The basis of such operators in the position-space SCET formalism is discussed in [19][20][21] 2 . Following the same arguments as for qq → γ * [11,26], to first subleading power in (1 − z), i.e. to order λ 2 , the LLs arise only from the time-ordered product of the LP operator J A0 with the O(λ 2 ) suppressed interactions from the SCET Lagrangian [27],…”

Section: Threshold Factorization At Nlpmentioning

confidence: 97%

“…An analysis of the interaction terms similar to [11], now for the Yang-Mills SCET Lagrangian, shows that only the two terms…”

Section: Threshold Factorization At Nlpmentioning

confidence: 99%

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Leading-logarithmic threshold resummation of Higgs production in gluon fusion at next-to-leading power

Beneke

Garny

Jaskiewicz

et al. 2020

J. High Energ. Phys.

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We sum the leading logarithms α n s ln 2n−1 (1 − z), n = 1, 2, . . . near the kinematic threshold z = m 2 H /ŝ → 1 at next-to-leading power in the expansion in (1 − z) for Higgs production in gluon fusion. We highlight the new contributions compared to Drell-Yan production in quark-antiquark annihilation and show that the final result can be obtained to all orders by the substitution of the colour factor C F → C A , confirming previous fixed-order results and conjectures. We also provide a numerical analysis of the next-to-leading power leading logarithms, which indicates that they are numerically relevant.

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Factorization at subleading power and endpoint divergences in h → γγ decay. Part II. Renormalization and scale evolution

Liu

Mecaj

Neubert

et al. 2021

J. High Energ. Phys.

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Building on the recent derivation of a bare factorization theorem for the b-quark induced contribution to the h → γγ decay amplitude based on soft-collinear effective theory, we derive the first renormalized factorization theorem for a process described at subleading power in scale ratios, where λ = mb/Mh « 1 in our case. We prove two refactorization conditions for a matching coefficient and an operator matrix element in the endpoint region, where they exhibit singularities giving rise to divergent convolution integrals. The refactorization conditions ensure that the dependence of the decay amplitude on the rapidity regulator, which regularizes the endpoint singularities, cancels out to all orders of perturbation theory. We establish the renormalized form of the factorization formula, proving that extra contributions arising from the fact that “endpoint regularization” does not commute with renormalization can be absorbed, to all orders, by a redefinition of one of the matching coefficients. We derive the renormalization-group evolution equation satisfied by all quantities in the factorization formula and use them to predict the large logarithms of order $$ {\alpha \alpha}_s^2{L}^k $$ αα s 2 L k in the three-loop decay amplitude, where $$ L=\ln \left(-{M}_h^2/{m}_b^2\right) $$ L = ln − M h 2 / m b 2 and k = 6, 5, 4, 3. We find perfect agreement with existing numerical results for the amplitude and analytical results for the three-loop contributions involving a massless quark loop. On the other hand, we disagree with the results of previous attempts to predict the series of subleading logarithms $$ \sim {\alpha \alpha}_s^n{L}^{2n+1} $$ ∼ αα s n L 2 n + 1 .

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Leading-logarithmic threshold resummation of the Drell-Yan process at next-to-leading power

Cited by 96 publications

References 35 publications

Next-to-leading power threshold factorization for Drell-Yan production

Next-to-leading power threshold factorization for Drell-Yan production

Leading-logarithmic threshold resummation of Higgs production in gluon fusion at next-to-leading power

Factorization at subleading power and endpoint divergences in h → γγ decay. Part II. Renormalization and scale evolution

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